0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.080 * * * [progress]: [2/2] Setting up program. 0.084 * [progress]: [Phase 2 of 3] Improving. 0.084 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.085 * [simplify]: Simplifying (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (hypot 1 x)))))) 0.085 * * [simplify]: iters left: 6 (9 enodes) 0.090 * * [simplify]: iters left: 5 (39 enodes) 0.101 * * [simplify]: iters left: 4 (49 enodes) 0.128 * * [simplify]: iters left: 3 (51 enodes) 0.134 * * [simplify]: Extracting #0: cost 1 inf + 0 0.134 * * [simplify]: Extracting #1: cost 5 inf + 0 0.134 * * [simplify]: Extracting #2: cost 7 inf + 1 0.134 * * [simplify]: Extracting #3: cost 12 inf + 1 0.134 * * [simplify]: Extracting #4: cost 15 inf + 2 0.134 * * [simplify]: Extracting #5: cost 17 inf + 2 0.135 * * [simplify]: Extracting #6: cost 15 inf + 60 0.135 * * [simplify]: Extracting #7: cost 6 inf + 1143 0.135 * * [simplify]: Extracting #8: cost 0 inf + 2360 0.136 * * [simplify]: Extracting #9: cost 0 inf + 2285 0.136 * [simplify]: Simplified to (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 0.136 * [simplify]: Simplified (2) to (λ (x) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 0.142 * * [progress]: iteration 1 / 4 0.142 * * * [progress]: picking best candidate 0.144 * * * * [pick]: Picked # 0.144 * * * [progress]: localizing error 0.157 * * * [progress]: generating rewritten candidates 0.157 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.206 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 0.213 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2) 0.214 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.226 * * * [progress]: generating series expansions 0.226 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.227 * [backup-simplify]: Simplify (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 0.227 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in (x) around 0 0.227 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.227 * [taylor]: Taking taylor expansion of 1 in x 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.227 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.227 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.227 * [taylor]: Taking taylor expansion of 1/2 in x 0.227 * [backup-simplify]: Simplify 1/2 into 1/2 0.227 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.227 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.227 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.227 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.227 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.227 * [taylor]: Taking taylor expansion of 1 in x 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [taylor]: Taking taylor expansion of 1 in x 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [taylor]: Taking taylor expansion of (* x x) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (* 1 1) into 1 0.228 * [backup-simplify]: Simplify (* 0 0) into 0 0.228 * [backup-simplify]: Simplify (+ 1 0) into 1 0.228 * [backup-simplify]: Simplify (sqrt 1) into 1 0.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.229 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.230 * [backup-simplify]: Simplify (/ 1 1) into 1 0.230 * [taylor]: Taking taylor expansion of 1/2 in x 0.230 * [backup-simplify]: Simplify 1/2 into 1/2 0.230 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.230 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.231 * [backup-simplify]: Simplify (sqrt 1) into 1 0.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.232 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.232 * [taylor]: Taking taylor expansion of 1 in x 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.232 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.232 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.232 * [taylor]: Taking taylor expansion of 1/2 in x 0.232 * [backup-simplify]: Simplify 1/2 into 1/2 0.232 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.232 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.232 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.232 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.232 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.232 * [taylor]: Taking taylor expansion of 1 in x 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [taylor]: Taking taylor expansion of 1 in x 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [taylor]: Taking taylor expansion of (* x x) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [backup-simplify]: Simplify (* 1 1) into 1 0.233 * [backup-simplify]: Simplify (* 0 0) into 0 0.233 * [backup-simplify]: Simplify (+ 1 0) into 1 0.233 * [backup-simplify]: Simplify (sqrt 1) into 1 0.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.234 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.234 * [backup-simplify]: Simplify (+ 0 0) into 0 0.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.235 * [backup-simplify]: Simplify (/ 1 1) into 1 0.235 * [taylor]: Taking taylor expansion of 1/2 in x 0.235 * [backup-simplify]: Simplify 1/2 into 1/2 0.235 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.236 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.236 * [backup-simplify]: Simplify (sqrt 1) into 1 0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.237 * [backup-simplify]: Simplify (+ 0 0) into 0 0.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.238 * [backup-simplify]: Simplify (- 1) into -1 0.238 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify (- 0) into 0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.240 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.240 * [backup-simplify]: Simplify (+ 0 1) into 1 0.240 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.242 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.242 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.242 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 0.243 * [backup-simplify]: Simplify (- -1/8) into 1/8 0.243 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 0.243 * [backup-simplify]: Simplify 1/8 into 1/8 0.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.244 * [backup-simplify]: Simplify (+ 0 0) into 0 0.245 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.247 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.247 * [backup-simplify]: Simplify (+ 0 0) into 0 0.248 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 0.248 * [backup-simplify]: Simplify (- 0) into 0 0.248 * [backup-simplify]: Simplify (+ 0 0) into 0 0.248 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.249 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.250 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.252 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.252 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.253 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 0.254 * [backup-simplify]: Simplify (- 11/128) into -11/128 0.254 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 0.254 * [backup-simplify]: Simplify -11/128 into -11/128 0.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.255 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.256 * [backup-simplify]: Simplify (+ 0 0) into 0 0.256 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 0.259 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 0.259 * [backup-simplify]: Simplify (+ 0 0) into 0 0.260 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 11/128)) (* 2 (* -1/8 0)))) (* 2 1)) into 0 0.260 * [backup-simplify]: Simplify (- 0) into 0 0.260 * [backup-simplify]: Simplify (+ 0 0) into 0 0.260 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.262 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.262 * [backup-simplify]: Simplify (+ 0 0) into 0 0.263 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 0.265 * [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 0.266 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 0.266 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 0.267 * [backup-simplify]: Simplify (/ (- -5/32 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/8 11/128)))) (* 2 1)) into -69/1024 0.267 * [backup-simplify]: Simplify (- -69/1024) into 69/1024 0.268 * [backup-simplify]: Simplify (+ 0 69/1024) into 69/1024 0.268 * [backup-simplify]: Simplify 69/1024 into 69/1024 0.268 * [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))) 0.268 * [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))) 0.268 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in (x) around 0 0.268 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.268 * [taylor]: Taking taylor expansion of 1 in x 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.268 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.268 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.268 * [taylor]: Taking taylor expansion of 1/2 in x 0.268 * [backup-simplify]: Simplify 1/2 into 1/2 0.268 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.268 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.268 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.268 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.268 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.268 * [taylor]: Taking taylor expansion of 1 in x 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [taylor]: Taking taylor expansion of 1 in x 0.268 * [backup-simplify]: Simplify 1 into 1 0.269 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (/ 1 1) into 1 0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (/ 1 1) into 1 0.269 * [backup-simplify]: Simplify (* 1 1) into 1 0.270 * [backup-simplify]: Simplify (+ 0 1) into 1 0.270 * [backup-simplify]: Simplify (sqrt 1) into 1 0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.271 * [backup-simplify]: Simplify (+ 0 0) into 0 0.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.272 * [backup-simplify]: Simplify (/ 1 1) into 1 0.272 * [taylor]: Taking taylor expansion of 1/2 in x 0.272 * [backup-simplify]: Simplify 1/2 into 1/2 0.272 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.272 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.273 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.273 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.274 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.274 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.274 * [taylor]: Taking taylor expansion of 1 in x 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.274 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.274 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.274 * [taylor]: Taking taylor expansion of 1/2 in x 0.274 * [backup-simplify]: Simplify 1/2 into 1/2 0.274 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.274 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.274 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.274 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.274 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.274 * [taylor]: Taking taylor expansion of 1 in x 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [taylor]: Taking taylor expansion of 1 in x 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (/ 1 1) into 1 0.274 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.275 * [backup-simplify]: Simplify (/ 1 1) into 1 0.275 * [backup-simplify]: Simplify (* 1 1) into 1 0.275 * [backup-simplify]: Simplify (+ 0 1) into 1 0.275 * [backup-simplify]: Simplify (sqrt 1) into 1 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.277 * [backup-simplify]: Simplify (+ 0 0) into 0 0.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.277 * [backup-simplify]: Simplify (/ 1 1) into 1 0.277 * [taylor]: Taking taylor expansion of 1/2 in x 0.278 * [backup-simplify]: Simplify 1/2 into 1/2 0.278 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.278 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.278 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.279 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.279 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.280 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.281 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.281 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.282 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.285 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.287 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.292 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.292 * [backup-simplify]: Simplify (+ 0 0) into 0 0.298 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.300 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.304 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.306 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.311 * [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))) 0.311 * [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))) 0.312 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in (x) around 0 0.312 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.312 * [taylor]: Taking taylor expansion of 1 in x 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.312 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.312 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.312 * [taylor]: Taking taylor expansion of 1/2 in x 0.312 * [backup-simplify]: Simplify 1/2 into 1/2 0.312 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.312 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.312 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.312 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.312 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.312 * [taylor]: Taking taylor expansion of 1 in x 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [taylor]: Taking taylor expansion of 1 in x 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.312 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.312 * [taylor]: Taking taylor expansion of -1 in x 0.312 * [backup-simplify]: Simplify -1 into -1 0.312 * [taylor]: Taking taylor expansion of x in x 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (/ -1 1) into -1 0.312 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.312 * [taylor]: Taking taylor expansion of -1 in x 0.312 * [backup-simplify]: Simplify -1 into -1 0.312 * [taylor]: Taking taylor expansion of x in x 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (/ -1 1) into -1 0.313 * [backup-simplify]: Simplify (* -1 -1) into 1 0.313 * [backup-simplify]: Simplify (+ 0 1) into 1 0.313 * [backup-simplify]: Simplify (sqrt 1) into 1 0.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.316 * [backup-simplify]: Simplify (/ 1 1) into 1 0.316 * [taylor]: Taking taylor expansion of 1/2 in x 0.316 * [backup-simplify]: Simplify 1/2 into 1/2 0.316 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.316 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.316 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.317 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.317 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.317 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.317 * [taylor]: Taking taylor expansion of 1 in x 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.318 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.318 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.318 * [taylor]: Taking taylor expansion of 1/2 in x 0.318 * [backup-simplify]: Simplify 1/2 into 1/2 0.318 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.318 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.318 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.318 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.318 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.318 * [taylor]: Taking taylor expansion of 1 in x 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [taylor]: Taking taylor expansion of 1 in x 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.318 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.318 * [taylor]: Taking taylor expansion of -1 in x 0.318 * [backup-simplify]: Simplify -1 into -1 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (/ -1 1) into -1 0.318 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.318 * [taylor]: Taking taylor expansion of -1 in x 0.318 * [backup-simplify]: Simplify -1 into -1 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (/ -1 1) into -1 0.319 * [backup-simplify]: Simplify (* -1 -1) into 1 0.319 * [backup-simplify]: Simplify (+ 0 1) into 1 0.319 * [backup-simplify]: Simplify (sqrt 1) into 1 0.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.321 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.321 * [backup-simplify]: Simplify (/ 1 1) into 1 0.322 * [taylor]: Taking taylor expansion of 1/2 in x 0.322 * [backup-simplify]: Simplify 1/2 into 1/2 0.322 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.322 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.322 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.323 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.323 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.324 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.325 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.325 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.326 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.328 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.330 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.331 * [backup-simplify]: Simplify (+ 0 0) into 0 0.334 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.335 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.337 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.339 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.342 * [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)) 0.342 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 0.342 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 0.342 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 0.342 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.342 * [taylor]: Taking taylor expansion of 1/2 in x 0.342 * [backup-simplify]: Simplify 1/2 into 1/2 0.342 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.342 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.342 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.342 * [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 (* x x) in x 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 * [taylor]: Taking taylor expansion of x in x 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 1 into 1 0.343 * [backup-simplify]: Simplify (* 1 1) into 1 0.343 * [backup-simplify]: Simplify (* 0 0) into 0 0.343 * [backup-simplify]: Simplify (+ 1 0) into 1 0.343 * [backup-simplify]: Simplify (sqrt 1) into 1 0.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.344 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.344 * [backup-simplify]: Simplify (+ 0 0) into 0 0.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.345 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.345 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.345 * [taylor]: Taking taylor expansion of 1/2 in x 0.345 * [backup-simplify]: Simplify 1/2 into 1/2 0.345 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.345 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.345 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.345 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.345 * [taylor]: Taking taylor expansion of 1 in x 0.345 * [backup-simplify]: Simplify 1 into 1 0.345 * [taylor]: Taking taylor expansion of 1 in x 0.345 * [backup-simplify]: Simplify 1 into 1 0.345 * [taylor]: Taking taylor expansion of (* x x) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 1 into 1 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 1 into 1 0.345 * [backup-simplify]: Simplify (* 1 1) into 1 0.346 * [backup-simplify]: Simplify (* 0 0) into 0 0.346 * [backup-simplify]: Simplify (+ 1 0) into 1 0.346 * [backup-simplify]: Simplify (sqrt 1) into 1 0.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.347 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.347 * [backup-simplify]: Simplify (+ 0 0) into 0 0.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.348 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.348 * [backup-simplify]: Simplify 1/2 into 1/2 0.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.348 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.349 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.350 * [backup-simplify]: Simplify (+ 0 1) into 1 0.350 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.351 * [backup-simplify]: Simplify -1/4 into -1/4 0.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.352 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.352 * [backup-simplify]: Simplify (+ 0 0) into 0 0.353 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.355 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.355 * [backup-simplify]: Simplify (+ 0 0) into 0 0.357 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.358 * [backup-simplify]: Simplify 3/16 into 3/16 0.359 * [backup-simplify]: Simplify (+ (* 3/16 (pow x 4)) (+ (* -1/4 (pow x 2)) 1/2)) into (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) 0.359 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 0.359 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 0.359 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.359 * [taylor]: Taking taylor expansion of 1/2 in x 0.359 * [backup-simplify]: Simplify 1/2 into 1/2 0.359 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.359 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.359 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.359 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.359 * [taylor]: Taking taylor expansion of 1 in x 0.359 * [backup-simplify]: Simplify 1 into 1 0.359 * [taylor]: Taking taylor expansion of 1 in x 0.359 * [backup-simplify]: Simplify 1 into 1 0.359 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 1 into 1 0.360 * [backup-simplify]: Simplify (/ 1 1) into 1 0.360 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 1 into 1 0.360 * [backup-simplify]: Simplify (/ 1 1) into 1 0.361 * [backup-simplify]: Simplify (* 1 1) into 1 0.361 * [backup-simplify]: Simplify (+ 0 1) into 1 0.361 * [backup-simplify]: Simplify (sqrt 1) into 1 0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.364 * [backup-simplify]: Simplify (+ 0 0) into 0 0.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.365 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.365 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.365 * [taylor]: Taking taylor expansion of 1/2 in x 0.365 * [backup-simplify]: Simplify 1/2 into 1/2 0.365 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.365 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.365 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.365 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.365 * [taylor]: Taking taylor expansion of 1 in x 0.366 * [backup-simplify]: Simplify 1 into 1 0.366 * [taylor]: Taking taylor expansion of 1 in x 0.366 * [backup-simplify]: Simplify 1 into 1 0.366 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.366 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 1 into 1 0.366 * [backup-simplify]: Simplify (/ 1 1) into 1 0.366 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 1 into 1 0.366 * [backup-simplify]: Simplify (/ 1 1) into 1 0.367 * [backup-simplify]: Simplify (* 1 1) into 1 0.367 * [backup-simplify]: Simplify (+ 0 1) into 1 0.368 * [backup-simplify]: Simplify (sqrt 1) into 1 0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.370 * [backup-simplify]: Simplify (+ 0 0) into 0 0.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.371 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.371 * [backup-simplify]: Simplify 1/2 into 1/2 0.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.372 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify (* 1 1) into 1 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.376 * [backup-simplify]: Simplify (+ 1 0) into 1 0.377 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.378 * [backup-simplify]: Simplify -1/4 into -1/4 0.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (+ 0 0) into 0 0.384 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.385 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.390 * [backup-simplify]: Simplify (+ 0 0) into 0 0.391 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.393 * [backup-simplify]: Simplify 3/16 into 3/16 0.393 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 x) 5)) (+ (* -1/4 (pow (/ 1 x) 3)) (* 1/2 (/ 1 x)))) into (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) 0.394 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 0.394 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 0.394 * [taylor]: Taking taylor expansion of (/ 1/2 (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 (hypot 1 (/ -1 x)) in x 0.394 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.394 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.394 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.394 * [taylor]: Taking taylor expansion of 1 in x 0.394 * [backup-simplify]: Simplify 1 into 1 0.394 * [taylor]: Taking taylor expansion of 1 in x 0.394 * [backup-simplify]: Simplify 1 into 1 0.394 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.394 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.394 * [taylor]: Taking taylor expansion of -1 in x 0.394 * [backup-simplify]: Simplify -1 into -1 0.394 * [taylor]: Taking taylor expansion of x in x 0.394 * [backup-simplify]: Simplify 0 into 0 0.394 * [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 -1 in x 0.395 * [backup-simplify]: Simplify -1 into -1 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 0.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.401 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.402 * [backup-simplify]: Simplify (+ 0 0) into 0 0.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.403 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.403 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.403 * [taylor]: Taking taylor expansion of 1/2 in x 0.403 * [backup-simplify]: Simplify 1/2 into 1/2 0.403 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.403 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.403 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.403 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.403 * [taylor]: Taking taylor expansion of 1 in x 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [taylor]: Taking taylor expansion of 1 in x 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.403 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.403 * [taylor]: Taking taylor expansion of -1 in x 0.403 * [backup-simplify]: Simplify -1 into -1 0.403 * [taylor]: Taking taylor expansion of x in x 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.404 * [backup-simplify]: Simplify (/ -1 1) into -1 0.404 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.404 * [taylor]: Taking taylor expansion of -1 in x 0.404 * [backup-simplify]: Simplify -1 into -1 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 1 into 1 0.404 * [backup-simplify]: Simplify (/ -1 1) into -1 0.405 * [backup-simplify]: Simplify (* -1 -1) into 1 0.405 * [backup-simplify]: Simplify (+ 0 1) into 1 0.406 * [backup-simplify]: Simplify (sqrt 1) into 1 0.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.408 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.408 * [backup-simplify]: Simplify (+ 0 0) into 0 0.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.409 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.409 * [backup-simplify]: Simplify 1/2 into 1/2 0.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.409 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify (* 1 1) into 1 0.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.411 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.411 * [backup-simplify]: Simplify (+ 1 0) into 1 0.412 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.413 * [backup-simplify]: Simplify -1/4 into -1/4 0.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.415 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.415 * [backup-simplify]: Simplify (+ 0 0) into 0 0.416 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.416 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.419 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.419 * [backup-simplify]: Simplify (+ 0 0) into 0 0.420 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.421 * [backup-simplify]: Simplify 3/16 into 3/16 0.421 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 (- x)) 5)) (+ (* -1/4 (pow (/ 1 (- x)) 3)) (* 1/2 (/ 1 (- x))))) into (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) 0.421 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2) 0.421 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 0.421 * [approximate]: Taking taylor expansion of (hypot 1 x) in (x) around 0 0.421 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.421 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.421 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.421 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.421 * [taylor]: Taking taylor expansion of 1 in x 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [taylor]: Taking taylor expansion of 1 in x 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [taylor]: Taking taylor expansion of (* x x) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (* 1 1) into 1 0.422 * [backup-simplify]: Simplify (* 0 0) into 0 0.422 * [backup-simplify]: Simplify (+ 1 0) into 1 0.422 * [backup-simplify]: Simplify (sqrt 1) into 1 0.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.423 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.423 * [backup-simplify]: Simplify (+ 0 0) into 0 0.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.424 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.424 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.424 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.424 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.424 * [taylor]: Taking taylor expansion of 1 in x 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [taylor]: Taking taylor expansion of 1 in x 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [taylor]: Taking taylor expansion of (* x x) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [backup-simplify]: Simplify (* 1 1) into 1 0.424 * [backup-simplify]: Simplify (* 0 0) into 0 0.425 * [backup-simplify]: Simplify (+ 1 0) into 1 0.425 * [backup-simplify]: Simplify (sqrt 1) into 1 0.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.426 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.427 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.428 * [backup-simplify]: Simplify (+ 0 1) into 1 0.428 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.428 * [backup-simplify]: Simplify 1/2 into 1/2 0.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.429 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.430 * [backup-simplify]: Simplify (+ 0 0) into 0 0.430 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.430 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.432 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.432 * [backup-simplify]: Simplify (+ 0 0) into 0 0.433 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.433 * [backup-simplify]: Simplify -1/8 into -1/8 0.433 * [backup-simplify]: Simplify (+ (* -1/8 (pow x 4)) (+ (* 1/2 (pow x 2)) 1)) into (- (+ (* 1/2 (pow x 2)) 1) (* 1/8 (pow x 4))) 0.433 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 0.433 * [approximate]: Taking taylor expansion of (hypot 1 (/ 1 x)) in (x) around 0 0.433 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.433 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.433 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.433 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.433 * [taylor]: Taking taylor expansion of 1 in x 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [taylor]: Taking taylor expansion of 1 in x 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.433 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [backup-simplify]: Simplify (/ 1 1) into 1 0.433 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.434 * [backup-simplify]: Simplify (/ 1 1) into 1 0.434 * [backup-simplify]: Simplify (* 1 1) into 1 0.434 * [backup-simplify]: Simplify (+ 0 1) into 1 0.434 * [backup-simplify]: Simplify (sqrt 1) into 1 0.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.436 * [backup-simplify]: Simplify (+ 0 0) into 0 0.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.436 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.436 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.436 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.436 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.436 * [taylor]: Taking taylor expansion of 1 in x 0.436 * [backup-simplify]: Simplify 1 into 1 0.436 * [taylor]: Taking taylor expansion of 1 in x 0.437 * [backup-simplify]: Simplify 1 into 1 0.437 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.437 * [taylor]: Taking taylor expansion of (/ 1 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.437 * [backup-simplify]: Simplify (* 1 1) into 1 0.438 * [backup-simplify]: Simplify (+ 0 1) into 1 0.438 * [backup-simplify]: Simplify (sqrt 1) into 1 0.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.440 * [backup-simplify]: Simplify (+ 0 0) into 0 0.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify (* 1 1) into 1 0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.442 * [backup-simplify]: Simplify (+ 1 0) into 1 0.443 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.443 * [backup-simplify]: Simplify 1/2 into 1/2 0.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (+ 0 0) into 0 0.447 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.452 * [backup-simplify]: Simplify (+ 0 0) into 0 0.453 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.453 * [backup-simplify]: Simplify -1/8 into -1/8 0.454 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* 1/2 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- (+ x (* 1/2 (/ 1 x))) (* 1/8 (/ 1 (pow x 3)))) 0.454 * [backup-simplify]: Simplify (hypot 1 (/ 1 (- x))) into (hypot 1 (/ -1 x)) 0.454 * [approximate]: Taking taylor expansion of (hypot 1 (/ -1 x)) in (x) around 0 0.454 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.454 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.454 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.454 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.454 * [taylor]: Taking taylor expansion of 1 in x 0.454 * [backup-simplify]: Simplify 1 into 1 0.454 * [taylor]: Taking taylor expansion of 1 in x 0.454 * [backup-simplify]: Simplify 1 into 1 0.454 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.454 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.454 * [taylor]: Taking taylor expansion of -1 in x 0.454 * [backup-simplify]: Simplify -1 into -1 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify 1 into 1 0.455 * [backup-simplify]: Simplify (/ -1 1) into -1 0.455 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.455 * [taylor]: Taking taylor expansion of -1 in x 0.455 * [backup-simplify]: Simplify -1 into -1 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 1 into 1 0.456 * [backup-simplify]: Simplify (/ -1 1) into -1 0.456 * [backup-simplify]: Simplify (* -1 -1) into 1 0.456 * [backup-simplify]: Simplify (+ 0 1) into 1 0.457 * [backup-simplify]: Simplify (sqrt 1) into 1 0.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.459 * [backup-simplify]: Simplify (+ 0 0) into 0 0.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.460 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.460 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.460 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.460 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.460 * [taylor]: Taking taylor expansion of 1 in x 0.460 * [backup-simplify]: Simplify 1 into 1 0.460 * [taylor]: Taking taylor expansion of 1 in x 0.461 * [backup-simplify]: Simplify 1 into 1 0.461 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.461 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.461 * [taylor]: Taking taylor expansion of -1 in x 0.461 * [backup-simplify]: Simplify -1 into -1 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 1 into 1 0.461 * [backup-simplify]: Simplify (/ -1 1) into -1 0.461 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.461 * [taylor]: Taking taylor expansion of -1 in x 0.461 * [backup-simplify]: Simplify -1 into -1 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 1 into 1 0.462 * [backup-simplify]: Simplify (/ -1 1) into -1 0.462 * [backup-simplify]: Simplify (* -1 -1) into 1 0.463 * [backup-simplify]: Simplify (+ 0 1) into 1 0.463 * [backup-simplify]: Simplify (sqrt 1) into 1 0.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.466 * [backup-simplify]: Simplify (+ 0 0) into 0 0.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.467 * [backup-simplify]: Simplify 1 into 1 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify (* 1 1) into 1 0.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.470 * [backup-simplify]: Simplify (+ 1 0) into 1 0.472 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.472 * [backup-simplify]: Simplify 1/2 into 1/2 0.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.476 * [backup-simplify]: Simplify (+ 0 0) into 0 0.477 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.477 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.481 * [backup-simplify]: Simplify (+ 0 0) into 0 0.482 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.482 * [backup-simplify]: Simplify -1/8 into -1/8 0.483 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 (- x)) 3)) (+ (* 1/2 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (* 1/8 (/ 1 (pow x 3))) (+ x (* 1/2 (/ 1 x)))) 0.483 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.483 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0.483 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in (x) around 0 0.483 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.483 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.483 * [taylor]: Taking taylor expansion of 1/2 in x 0.483 * [backup-simplify]: Simplify 1/2 into 1/2 0.483 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.483 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.483 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.483 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.483 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.483 * [taylor]: Taking taylor expansion of 1 in x 0.483 * [backup-simplify]: Simplify 1 into 1 0.483 * [taylor]: Taking taylor expansion of 1 in x 0.483 * [backup-simplify]: Simplify 1 into 1 0.483 * [taylor]: Taking taylor expansion of (* x x) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 1 into 1 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 1 into 1 0.484 * [backup-simplify]: Simplify (* 1 1) into 1 0.484 * [backup-simplify]: Simplify (* 0 0) into 0 0.485 * [backup-simplify]: Simplify (+ 1 0) into 1 0.485 * [backup-simplify]: Simplify (sqrt 1) into 1 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.486 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.486 * [backup-simplify]: Simplify (+ 0 0) into 0 0.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.487 * [backup-simplify]: Simplify (/ 1 1) into 1 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 (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.487 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.488 * [taylor]: Taking taylor expansion of 1/2 in x 0.488 * [backup-simplify]: Simplify 1/2 into 1/2 0.488 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.488 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.488 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.488 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.488 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.488 * [taylor]: Taking taylor expansion of 1 in x 0.488 * [backup-simplify]: Simplify 1 into 1 0.488 * [taylor]: Taking taylor expansion of 1 in x 0.488 * [backup-simplify]: Simplify 1 into 1 0.488 * [taylor]: Taking taylor expansion of (* x x) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 1 into 1 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 1 into 1 0.488 * [backup-simplify]: Simplify (* 1 1) into 1 0.489 * [backup-simplify]: Simplify (* 0 0) into 0 0.489 * [backup-simplify]: Simplify (+ 1 0) into 1 0.490 * [backup-simplify]: Simplify (sqrt 1) into 1 0.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.491 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.491 * [backup-simplify]: Simplify (+ 0 0) into 0 0.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.492 * [backup-simplify]: Simplify (/ 1 1) into 1 0.492 * [taylor]: Taking taylor expansion of 1/2 in x 0.492 * [backup-simplify]: Simplify 1/2 into 1/2 0.493 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.493 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.493 * [backup-simplify]: Simplify 1 into 1 0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.494 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.495 * [backup-simplify]: Simplify (+ 0 0) into 0 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.496 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.497 * [backup-simplify]: Simplify (+ 0 1) into 1 0.497 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.500 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.500 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.500 * [backup-simplify]: Simplify -1/4 into -1/4 0.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.503 * [backup-simplify]: Simplify (+ 0 0) into 0 0.504 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.507 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.507 * [backup-simplify]: Simplify (+ 0 0) into 0 0.507 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.509 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.510 * [backup-simplify]: Simplify (+ 0 0) into 0 0.511 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.515 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.515 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.515 * [backup-simplify]: Simplify 3/16 into 3/16 0.515 * [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))) 0.516 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0.516 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in (x) around 0 0.516 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.516 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.516 * [taylor]: Taking taylor expansion of 1/2 in x 0.516 * [backup-simplify]: Simplify 1/2 into 1/2 0.516 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.516 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.516 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.516 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.516 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.516 * [taylor]: Taking taylor expansion of 1 in x 0.516 * [backup-simplify]: Simplify 1 into 1 0.516 * [taylor]: Taking taylor expansion of 1 in x 0.516 * [backup-simplify]: Simplify 1 into 1 0.516 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.516 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 1 into 1 0.516 * [backup-simplify]: Simplify (/ 1 1) into 1 0.516 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify 1 into 1 0.517 * [backup-simplify]: Simplify (/ 1 1) into 1 0.519 * [backup-simplify]: Simplify (* 1 1) into 1 0.520 * [backup-simplify]: Simplify (+ 0 1) into 1 0.520 * [backup-simplify]: Simplify (sqrt 1) into 1 0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.523 * [backup-simplify]: Simplify (+ 0 0) into 0 0.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.524 * [backup-simplify]: Simplify (/ 1 1) into 1 0.524 * [taylor]: Taking taylor expansion of 1/2 in x 0.524 * [backup-simplify]: Simplify 1/2 into 1/2 0.524 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.524 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.524 * [taylor]: Taking taylor expansion of 1/2 in x 0.524 * [backup-simplify]: Simplify 1/2 into 1/2 0.524 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.524 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.524 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.524 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.524 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.524 * [taylor]: Taking taylor expansion of 1 in x 0.524 * [backup-simplify]: Simplify 1 into 1 0.524 * [taylor]: Taking taylor expansion of 1 in x 0.524 * [backup-simplify]: Simplify 1 into 1 0.524 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify 1 into 1 0.525 * [backup-simplify]: Simplify (/ 1 1) into 1 0.525 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 1 into 1 0.525 * [backup-simplify]: Simplify (/ 1 1) into 1 0.526 * [backup-simplify]: Simplify (* 1 1) into 1 0.526 * [backup-simplify]: Simplify (+ 0 1) into 1 0.526 * [backup-simplify]: Simplify (sqrt 1) into 1 0.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.529 * [backup-simplify]: Simplify (+ 0 0) into 0 0.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.530 * [backup-simplify]: Simplify (/ 1 1) into 1 0.530 * [taylor]: Taking taylor expansion of 1/2 in x 0.530 * [backup-simplify]: Simplify 1/2 into 1/2 0.531 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.531 * [backup-simplify]: Simplify 1/2 into 1/2 0.531 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.532 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.532 * [backup-simplify]: Simplify 1/2 into 1/2 0.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.533 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.534 * [backup-simplify]: Simplify (+ 0 0) into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify (* 1 1) into 1 0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.537 * [backup-simplify]: Simplify (+ 1 0) into 1 0.538 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.541 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.541 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.541 * [backup-simplify]: Simplify -1/4 into -1/4 0.541 * [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)))) 0.542 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0.542 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in (x) around 0 0.542 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.542 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.542 * [taylor]: Taking taylor expansion of 1/2 in x 0.542 * [backup-simplify]: Simplify 1/2 into 1/2 0.542 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.542 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.542 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.542 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.542 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.542 * [taylor]: Taking taylor expansion of 1 in x 0.542 * [backup-simplify]: Simplify 1 into 1 0.542 * [taylor]: Taking taylor expansion of 1 in x 0.542 * [backup-simplify]: Simplify 1 into 1 0.542 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.542 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.542 * [taylor]: Taking taylor expansion of -1 in x 0.542 * [backup-simplify]: Simplify -1 into -1 0.542 * [taylor]: Taking taylor expansion of x in x 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 1 into 1 0.543 * [backup-simplify]: Simplify (/ -1 1) into -1 0.543 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.543 * [taylor]: Taking taylor expansion of -1 in x 0.543 * [backup-simplify]: Simplify -1 into -1 0.543 * [taylor]: Taking taylor expansion of x in x 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 1 into 1 0.543 * [backup-simplify]: Simplify (/ -1 1) into -1 0.544 * [backup-simplify]: Simplify (* -1 -1) into 1 0.544 * [backup-simplify]: Simplify (+ 0 1) into 1 0.544 * [backup-simplify]: Simplify (sqrt 1) into 1 0.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.547 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.547 * [backup-simplify]: Simplify (+ 0 0) into 0 0.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.548 * [backup-simplify]: Simplify (/ 1 1) into 1 0.548 * [taylor]: Taking taylor expansion of 1/2 in x 0.548 * [backup-simplify]: Simplify 1/2 into 1/2 0.548 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.548 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.548 * [taylor]: Taking taylor expansion of 1/2 in x 0.548 * [backup-simplify]: Simplify 1/2 into 1/2 0.548 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.548 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.549 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.549 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.549 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.549 * [taylor]: Taking taylor expansion of 1 in x 0.549 * [backup-simplify]: Simplify 1 into 1 0.549 * [taylor]: Taking taylor expansion of 1 in x 0.549 * [backup-simplify]: Simplify 1 into 1 0.549 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.549 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.549 * [taylor]: Taking taylor expansion of -1 in x 0.549 * [backup-simplify]: Simplify -1 into -1 0.549 * [taylor]: Taking taylor expansion of x in x 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 1 into 1 0.549 * [backup-simplify]: Simplify (/ -1 1) into -1 0.549 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.549 * [taylor]: Taking taylor expansion of -1 in x 0.549 * [backup-simplify]: Simplify -1 into -1 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify 1 into 1 0.550 * [backup-simplify]: Simplify (/ -1 1) into -1 0.550 * [backup-simplify]: Simplify (* -1 -1) into 1 0.551 * [backup-simplify]: Simplify (+ 0 1) into 1 0.551 * [backup-simplify]: Simplify (sqrt 1) into 1 0.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.554 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.554 * [backup-simplify]: Simplify (+ 0 0) into 0 0.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.555 * [backup-simplify]: Simplify (/ 1 1) into 1 0.555 * [taylor]: Taking taylor expansion of 1/2 in x 0.555 * [backup-simplify]: Simplify 1/2 into 1/2 0.556 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.556 * [backup-simplify]: Simplify 1/2 into 1/2 0.556 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.556 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.556 * [backup-simplify]: Simplify 1/2 into 1/2 0.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.558 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.558 * [backup-simplify]: Simplify (+ 0 0) into 0 0.558 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify (* 1 1) into 1 0.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.562 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.562 * [backup-simplify]: Simplify (+ 1 0) into 1 0.563 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.565 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.566 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.566 * [backup-simplify]: Simplify -1/4 into -1/4 0.566 * [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))) 0.566 * * * [progress]: simplifying candidates 0.566 * * * * [progress]: [ 1 / 127 ] simplifiying candidate # 0.566 * [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))))))) 0.567 * * [simplify]: iters left: 6 (14 enodes) 0.574 * * [simplify]: iters left: 5 (54 enodes) 0.593 * * [simplify]: iters left: 4 (75 enodes) 0.615 * * [simplify]: iters left: 3 (91 enodes) 0.643 * * [simplify]: iters left: 2 (129 enodes) 0.686 * * [simplify]: iters left: 1 (200 enodes) 0.760 * * [simplify]: Extracting #0: cost 1 inf + 0 0.760 * * [simplify]: Extracting #1: cost 5 inf + 0 0.760 * * [simplify]: Extracting #2: cost 34 inf + 1 0.760 * * [simplify]: Extracting #3: cost 76 inf + 3 0.761 * * [simplify]: Extracting #4: cost 77 inf + 7 0.761 * * [simplify]: Extracting #5: cost 79 inf + 8 0.761 * * [simplify]: Extracting #6: cost 71 inf + 596 0.762 * * [simplify]: Extracting #7: cost 65 inf + 1864 0.764 * * [simplify]: Extracting #8: cost 39 inf + 15280 0.769 * * [simplify]: Extracting #9: cost 1 inf + 44233 0.774 * * [simplify]: Extracting #10: cost 0 inf + 45004 0.780 * [simplify]: Simplified to (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 0.780 * [simplify]: Simplified (2 1) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (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)))))))) 0.781 * [simplify]: Simplifying (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)))))) 0.781 * * [simplify]: iters left: 6 (12 enodes) 0.784 * * [simplify]: iters left: 5 (44 enodes) 0.802 * * [simplify]: iters left: 4 (62 enodes) 0.825 * * [simplify]: iters left: 3 (103 enodes) 0.859 * * [simplify]: iters left: 2 (151 enodes) 0.889 * * [simplify]: iters left: 1 (222 enodes) 0.956 * * [simplify]: Extracting #0: cost 1 inf + 0 0.956 * * [simplify]: Extracting #1: cost 0 inf + 1 0.956 * [simplify]: Simplified to 0 0.956 * [simplify]: Simplified (2 2) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 0)) 0.956 * * * * [progress]: [ 2 / 127 ] simplifiying candidate # 0.956 * [simplify]: Simplifying (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))))))) 0.957 * * [simplify]: iters left: 6 (15 enodes) 0.965 * * [simplify]: iters left: 5 (56 enodes) 0.982 * * [simplify]: iters left: 4 (68 enodes) 0.999 * * [simplify]: Extracting #0: cost 1 inf + 0 0.999 * * [simplify]: Extracting #1: cost 5 inf + 0 0.999 * * [simplify]: Extracting #2: cost 10 inf + 1 0.999 * * [simplify]: Extracting #3: cost 16 inf + 1 0.999 * * [simplify]: Extracting #4: cost 19 inf + 1 0.999 * * [simplify]: Extracting #5: cost 22 inf + 1 0.999 * * [simplify]: Extracting #6: cost 23 inf + 2 1.000 * * [simplify]: Extracting #7: cost 25 inf + 2 1.000 * * [simplify]: Extracting #8: cost 23 inf + 60 1.000 * * [simplify]: Extracting #9: cost 17 inf + 927 1.001 * * [simplify]: Extracting #10: cost 7 inf + 3627 1.002 * * [simplify]: Extracting #11: cost 1 inf + 5575 1.004 * * [simplify]: Extracting #12: cost 0 inf + 5953 1.006 * [simplify]: Simplified to (- 1 (* (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 1.006 * [simplify]: Simplified (2 1) to (λ (x) (+ (- 1 (* (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (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)))))))) 1.007 * [simplify]: Simplifying (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)))))) 1.007 * * [simplify]: iters left: 6 (13 enodes) 1.013 * * [simplify]: iters left: 5 (46 enodes) 1.027 * * [simplify]: iters left: 4 (55 enodes) 1.043 * * [simplify]: iters left: 3 (67 enodes) 1.064 * * [simplify]: iters left: 2 (72 enodes) 1.072 * * [simplify]: Extracting #0: cost 1 inf + 0 1.073 * * [simplify]: Extracting #1: cost 0 inf + 1 1.073 * [simplify]: Simplified to 0 1.073 * [simplify]: Simplified (2 2) to (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))))))) 0)) 1.073 * * * * [progress]: [ 3 / 127 ] simplifiying candidate # 1.073 * [simplify]: Simplifying (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)))))) 1.073 * * [simplify]: iters left: 6 (13 enodes) 1.077 * * [simplify]: iters left: 5 (45 enodes) 1.084 * * [simplify]: iters left: 4 (54 enodes) 1.090 * * [simplify]: Extracting #0: cost 1 inf + 0 1.090 * * [simplify]: Extracting #1: cost 5 inf + 0 1.090 * * [simplify]: Extracting #2: cost 9 inf + 1 1.091 * * [simplify]: Extracting #3: cost 14 inf + 1 1.091 * * [simplify]: Extracting #4: cost 15 inf + 2 1.091 * * [simplify]: Extracting #5: cost 17 inf + 2 1.091 * * [simplify]: Extracting #6: cost 15 inf + 60 1.091 * * [simplify]: Extracting #7: cost 11 inf + 451 1.091 * * [simplify]: Extracting #8: cost 4 inf + 1817 1.092 * * [simplify]: Extracting #9: cost 0 inf + 2769 1.092 * [simplify]: Simplified to (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1.092 * [simplify]: Simplified (2 1) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (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))))))) 1.092 * [simplify]: Simplifying (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))))) 1.092 * * [simplify]: iters left: 6 (11 enodes) 1.095 * * [simplify]: iters left: 5 (36 enodes) 1.101 * * [simplify]: iters left: 4 (46 enodes) 1.108 * * [simplify]: iters left: 3 (54 enodes) 1.118 * * [simplify]: iters left: 2 (55 enodes) 1.131 * * [simplify]: Extracting #0: cost 1 inf + 0 1.131 * * [simplify]: Extracting #1: cost 0 inf + 1 1.131 * [simplify]: Simplified to 0 1.131 * [simplify]: Simplified (2 2) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 0)) 1.131 * * * * [progress]: [ 4 / 127 ] simplifiying candidate # 1.132 * [simplify]: Simplifying (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))) 1.132 * * [simplify]: iters left: 6 (13 enodes) 1.140 * * [simplify]: iters left: 5 (49 enodes) 1.158 * * [simplify]: iters left: 4 (58 enodes) 1.169 * * [simplify]: iters left: 3 (66 enodes) 1.177 * * [simplify]: iters left: 2 (70 enodes) 1.185 * * [simplify]: iters left: 1 (71 enodes) 1.192 * * [simplify]: Extracting #0: cost 1 inf + 0 1.192 * * [simplify]: Extracting #1: cost 6 inf + 0 1.192 * * [simplify]: Extracting #2: cost 7 inf + 2 1.192 * * [simplify]: Extracting #3: cost 10 inf + 2 1.192 * * [simplify]: Extracting #4: cost 11 inf + 3 1.192 * * [simplify]: Extracting #5: cost 13 inf + 3 1.193 * * [simplify]: Extracting #6: cost 10 inf + 118 1.193 * * [simplify]: Extracting #7: cost 7 inf + 492 1.193 * * [simplify]: Extracting #8: cost 0 inf + 1818 1.193 * [simplify]: Simplified to (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1.194 * [simplify]: Simplified (2 1) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))))) 1.194 * [simplify]: Simplifying (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))) 1.194 * * [simplify]: iters left: 6 (11 enodes) 1.198 * * [simplify]: iters left: 5 (39 enodes) 1.207 * * [simplify]: iters left: 4 (46 enodes) 1.220 * * [simplify]: iters left: 3 (55 enodes) 1.231 * * [simplify]: iters left: 2 (65 enodes) 1.239 * * [simplify]: iters left: 1 (68 enodes) 1.246 * * [simplify]: Extracting #0: cost 1 inf + 0 1.246 * * [simplify]: Extracting #1: cost 0 inf + 1 1.246 * [simplify]: Simplified to 0 1.246 * [simplify]: Simplified (2 2) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 0)) 1.247 * * * * [progress]: [ 5 / 127 ] simplifiying candidate # 1.247 * [simplify]: Simplifying (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))) 1.247 * * [simplify]: iters left: 6 (13 enodes) 1.253 * * [simplify]: iters left: 5 (49 enodes) 1.262 * * [simplify]: iters left: 4 (58 enodes) 1.274 * * [simplify]: iters left: 3 (66 enodes) 1.287 * * [simplify]: iters left: 2 (70 enodes) 1.301 * * [simplify]: iters left: 1 (71 enodes) 1.313 * * [simplify]: Extracting #0: cost 1 inf + 0 1.313 * * [simplify]: Extracting #1: cost 6 inf + 0 1.313 * * [simplify]: Extracting #2: cost 7 inf + 2 1.314 * * [simplify]: Extracting #3: cost 10 inf + 2 1.314 * * [simplify]: Extracting #4: cost 11 inf + 3 1.314 * * [simplify]: Extracting #5: cost 13 inf + 3 1.314 * * [simplify]: Extracting #6: cost 10 inf + 118 1.314 * * [simplify]: Extracting #7: cost 7 inf + 492 1.315 * * [simplify]: Extracting #8: cost 0 inf + 1818 1.316 * [simplify]: Simplified to (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1.316 * [simplify]: Simplified (2 1) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))))) 1.316 * [simplify]: Simplifying (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))) 1.316 * * [simplify]: iters left: 6 (11 enodes) 1.322 * * [simplify]: iters left: 5 (39 enodes) 1.332 * * [simplify]: iters left: 4 (46 enodes) 1.344 * * [simplify]: iters left: 3 (55 enodes) 1.357 * * [simplify]: iters left: 2 (65 enodes) 1.373 * * [simplify]: iters left: 1 (68 enodes) 1.381 * * [simplify]: Extracting #0: cost 1 inf + 0 1.381 * * [simplify]: Extracting #1: cost 0 inf + 1 1.381 * [simplify]: Simplified to 0 1.381 * [simplify]: Simplified (2 2) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 0)) 1.381 * * * * [progress]: [ 6 / 127 ] simplifiying candidate # 1.381 * [simplify]: Simplifying (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)))))) 1.382 * * [simplify]: iters left: 6 (13 enodes) 1.385 * * [simplify]: iters left: 5 (45 enodes) 1.392 * * [simplify]: iters left: 4 (54 enodes) 1.398 * * [simplify]: Extracting #0: cost 1 inf + 0 1.399 * * [simplify]: Extracting #1: cost 5 inf + 0 1.399 * * [simplify]: Extracting #2: cost 9 inf + 1 1.399 * * [simplify]: Extracting #3: cost 14 inf + 1 1.399 * * [simplify]: Extracting #4: cost 15 inf + 2 1.399 * * [simplify]: Extracting #5: cost 17 inf + 2 1.399 * * [simplify]: Extracting #6: cost 15 inf + 60 1.399 * * [simplify]: Extracting #7: cost 11 inf + 451 1.399 * * [simplify]: Extracting #8: cost 4 inf + 1817 1.400 * * [simplify]: Extracting #9: cost 0 inf + 2769 1.400 * [simplify]: Simplified to (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1.400 * [simplify]: Simplified (2 1) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (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))))))) 1.400 * [simplify]: Simplifying (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))))) 1.400 * * [simplify]: iters left: 6 (11 enodes) 1.403 * * [simplify]: iters left: 5 (36 enodes) 1.408 * * [simplify]: iters left: 4 (46 enodes) 1.415 * * [simplify]: iters left: 3 (54 enodes) 1.430 * * [simplify]: iters left: 2 (55 enodes) 1.443 * * [simplify]: Extracting #0: cost 1 inf + 0 1.443 * * [simplify]: Extracting #1: cost 0 inf + 1 1.443 * [simplify]: Simplified to 0 1.443 * [simplify]: Simplified (2 2) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 0)) 1.443 * * * * [progress]: [ 7 / 127 ] simplifiying candidate # 1.443 * [simplify]: Simplifying (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 1.444 * * [simplify]: iters left: 6 (12 enodes) 1.451 * * [simplify]: iters left: 5 (45 enodes) 1.466 * * [simplify]: iters left: 4 (55 enodes) 1.481 * * [simplify]: iters left: 3 (61 enodes) 1.500 * * [simplify]: iters left: 2 (65 enodes) 1.514 * * [simplify]: Extracting #0: cost 1 inf + 0 1.514 * * [simplify]: Extracting #1: cost 6 inf + 0 1.514 * * [simplify]: Extracting #2: cost 7 inf + 2 1.514 * * [simplify]: Extracting #3: cost 10 inf + 2 1.515 * * [simplify]: Extracting #4: cost 11 inf + 3 1.515 * * [simplify]: Extracting #5: cost 13 inf + 3 1.515 * * [simplify]: Extracting #6: cost 10 inf + 118 1.515 * * [simplify]: Extracting #7: cost 4 inf + 986 1.516 * * [simplify]: Extracting #8: cost 1 inf + 1600 1.517 * * [simplify]: Extracting #9: cost 0 inf + 1818 1.518 * [simplify]: Simplified to (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1.518 * [simplify]: Simplified (2 1) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 1.518 * [simplify]: Simplifying (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) 1.519 * * [simplify]: iters left: 6 (10 enodes) 1.523 * * [simplify]: iters left: 5 (34 enodes) 1.535 * * [simplify]: iters left: 4 (44 enodes) 1.547 * * [simplify]: iters left: 3 (48 enodes) 1.561 * * [simplify]: iters left: 2 (55 enodes) 1.575 * * [simplify]: iters left: 1 (57 enodes) 1.586 * * [simplify]: Extracting #0: cost 1 inf + 0 1.586 * * [simplify]: Extracting #1: cost 0 inf + 1 1.586 * [simplify]: Simplified to 0 1.586 * [simplify]: Simplified (2 2) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 0)) 1.586 * * * * [progress]: [ 8 / 127 ] simplifiying candidate # 1.587 * [simplify]: Simplifying (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))))))) 1.587 * * [simplify]: iters left: 6 (13 enodes) 1.591 * * [simplify]: iters left: 5 (51 enodes) 1.599 * * [simplify]: iters left: 4 (71 enodes) 1.610 * * [simplify]: iters left: 3 (87 enodes) 1.631 * * [simplify]: iters left: 2 (125 enodes) 1.671 * * [simplify]: iters left: 1 (196 enodes) 1.719 * * [simplify]: Extracting #0: cost 1 inf + 0 1.719 * * [simplify]: Extracting #1: cost 5 inf + 0 1.719 * * [simplify]: Extracting #2: cost 33 inf + 1 1.719 * * [simplify]: Extracting #3: cost 75 inf + 3 1.720 * * [simplify]: Extracting #4: cost 76 inf + 7 1.720 * * [simplify]: Extracting #5: cost 78 inf + 8 1.721 * * [simplify]: Extracting #6: cost 73 inf + 303 1.722 * * [simplify]: Extracting #7: cost 62 inf + 2380 1.724 * * [simplify]: Extracting #8: cost 40 inf + 13418 1.729 * * [simplify]: Extracting #9: cost 7 inf + 38633 1.735 * * [simplify]: Extracting #10: cost 0 inf + 44255 1.740 * [simplify]: Simplified to (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1.740 * [simplify]: Simplified (2 1) to (λ (x) (+ (- 1 (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)))))))) 1.741 * [simplify]: Simplifying (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)))))) 1.741 * * [simplify]: iters left: 6 (12 enodes) 1.744 * * [simplify]: iters left: 5 (44 enodes) 1.751 * * [simplify]: iters left: 4 (62 enodes) 1.768 * * [simplify]: iters left: 3 (103 enodes) 1.788 * * [simplify]: iters left: 2 (151 enodes) 1.825 * * [simplify]: iters left: 1 (222 enodes) 1.870 * * [simplify]: Extracting #0: cost 1 inf + 0 1.870 * * [simplify]: Extracting #1: cost 0 inf + 1 1.870 * [simplify]: Simplified to 0 1.870 * [simplify]: Simplified (2 2) to (λ (x) (+ (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 0)) 1.870 * * * * [progress]: [ 9 / 127 ] simplifiying candidate # 1.871 * [simplify]: Simplifying (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))))))) 1.871 * * [simplify]: iters left: 6 (14 enodes) 1.879 * * [simplify]: iters left: 5 (53 enodes) 1.895 * * [simplify]: iters left: 4 (65 enodes) 1.907 * * [simplify]: Extracting #0: cost 1 inf + 0 1.907 * * [simplify]: Extracting #1: cost 5 inf + 0 1.908 * * [simplify]: Extracting #2: cost 10 inf + 1 1.908 * * [simplify]: Extracting #3: cost 16 inf + 1 1.908 * * [simplify]: Extracting #4: cost 19 inf + 1 1.908 * * [simplify]: Extracting #5: cost 22 inf + 1 1.908 * * [simplify]: Extracting #6: cost 23 inf + 2 1.908 * * [simplify]: Extracting #7: cost 25 inf + 2 1.908 * * [simplify]: Extracting #8: cost 20 inf + 313 1.908 * * [simplify]: Extracting #9: cost 12 inf + 2057 1.909 * * [simplify]: Extracting #10: cost 2 inf + 5277 1.910 * * [simplify]: Extracting #11: cost 0 inf + 5953 1.911 * [simplify]: Simplified to (- 1 (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (fabs (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1.911 * [simplify]: Simplified (2 1) to (λ (x) (+ (- 1 (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (fabs (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)))))))) 1.911 * [simplify]: Simplifying (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)))))) 1.911 * * [simplify]: iters left: 6 (13 enodes) 1.914 * * [simplify]: iters left: 5 (46 enodes) 1.921 * * [simplify]: iters left: 4 (55 enodes) 1.929 * * [simplify]: iters left: 3 (67 enodes) 1.941 * * [simplify]: iters left: 2 (72 enodes) 1.958 * * [simplify]: Extracting #0: cost 1 inf + 0 1.958 * * [simplify]: Extracting #1: cost 0 inf + 1 1.958 * [simplify]: Simplified to 0 1.958 * [simplify]: Simplified (2 2) to (λ (x) (+ (- 1 (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (fabs (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 0)) 1.958 * * * * [progress]: [ 10 / 127 ] simplifiying candidate # 1.959 * [simplify]: Simplifying (fma (sqrt 1) (sqrt 1) (- (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 1.959 * * [simplify]: iters left: 6 (12 enodes) 1.966 * * [simplify]: iters left: 5 (42 enodes) 1.978 * * [simplify]: iters left: 4 (51 enodes) 1.991 * * [simplify]: Extracting #0: cost 1 inf + 0 1.991 * * [simplify]: Extracting #1: cost 5 inf + 0 1.991 * * [simplify]: Extracting #2: cost 9 inf + 1 1.991 * * [simplify]: Extracting #3: cost 14 inf + 1 1.991 * * [simplify]: Extracting #4: cost 15 inf + 2 1.991 * * [simplify]: Extracting #5: cost 17 inf + 2 1.991 * * [simplify]: Extracting #6: cost 16 inf + 3 1.991 * * [simplify]: Extracting #7: cost 13 inf + 215 1.992 * * [simplify]: Extracting #8: cost 8 inf + 985 1.992 * * [simplify]: Extracting #9: cost 1 inf + 2511 1.993 * * [simplify]: Extracting #10: cost 0 inf + 2769 1.994 * [simplify]: Simplified to (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1.994 * [simplify]: Simplified (2 1) to (λ (x) (+ (- 1 (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))))))) 1.995 * [simplify]: Simplifying (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))))) 1.995 * * [simplify]: iters left: 6 (11 enodes) 1.998 * * [simplify]: iters left: 5 (36 enodes) 2.003 * * [simplify]: iters left: 4 (46 enodes) 2.011 * * [simplify]: iters left: 3 (54 enodes) 2.020 * * [simplify]: iters left: 2 (55 enodes) 2.029 * * [simplify]: Extracting #0: cost 1 inf + 0 2.029 * * [simplify]: Extracting #1: cost 0 inf + 1 2.029 * [simplify]: Simplified to 0 2.029 * [simplify]: Simplified (2 2) to (λ (x) (+ (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 0)) 2.029 * * * * [progress]: [ 11 / 127 ] simplifiying candidate # 2.030 * [simplify]: Simplifying (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))) 2.030 * * [simplify]: iters left: 6 (11 enodes) 2.036 * * [simplify]: iters left: 5 (43 enodes) 2.050 * * [simplify]: iters left: 4 (52 enodes) 2.064 * * [simplify]: iters left: 3 (60 enodes) 2.079 * * [simplify]: iters left: 2 (64 enodes) 2.093 * * [simplify]: iters left: 1 (65 enodes) 2.107 * * [simplify]: Extracting #0: cost 1 inf + 0 2.107 * * [simplify]: Extracting #1: cost 6 inf + 0 2.107 * * [simplify]: Extracting #2: cost 7 inf + 2 2.108 * * [simplify]: Extracting #3: cost 10 inf + 2 2.108 * * [simplify]: Extracting #4: cost 11 inf + 3 2.108 * * [simplify]: Extracting #5: cost 13 inf + 3 2.108 * * [simplify]: Extracting #6: cost 12 inf + 4 2.108 * * [simplify]: Extracting #7: cost 9 inf + 216 2.109 * * [simplify]: Extracting #8: cost 1 inf + 1600 2.110 * * [simplify]: Extracting #9: cost 0 inf + 1818 2.110 * [simplify]: Simplified to (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 2.111 * [simplify]: Simplified (2 1) to (λ (x) (+ (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))))) 2.111 * [simplify]: Simplifying (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))) 2.111 * * [simplify]: iters left: 6 (11 enodes) 2.118 * * [simplify]: iters left: 5 (39 enodes) 2.130 * * [simplify]: iters left: 4 (46 enodes) 2.144 * * [simplify]: iters left: 3 (55 enodes) 2.162 * * [simplify]: iters left: 2 (65 enodes) 2.178 * * [simplify]: iters left: 1 (68 enodes) 2.185 * * [simplify]: Extracting #0: cost 1 inf + 0 2.185 * * [simplify]: Extracting #1: cost 0 inf + 1 2.185 * [simplify]: Simplified to 0 2.185 * [simplify]: Simplified (2 2) to (λ (x) (+ (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 0)) 2.185 * * * * [progress]: [ 12 / 127 ] simplifiying candidate # 2.186 * [simplify]: Simplifying (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))) 2.186 * * [simplify]: iters left: 6 (11 enodes) 2.189 * * [simplify]: iters left: 5 (43 enodes) 2.198 * * [simplify]: iters left: 4 (52 enodes) 2.205 * * [simplify]: iters left: 3 (60 enodes) 2.213 * * [simplify]: iters left: 2 (64 enodes) 2.221 * * [simplify]: iters left: 1 (65 enodes) 2.235 * * [simplify]: Extracting #0: cost 1 inf + 0 2.235 * * [simplify]: Extracting #1: cost 6 inf + 0 2.235 * * [simplify]: Extracting #2: cost 7 inf + 2 2.235 * * [simplify]: Extracting #3: cost 10 inf + 2 2.235 * * [simplify]: Extracting #4: cost 11 inf + 3 2.235 * * [simplify]: Extracting #5: cost 13 inf + 3 2.235 * * [simplify]: Extracting #6: cost 12 inf + 4 2.236 * * [simplify]: Extracting #7: cost 9 inf + 216 2.236 * * [simplify]: Extracting #8: cost 1 inf + 1600 2.237 * * [simplify]: Extracting #9: cost 0 inf + 1818 2.238 * [simplify]: Simplified to (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 2.238 * [simplify]: Simplified (2 1) to (λ (x) (+ (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))))) 2.238 * [simplify]: Simplifying (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))) 2.239 * * [simplify]: iters left: 6 (11 enodes) 2.246 * * [simplify]: iters left: 5 (39 enodes) 2.258 * * [simplify]: iters left: 4 (46 enodes) 2.275 * * [simplify]: iters left: 3 (55 enodes) 2.291 * * [simplify]: iters left: 2 (65 enodes) 2.306 * * [simplify]: iters left: 1 (68 enodes) 2.318 * * [simplify]: Extracting #0: cost 1 inf + 0 2.318 * * [simplify]: Extracting #1: cost 0 inf + 1 2.318 * [simplify]: Simplified to 0 2.318 * [simplify]: Simplified (2 2) to (λ (x) (+ (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 0)) 2.318 * * * * [progress]: [ 13 / 127 ] simplifiying candidate # 2.319 * [simplify]: Simplifying (fma (sqrt 1) (sqrt 1) (- (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 2.319 * * [simplify]: iters left: 6 (12 enodes) 2.326 * * [simplify]: iters left: 5 (42 enodes) 2.340 * * [simplify]: iters left: 4 (51 enodes) 2.353 * * [simplify]: Extracting #0: cost 1 inf + 0 2.353 * * [simplify]: Extracting #1: cost 5 inf + 0 2.353 * * [simplify]: Extracting #2: cost 9 inf + 1 2.353 * * [simplify]: Extracting #3: cost 14 inf + 1 2.353 * * [simplify]: Extracting #4: cost 15 inf + 2 2.353 * * [simplify]: Extracting #5: cost 17 inf + 2 2.353 * * [simplify]: Extracting #6: cost 16 inf + 3 2.353 * * [simplify]: Extracting #7: cost 13 inf + 215 2.354 * * [simplify]: Extracting #8: cost 8 inf + 985 2.355 * * [simplify]: Extracting #9: cost 1 inf + 2511 2.356 * * [simplify]: Extracting #10: cost 0 inf + 2769 2.357 * [simplify]: Simplified to (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 2.357 * [simplify]: Simplified (2 1) to (λ (x) (+ (- 1 (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))))))) 2.357 * [simplify]: Simplifying (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))))) 2.357 * * [simplify]: iters left: 6 (11 enodes) 2.363 * * [simplify]: iters left: 5 (36 enodes) 2.374 * * [simplify]: iters left: 4 (46 enodes) 2.388 * * [simplify]: iters left: 3 (54 enodes) 2.403 * * [simplify]: iters left: 2 (55 enodes) 2.416 * * [simplify]: Extracting #0: cost 1 inf + 0 2.416 * * [simplify]: Extracting #1: cost 0 inf + 1 2.416 * [simplify]: Simplified to 0 2.416 * [simplify]: Simplified (2 2) to (λ (x) (+ (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 0)) 2.416 * * * * [progress]: [ 14 / 127 ] simplifiying candidate # 2.417 * [simplify]: Simplifying (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 2.417 * * [simplify]: iters left: 6 (11 enodes) 2.424 * * [simplify]: iters left: 5 (42 enodes) 2.439 * * [simplify]: iters left: 4 (53 enodes) 2.446 * * [simplify]: iters left: 3 (59 enodes) 2.453 * * [simplify]: iters left: 2 (63 enodes) 2.460 * * [simplify]: Extracting #0: cost 1 inf + 0 2.460 * * [simplify]: Extracting #1: cost 6 inf + 0 2.460 * * [simplify]: Extracting #2: cost 7 inf + 2 2.460 * * [simplify]: Extracting #3: cost 10 inf + 2 2.460 * * [simplify]: Extracting #4: cost 11 inf + 3 2.461 * * [simplify]: Extracting #5: cost 13 inf + 3 2.461 * * [simplify]: Extracting #6: cost 12 inf + 4 2.461 * * [simplify]: Extracting #7: cost 9 inf + 216 2.461 * * [simplify]: Extracting #8: cost 1 inf + 1600 2.461 * * [simplify]: Extracting #9: cost 0 inf + 1818 2.462 * [simplify]: Simplified to (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 2.462 * [simplify]: Simplified (2 1) to (λ (x) (+ (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 2.462 * [simplify]: Simplifying (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) 2.462 * * [simplify]: iters left: 6 (10 enodes) 2.465 * * [simplify]: iters left: 5 (34 enodes) 2.473 * * [simplify]: iters left: 4 (44 enodes) 2.486 * * [simplify]: iters left: 3 (48 enodes) 2.501 * * [simplify]: iters left: 2 (55 enodes) 2.516 * * [simplify]: iters left: 1 (57 enodes) 2.527 * * [simplify]: Extracting #0: cost 1 inf + 0 2.527 * * [simplify]: Extracting #1: cost 0 inf + 1 2.527 * [simplify]: Simplified to 0 2.528 * [simplify]: Simplified (2 2) to (λ (x) (+ (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 0)) 2.528 * * * * [progress]: [ 15 / 127 ] simplifiying candidate # 2.528 * [simplify]: Simplifying (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))))))) 2.528 * * [simplify]: iters left: 6 (12 enodes) 2.535 * * [simplify]: iters left: 5 (48 enodes) 2.550 * * [simplify]: iters left: 4 (65 enodes) 2.573 * * [simplify]: iters left: 3 (81 enodes) 2.601 * * [simplify]: iters left: 2 (119 enodes) 2.628 * * [simplify]: iters left: 1 (195 enodes) 2.686 * * [simplify]: Extracting #0: cost 1 inf + 0 2.686 * * [simplify]: Extracting #1: cost 4 inf + 0 2.686 * * [simplify]: Extracting #2: cost 29 inf + 1 2.686 * * [simplify]: Extracting #3: cost 75 inf + 1 2.686 * * [simplify]: Extracting #4: cost 76 inf + 6 2.686 * * [simplify]: Extracting #5: cost 77 inf + 8 2.687 * * [simplify]: Extracting #6: cost 78 inf + 9 2.687 * * [simplify]: Extracting #7: cost 71 inf + 676 2.688 * * [simplify]: Extracting #8: cost 57 inf + 5525 2.691 * * [simplify]: Extracting #9: cost 25 inf + 25429 2.696 * * [simplify]: Extracting #10: cost 3 inf + 42593 2.701 * * [simplify]: Extracting #11: cost 0 inf + 45306 2.707 * [simplify]: Simplified to (+ 1 (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 2.707 * [simplify]: Simplified (2 1) to (λ (x) (+ (+ 1 (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (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)))))))) 2.707 * [simplify]: Simplifying (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)))))) 2.707 * * [simplify]: iters left: 6 (12 enodes) 2.711 * * [simplify]: iters left: 5 (44 enodes) 2.725 * * [simplify]: iters left: 4 (62 enodes) 2.736 * * [simplify]: iters left: 3 (103 enodes) 2.759 * * [simplify]: iters left: 2 (151 enodes) 2.793 * * [simplify]: iters left: 1 (222 enodes) 2.845 * * [simplify]: Extracting #0: cost 1 inf + 0 2.845 * * [simplify]: Extracting #1: cost 0 inf + 1 2.845 * [simplify]: Simplified to 0 2.845 * [simplify]: Simplified (2 2) to (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))))))) 0)) 2.845 * * * * [progress]: [ 16 / 127 ] simplifiying candidate # 2.846 * [simplify]: Simplifying (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))))))) 2.846 * * [simplify]: iters left: 6 (13 enodes) 2.849 * * [simplify]: iters left: 5 (50 enodes) 2.859 * * [simplify]: iters left: 4 (58 enodes) 2.866 * * [simplify]: Extracting #0: cost 1 inf + 0 2.866 * * [simplify]: Extracting #1: cost 4 inf + 0 2.866 * * [simplify]: Extracting #2: cost 9 inf + 1 2.866 * * [simplify]: Extracting #3: cost 16 inf + 1 2.866 * * [simplify]: Extracting #4: cost 19 inf + 1 2.866 * * [simplify]: Extracting #5: cost 22 inf + 1 2.867 * * [simplify]: Extracting #6: cost 23 inf + 2 2.867 * * [simplify]: Extracting #7: cost 25 inf + 2 2.867 * * [simplify]: Extracting #8: cost 20 inf + 394 2.867 * * [simplify]: Extracting #9: cost 12 inf + 2057 2.868 * * [simplify]: Extracting #10: cost 2 inf + 5357 2.870 * * [simplify]: Extracting #11: cost 0 inf + 6033 2.872 * [simplify]: Simplified to (+ 1 (* (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 2.872 * [simplify]: Simplified (2 1) to (λ (x) (+ (+ 1 (* (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (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)))))))) 2.872 * [simplify]: Simplifying (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)))))) 2.873 * * [simplify]: iters left: 6 (13 enodes) 2.879 * * [simplify]: iters left: 5 (46 enodes) 2.892 * * [simplify]: iters left: 4 (55 enodes) 2.909 * * [simplify]: iters left: 3 (67 enodes) 2.929 * * [simplify]: iters left: 2 (72 enodes) 2.946 * * [simplify]: Extracting #0: cost 1 inf + 0 2.946 * * [simplify]: Extracting #1: cost 0 inf + 1 2.946 * [simplify]: Simplified to 0 2.946 * [simplify]: Simplified (2 2) to (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))))))) 0)) 2.946 * * * * [progress]: [ 17 / 127 ] simplifiying candidate # 2.947 * [simplify]: Simplifying (fma 1 1 (- (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 2.947 * * [simplify]: iters left: 6 (11 enodes) 2.953 * * [simplify]: iters left: 5 (39 enodes) 2.964 * * [simplify]: iters left: 4 (44 enodes) 2.971 * * [simplify]: Extracting #0: cost 1 inf + 0 2.972 * * [simplify]: Extracting #1: cost 4 inf + 0 2.972 * * [simplify]: Extracting #2: cost 7 inf + 1 2.972 * * [simplify]: Extracting #3: cost 11 inf + 1 2.972 * * [simplify]: Extracting #4: cost 14 inf + 1 2.972 * * [simplify]: Extracting #5: cost 15 inf + 2 2.972 * * [simplify]: Extracting #6: cost 17 inf + 2 2.972 * * [simplify]: Extracting #7: cost 14 inf + 117 2.972 * * [simplify]: Extracting #8: cost 10 inf + 589 2.972 * * [simplify]: Extracting #9: cost 4 inf + 1857 2.973 * * [simplify]: Extracting #10: cost 1 inf + 2591 2.973 * * [simplify]: Extracting #11: cost 0 inf + 2849 2.974 * [simplify]: Simplified to (+ 1 (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 2.974 * [simplify]: Simplified (2 1) to (λ (x) (+ (+ 1 (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (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))))))) 2.974 * [simplify]: Simplifying (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))))) 2.974 * * [simplify]: iters left: 6 (11 enodes) 2.977 * * [simplify]: iters left: 5 (36 enodes) 2.984 * * [simplify]: iters left: 4 (46 enodes) 2.991 * * [simplify]: iters left: 3 (54 enodes) 3.002 * * [simplify]: iters left: 2 (55 enodes) 3.016 * * [simplify]: Extracting #0: cost 1 inf + 0 3.016 * * [simplify]: Extracting #1: cost 0 inf + 1 3.016 * [simplify]: Simplified to 0 3.016 * [simplify]: Simplified (2 2) to (λ (x) (+ (fma 1 1 (- (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 0)) 3.016 * * * * [progress]: [ 18 / 127 ] simplifiying candidate # 3.017 * [simplify]: Simplifying (fma 1 1 (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))) 3.017 * * [simplify]: iters left: 6 (11 enodes) 3.024 * * [simplify]: iters left: 5 (44 enodes) 3.030 * * [simplify]: iters left: 4 (48 enodes) 3.037 * * [simplify]: iters left: 3 (55 enodes) 3.044 * * [simplify]: iters left: 2 (60 enodes) 3.051 * * [simplify]: iters left: 1 (61 enodes) 3.058 * * [simplify]: Extracting #0: cost 1 inf + 0 3.058 * * [simplify]: Extracting #1: cost 6 inf + 0 3.058 * * [simplify]: Extracting #2: cost 7 inf + 2 3.058 * * [simplify]: Extracting #3: cost 10 inf + 2 3.058 * * [simplify]: Extracting #4: cost 11 inf + 3 3.058 * * [simplify]: Extracting #5: cost 13 inf + 3 3.059 * * [simplify]: Extracting #6: cost 11 inf + 61 3.059 * * [simplify]: Extracting #7: cost 7 inf + 452 3.059 * * [simplify]: Extracting #8: cost 1 inf + 1600 3.059 * * [simplify]: Extracting #9: cost 0 inf + 1818 3.060 * [simplify]: Simplified to (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 3.060 * [simplify]: Simplified (2 1) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))))) 3.060 * [simplify]: Simplifying (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))) 3.060 * * [simplify]: iters left: 6 (11 enodes) 3.064 * * [simplify]: iters left: 5 (39 enodes) 3.070 * * [simplify]: iters left: 4 (46 enodes) 3.080 * * [simplify]: iters left: 3 (55 enodes) 3.090 * * [simplify]: iters left: 2 (65 enodes) 3.105 * * [simplify]: iters left: 1 (68 enodes) 3.114 * * [simplify]: Extracting #0: cost 1 inf + 0 3.114 * * [simplify]: Extracting #1: cost 0 inf + 1 3.114 * [simplify]: Simplified to 0 3.114 * [simplify]: Simplified (2 2) to (λ (x) (+ (fma 1 1 (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))) 0)) 3.115 * * * * [progress]: [ 19 / 127 ] simplifiying candidate # 3.115 * [simplify]: Simplifying (fma 1 1 (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))) 3.115 * * [simplify]: iters left: 6 (11 enodes) 3.119 * * [simplify]: iters left: 5 (44 enodes) 3.125 * * [simplify]: iters left: 4 (48 enodes) 3.132 * * [simplify]: iters left: 3 (55 enodes) 3.139 * * [simplify]: iters left: 2 (60 enodes) 3.149 * * [simplify]: iters left: 1 (61 enodes) 3.161 * * [simplify]: Extracting #0: cost 1 inf + 0 3.162 * * [simplify]: Extracting #1: cost 6 inf + 0 3.162 * * [simplify]: Extracting #2: cost 7 inf + 2 3.162 * * [simplify]: Extracting #3: cost 10 inf + 2 3.162 * * [simplify]: Extracting #4: cost 11 inf + 3 3.162 * * [simplify]: Extracting #5: cost 13 inf + 3 3.162 * * [simplify]: Extracting #6: cost 11 inf + 61 3.162 * * [simplify]: Extracting #7: cost 7 inf + 452 3.162 * * [simplify]: Extracting #8: cost 1 inf + 1600 3.163 * * [simplify]: Extracting #9: cost 0 inf + 1818 3.163 * [simplify]: Simplified to (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 3.163 * [simplify]: Simplified (2 1) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))))) 3.163 * [simplify]: Simplifying (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))) 3.164 * * [simplify]: iters left: 6 (11 enodes) 3.167 * * [simplify]: iters left: 5 (39 enodes) 3.175 * * [simplify]: iters left: 4 (46 enodes) 3.183 * * [simplify]: iters left: 3 (55 enodes) 3.192 * * [simplify]: iters left: 2 (65 enodes) 3.207 * * [simplify]: iters left: 1 (68 enodes) 3.219 * * [simplify]: Extracting #0: cost 1 inf + 0 3.219 * * [simplify]: Extracting #1: cost 0 inf + 1 3.219 * [simplify]: Simplified to 0 3.219 * [simplify]: Simplified (2 2) to (λ (x) (+ (fma 1 1 (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))) 0)) 3.219 * * * * [progress]: [ 20 / 127 ] simplifiying candidate # 3.220 * [simplify]: Simplifying (fma 1 1 (- (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 3.220 * * [simplify]: iters left: 6 (11 enodes) 3.226 * * [simplify]: iters left: 5 (39 enodes) 3.235 * * [simplify]: iters left: 4 (44 enodes) 3.241 * * [simplify]: Extracting #0: cost 1 inf + 0 3.241 * * [simplify]: Extracting #1: cost 4 inf + 0 3.241 * * [simplify]: Extracting #2: cost 7 inf + 1 3.241 * * [simplify]: Extracting #3: cost 11 inf + 1 3.241 * * [simplify]: Extracting #4: cost 14 inf + 1 3.242 * * [simplify]: Extracting #5: cost 15 inf + 2 3.242 * * [simplify]: Extracting #6: cost 17 inf + 2 3.242 * * [simplify]: Extracting #7: cost 14 inf + 117 3.242 * * [simplify]: Extracting #8: cost 10 inf + 589 3.242 * * [simplify]: Extracting #9: cost 4 inf + 1857 3.243 * * [simplify]: Extracting #10: cost 1 inf + 2591 3.243 * * [simplify]: Extracting #11: cost 0 inf + 2849 3.243 * [simplify]: Simplified to (+ 1 (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 3.244 * [simplify]: Simplified (2 1) to (λ (x) (+ (+ 1 (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (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))))))) 3.244 * [simplify]: Simplifying (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))))) 3.244 * * [simplify]: iters left: 6 (11 enodes) 3.247 * * [simplify]: iters left: 5 (36 enodes) 3.252 * * [simplify]: iters left: 4 (46 enodes) 3.259 * * [simplify]: iters left: 3 (54 enodes) 3.273 * * [simplify]: iters left: 2 (55 enodes) 3.283 * * [simplify]: Extracting #0: cost 1 inf + 0 3.283 * * [simplify]: Extracting #1: cost 0 inf + 1 3.283 * [simplify]: Simplified to 0 3.283 * [simplify]: Simplified (2 2) to (λ (x) (+ (fma 1 1 (- (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 0)) 3.284 * * * * [progress]: [ 21 / 127 ] simplifiying candidate # 3.284 * [simplify]: Simplifying (fma 1 1 (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 3.284 * * [simplify]: iters left: 6 (10 enodes) 3.288 * * [simplify]: iters left: 5 (39 enodes) 3.294 * * [simplify]: iters left: 4 (45 enodes) 3.301 * * [simplify]: iters left: 3 (51 enodes) 3.308 * * [simplify]: iters left: 2 (56 enodes) 3.319 * * [simplify]: Extracting #0: cost 1 inf + 0 3.319 * * [simplify]: Extracting #1: cost 6 inf + 0 3.319 * * [simplify]: Extracting #2: cost 7 inf + 2 3.319 * * [simplify]: Extracting #3: cost 10 inf + 2 3.319 * * [simplify]: Extracting #4: cost 11 inf + 3 3.319 * * [simplify]: Extracting #5: cost 13 inf + 3 3.319 * * [simplify]: Extracting #6: cost 10 inf + 118 3.320 * * [simplify]: Extracting #7: cost 3 inf + 1164 3.321 * * [simplify]: Extracting #8: cost 0 inf + 1818 3.322 * [simplify]: Simplified to (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 3.322 * [simplify]: Simplified (2 1) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 3.322 * [simplify]: Simplifying (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) 3.322 * * [simplify]: iters left: 6 (10 enodes) 3.325 * * [simplify]: iters left: 5 (34 enodes) 3.331 * * [simplify]: iters left: 4 (44 enodes) 3.338 * * [simplify]: iters left: 3 (48 enodes) 3.345 * * [simplify]: iters left: 2 (55 enodes) 3.353 * * [simplify]: iters left: 1 (57 enodes) 3.364 * * [simplify]: Extracting #0: cost 1 inf + 0 3.365 * * [simplify]: Extracting #1: cost 0 inf + 1 3.365 * [simplify]: Simplified to 0 3.365 * [simplify]: Simplified (2 2) to (λ (x) (+ (fma 1 1 (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0)) 3.365 * * * * [progress]: [ 22 / 127 ] simplifiying candidate # 3.365 * * * * [progress]: [ 23 / 127 ] simplifiying candidate # 3.365 * * * * [progress]: [ 24 / 127 ] simplifiying candidate # 3.365 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 3.365 * * [simplify]: iters left: 3 (3 enodes) 3.371 * * [simplify]: iters left: 2 (11 enodes) 3.374 * * [simplify]: iters left: 1 (13 enodes) 3.377 * * [simplify]: Extracting #0: cost 1 inf + 0 3.377 * * [simplify]: Extracting #1: cost 0 inf + 1 3.377 * [simplify]: Simplified to 1 3.377 * [simplify]: Simplified (2 1) to (λ (x) (fma 1 (cbrt 1) (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 3.377 * * * * [progress]: [ 25 / 127 ] simplifiying candidate # 3.378 * [simplify]: Simplifying (sqrt 1) 3.378 * * [simplify]: iters left: 1 (2 enodes) 3.383 * * [simplify]: Extracting #0: cost 1 inf + 0 3.383 * * [simplify]: Extracting #1: cost 0 inf + 1 3.383 * [simplify]: Simplified to 1 3.383 * [simplify]: Simplified (2 1) to (λ (x) (fma 1 (sqrt 1) (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 3.383 * * * * [progress]: [ 26 / 127 ] simplifiying candidate # 3.383 * * * * [progress]: [ 27 / 127 ] simplifiying candidate # 3.383 * [simplify]: Simplifying (/ (exp 1) (exp (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 3.384 * * [simplify]: iters left: 6 (10 enodes) 3.389 * * [simplify]: iters left: 5 (34 enodes) 3.399 * * [simplify]: iters left: 4 (40 enodes) 3.411 * * [simplify]: iters left: 3 (45 enodes) 3.424 * * [simplify]: iters left: 2 (49 enodes) 3.437 * * [simplify]: iters left: 1 (53 enodes) 3.452 * * [simplify]: Extracting #0: cost 1 inf + 0 3.452 * * [simplify]: Extracting #1: cost 6 inf + 0 3.452 * * [simplify]: Extracting #2: cost 11 inf + 1 3.453 * * [simplify]: Extracting #3: cost 13 inf + 2 3.453 * * [simplify]: Extracting #4: cost 16 inf + 2 3.453 * * [simplify]: Extracting #5: cost 17 inf + 3 3.453 * * [simplify]: Extracting #6: cost 19 inf + 3 3.453 * * [simplify]: Extracting #7: cost 18 inf + 4 3.453 * * [simplify]: Extracting #8: cost 16 inf + 159 3.453 * * [simplify]: Extracting #9: cost 11 inf + 768 3.454 * * [simplify]: Extracting #10: cost 3 inf + 2712 3.455 * * [simplify]: Extracting #11: cost 0 inf + 3466 3.457 * [simplify]: Simplified to (exp (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 3.457 * [simplify]: Simplified (2 1) to (λ (x) (log (exp (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 3.457 * * * * [progress]: [ 28 / 127 ] simplifiying candidate # 3.457 * * * * [progress]: [ 29 / 127 ] simplifiying candidate # 3.457 * * * * [progress]: [ 30 / 127 ] simplifiying candidate # 3.457 * * * * [progress]: [ 31 / 127 ] simplifiying candidate # 3.457 * * * * [progress]: [ 32 / 127 ] simplifiying candidate # 3.457 * * * * [progress]: [ 33 / 127 ] simplifiying candidate # 3.457 * * * * [progress]: [ 34 / 127 ] simplifiying candidate # 3.457 * * * * [progress]: [ 35 / 127 ] simplifiying candidate # 3.457 * * * * [progress]: [ 36 / 127 ] simplifiying candidate # 3.457 * * * * [progress]: [ 37 / 127 ] simplifiying candidate # 3.457 * * * * [progress]: [ 38 / 127 ] simplifiying candidate # 3.458 * [simplify]: Simplifying (+ (sqrt 1) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 3.458 * * [simplify]: iters left: 6 (10 enodes) 3.463 * * [simplify]: iters left: 5 (34 enodes) 3.473 * * [simplify]: iters left: 4 (36 enodes) 3.484 * * [simplify]: Extracting #0: cost 1 inf + 0 3.484 * * [simplify]: Extracting #1: cost 4 inf + 0 3.484 * * [simplify]: Extracting #2: cost 5 inf + 1 3.484 * * [simplify]: Extracting #3: cost 7 inf + 1 3.484 * * [simplify]: Extracting #4: cost 10 inf + 1 3.484 * * [simplify]: Extracting #5: cost 11 inf + 2 3.484 * * [simplify]: Extracting #6: cost 13 inf + 2 3.484 * * [simplify]: Extracting #7: cost 12 inf + 3 3.484 * * [simplify]: Extracting #8: cost 9 inf + 215 3.485 * * [simplify]: Extracting #9: cost 4 inf + 945 3.485 * * [simplify]: Extracting #10: cost 0 inf + 1897 3.486 * [simplify]: Simplified to (+ 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 3.486 * [simplify]: Simplified (2 1) to (λ (x) (* (+ 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (sqrt 1) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 3.486 * [simplify]: Simplifying (- (sqrt 1) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 3.486 * * [simplify]: iters left: 6 (10 enodes) 3.492 * * [simplify]: iters left: 5 (35 enodes) 3.503 * * [simplify]: iters left: 4 (41 enodes) 3.514 * * [simplify]: Extracting #0: cost 1 inf + 0 3.514 * * [simplify]: Extracting #1: cost 5 inf + 0 3.514 * * [simplify]: Extracting #2: cost 7 inf + 1 3.514 * * [simplify]: Extracting #3: cost 9 inf + 1 3.514 * * [simplify]: Extracting #4: cost 12 inf + 1 3.514 * * [simplify]: Extracting #5: cost 13 inf + 2 3.514 * * [simplify]: Extracting #6: cost 15 inf + 2 3.514 * * [simplify]: Extracting #7: cost 14 inf + 3 3.514 * * [simplify]: Extracting #8: cost 10 inf + 313 3.515 * * [simplify]: Extracting #9: cost 7 inf + 767 3.515 * * [simplify]: Extracting #10: cost 0 inf + 2413 3.516 * [simplify]: Simplified to (- 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 3.516 * [simplify]: Simplified (2 2) to (λ (x) (* (+ (sqrt 1) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 3.516 * * * * [progress]: [ 39 / 127 ] simplifiying candidate # 3.517 * [simplify]: Simplifying (+ (sqrt 1) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 3.517 * * [simplify]: iters left: 6 (10 enodes) 3.522 * * [simplify]: iters left: 5 (34 enodes) 3.532 * * [simplify]: iters left: 4 (36 enodes) 3.542 * * [simplify]: Extracting #0: cost 1 inf + 0 3.542 * * [simplify]: Extracting #1: cost 4 inf + 0 3.542 * * [simplify]: Extracting #2: cost 5 inf + 1 3.542 * * [simplify]: Extracting #3: cost 7 inf + 1 3.542 * * [simplify]: Extracting #4: cost 10 inf + 1 3.542 * * [simplify]: Extracting #5: cost 11 inf + 2 3.542 * * [simplify]: Extracting #6: cost 13 inf + 2 3.542 * * [simplify]: Extracting #7: cost 12 inf + 3 3.543 * * [simplify]: Extracting #8: cost 9 inf + 215 3.543 * * [simplify]: Extracting #9: cost 4 inf + 945 3.543 * * [simplify]: Extracting #10: cost 0 inf + 1897 3.543 * [simplify]: Simplified to (+ 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 3.543 * [simplify]: Simplified (2 1) to (λ (x) (* (+ 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (sqrt 1) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 3.544 * [simplify]: Simplifying (- (sqrt 1) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 3.544 * * [simplify]: iters left: 6 (10 enodes) 3.547 * * [simplify]: iters left: 5 (35 enodes) 3.552 * * [simplify]: iters left: 4 (41 enodes) 3.558 * * [simplify]: Extracting #0: cost 1 inf + 0 3.558 * * [simplify]: Extracting #1: cost 5 inf + 0 3.558 * * [simplify]: Extracting #2: cost 7 inf + 1 3.558 * * [simplify]: Extracting #3: cost 9 inf + 1 3.558 * * [simplify]: Extracting #4: cost 12 inf + 1 3.558 * * [simplify]: Extracting #5: cost 13 inf + 2 3.558 * * [simplify]: Extracting #6: cost 15 inf + 2 3.558 * * [simplify]: Extracting #7: cost 14 inf + 3 3.558 * * [simplify]: Extracting #8: cost 10 inf + 313 3.558 * * [simplify]: Extracting #9: cost 7 inf + 767 3.559 * * [simplify]: Extracting #10: cost 0 inf + 2413 3.559 * [simplify]: Simplified to (- 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 3.559 * [simplify]: Simplified (2 2) to (λ (x) (* (+ (sqrt 1) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 3.559 * * * * [progress]: [ 40 / 127 ] simplifiying candidate # 3.559 * [simplify]: Simplifying (+ 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 3.560 * * [simplify]: iters left: 6 (9 enodes) 3.562 * * [simplify]: iters left: 5 (31 enodes) 3.566 * * [simplify]: iters left: 4 (33 enodes) 3.575 * * [simplify]: Extracting #0: cost 1 inf + 0 3.575 * * [simplify]: Extracting #1: cost 4 inf + 0 3.575 * * [simplify]: Extracting #2: cost 5 inf + 1 3.575 * * [simplify]: Extracting #3: cost 7 inf + 1 3.576 * * [simplify]: Extracting #4: cost 10 inf + 1 3.576 * * [simplify]: Extracting #5: cost 11 inf + 2 3.576 * * [simplify]: Extracting #6: cost 13 inf + 2 3.576 * * [simplify]: Extracting #7: cost 10 inf + 117 3.576 * * [simplify]: Extracting #8: cost 8 inf + 353 3.576 * * [simplify]: Extracting #9: cost 4 inf + 985 3.577 * * [simplify]: Extracting #10: cost 0 inf + 1897 3.578 * [simplify]: Simplified to (+ 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 3.578 * [simplify]: Simplified (2 1) to (λ (x) (* (+ 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 3.578 * [simplify]: Simplifying (- 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 3.578 * * [simplify]: iters left: 6 (9 enodes) 3.581 * * [simplify]: iters left: 5 (32 enodes) 3.586 * * [simplify]: iters left: 4 (37 enodes) 3.591 * * [simplify]: Extracting #0: cost 1 inf + 0 3.591 * * [simplify]: Extracting #1: cost 5 inf + 0 3.591 * * [simplify]: Extracting #2: cost 7 inf + 1 3.591 * * [simplify]: Extracting #3: cost 9 inf + 1 3.591 * * [simplify]: Extracting #4: cost 12 inf + 1 3.591 * * [simplify]: Extracting #5: cost 13 inf + 2 3.591 * * [simplify]: Extracting #6: cost 15 inf + 2 3.591 * * [simplify]: Extracting #7: cost 13 inf + 60 3.591 * * [simplify]: Extracting #8: cost 10 inf + 353 3.592 * * [simplify]: Extracting #9: cost 3 inf + 1679 3.592 * * [simplify]: Extracting #10: cost 0 inf + 2413 3.593 * [simplify]: Simplified to (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 3.593 * [simplify]: Simplified (2 2) to (λ (x) (* (+ 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 3.593 * * * * [progress]: [ 41 / 127 ] simplifiying candidate # 3.593 * [simplify]: Simplifying (+ 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 3.593 * * [simplify]: iters left: 6 (9 enodes) 3.595 * * [simplify]: iters left: 5 (31 enodes) 3.600 * * [simplify]: iters left: 4 (33 enodes) 3.604 * * [simplify]: Extracting #0: cost 1 inf + 0 3.604 * * [simplify]: Extracting #1: cost 4 inf + 0 3.605 * * [simplify]: Extracting #2: cost 5 inf + 1 3.605 * * [simplify]: Extracting #3: cost 7 inf + 1 3.605 * * [simplify]: Extracting #4: cost 10 inf + 1 3.605 * * [simplify]: Extracting #5: cost 11 inf + 2 3.605 * * [simplify]: Extracting #6: cost 13 inf + 2 3.605 * * [simplify]: Extracting #7: cost 10 inf + 117 3.605 * * [simplify]: Extracting #8: cost 8 inf + 353 3.605 * * [simplify]: Extracting #9: cost 4 inf + 985 3.605 * * [simplify]: Extracting #10: cost 0 inf + 1897 3.606 * [simplify]: Simplified to (+ 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 3.606 * [simplify]: Simplified (2 1) to (λ (x) (* (+ 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 3.606 * [simplify]: Simplifying (- 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 3.606 * * [simplify]: iters left: 6 (9 enodes) 3.608 * * [simplify]: iters left: 5 (32 enodes) 3.614 * * [simplify]: iters left: 4 (37 enodes) 3.625 * * [simplify]: Extracting #0: cost 1 inf + 0 3.625 * * [simplify]: Extracting #1: cost 5 inf + 0 3.625 * * [simplify]: Extracting #2: cost 7 inf + 1 3.625 * * [simplify]: Extracting #3: cost 9 inf + 1 3.625 * * [simplify]: Extracting #4: cost 12 inf + 1 3.626 * * [simplify]: Extracting #5: cost 13 inf + 2 3.626 * * [simplify]: Extracting #6: cost 15 inf + 2 3.626 * * [simplify]: Extracting #7: cost 13 inf + 60 3.626 * * [simplify]: Extracting #8: cost 10 inf + 353 3.626 * * [simplify]: Extracting #9: cost 3 inf + 1679 3.627 * * [simplify]: Extracting #10: cost 0 inf + 2413 3.628 * [simplify]: Simplified to (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 3.628 * [simplify]: Simplified (2 2) to (λ (x) (* (+ 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 3.628 * * * * [progress]: [ 42 / 127 ] simplifiying candidate # 3.629 * [simplify]: Simplifying (sqrt 1) 3.629 * * [simplify]: iters left: 1 (2 enodes) 3.632 * * [simplify]: Extracting #0: cost 1 inf + 0 3.632 * * [simplify]: Extracting #1: cost 0 inf + 1 3.632 * [simplify]: Simplified to 1 3.632 * [simplify]: Simplified (2 1) to (λ (x) (* 1 (- (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 3.633 * [simplify]: Simplifying (- (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 3.633 * * [simplify]: iters left: 6 (9 enodes) 3.641 * * [simplify]: iters left: 5 (32 enodes) 3.650 * * [simplify]: iters left: 4 (38 enodes) 3.661 * * [simplify]: Extracting #0: cost 1 inf + 0 3.661 * * [simplify]: Extracting #1: cost 5 inf + 0 3.661 * * [simplify]: Extracting #2: cost 7 inf + 1 3.661 * * [simplify]: Extracting #3: cost 10 inf + 1 3.661 * * [simplify]: Extracting #4: cost 11 inf + 2 3.661 * * [simplify]: Extracting #5: cost 13 inf + 2 3.661 * * [simplify]: Extracting #6: cost 12 inf + 3 3.661 * * [simplify]: Extracting #7: cost 9 inf + 256 3.662 * * [simplify]: Extracting #8: cost 4 inf + 985 3.662 * * [simplify]: Extracting #9: cost 0 inf + 1817 3.663 * [simplify]: Simplified to (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 3.663 * [simplify]: Simplified (2 2) to (λ (x) (* (sqrt 1) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 3.663 * * * * [progress]: [ 43 / 127 ] simplifiying candidate # 3.664 * [simplify]: Simplifying (sqrt 1) 3.664 * * [simplify]: iters left: 1 (2 enodes) 3.667 * * [simplify]: Extracting #0: cost 1 inf + 0 3.667 * * [simplify]: Extracting #1: cost 0 inf + 1 3.667 * [simplify]: Simplified to 1 3.667 * [simplify]: Simplified (2 1) to (λ (x) (* 1 (- (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 3.668 * [simplify]: Simplifying (- (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 3.668 * * [simplify]: iters left: 6 (9 enodes) 3.674 * * [simplify]: iters left: 5 (32 enodes) 3.683 * * [simplify]: iters left: 4 (38 enodes) 3.694 * * [simplify]: Extracting #0: cost 1 inf + 0 3.694 * * [simplify]: Extracting #1: cost 5 inf + 0 3.694 * * [simplify]: Extracting #2: cost 7 inf + 1 3.694 * * [simplify]: Extracting #3: cost 10 inf + 1 3.694 * * [simplify]: Extracting #4: cost 11 inf + 2 3.694 * * [simplify]: Extracting #5: cost 13 inf + 2 3.694 * * [simplify]: Extracting #6: cost 12 inf + 3 3.694 * * [simplify]: Extracting #7: cost 9 inf + 256 3.695 * * [simplify]: Extracting #8: cost 4 inf + 985 3.695 * * [simplify]: Extracting #9: cost 0 inf + 1817 3.696 * [simplify]: Simplified to (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 3.696 * [simplify]: Simplified (2 2) to (λ (x) (* (sqrt 1) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 3.696 * * * * [progress]: [ 44 / 127 ] simplifiying candidate # 3.696 * [simplify]: Simplifying (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 3.696 * * [simplify]: iters left: 6 (8 enodes) 3.701 * * [simplify]: iters left: 5 (29 enodes) 3.710 * * [simplify]: iters left: 4 (34 enodes) 3.720 * * [simplify]: Extracting #0: cost 1 inf + 0 3.720 * * [simplify]: Extracting #1: cost 5 inf + 0 3.720 * * [simplify]: Extracting #2: cost 7 inf + 1 3.720 * * [simplify]: Extracting #3: cost 10 inf + 1 3.720 * * [simplify]: Extracting #4: cost 11 inf + 2 3.720 * * [simplify]: Extracting #5: cost 13 inf + 2 3.721 * * [simplify]: Extracting #6: cost 11 inf + 60 3.721 * * [simplify]: Extracting #7: cost 7 inf + 451 3.721 * * [simplify]: Extracting #8: cost 0 inf + 1817 3.722 * [simplify]: Simplified to (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 3.722 * [simplify]: Simplified (2 2) to (λ (x) (* 1 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.722 * * * * [progress]: [ 45 / 127 ] simplifiying candidate # 3.722 * * * * [progress]: [ 46 / 127 ] simplifiying candidate #real (real->posit16 (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))> 3.722 * * * * [progress]: [ 47 / 127 ] simplifiying candidate # 3.722 * * * * [progress]: [ 48 / 127 ] simplifiying candidate # 3.722 * * * * [progress]: [ 49 / 127 ] simplifiying candidate # 3.723 * * * * [progress]: [ 50 / 127 ] simplifiying candidate # 3.723 * [simplify]: Simplifying (- (log 1/2) (log (hypot 1 x))) 3.723 * * [simplify]: iters left: 4 (7 enodes) 3.727 * * [simplify]: iters left: 3 (25 enodes) 3.731 * * [simplify]: iters left: 2 (30 enodes) 3.736 * * [simplify]: Extracting #0: cost 1 inf + 0 3.736 * * [simplify]: Extracting #1: cost 5 inf + 0 3.736 * * [simplify]: Extracting #2: cost 10 inf + 0 3.736 * * [simplify]: Extracting #3: cost 12 inf + 1 3.736 * * [simplify]: Extracting #4: cost 8 inf + 145 3.736 * * [simplify]: Extracting #5: cost 5 inf + 496 3.736 * * [simplify]: Extracting #6: cost 1 inf + 1085 3.737 * * [simplify]: Extracting #7: cost 0 inf + 1323 3.737 * [simplify]: Simplified to (- (log 1/2) (log (hypot 1 x))) 3.737 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (exp (- (log 1/2) (log (hypot 1 x)))) 1/2)))) 3.737 * * * * [progress]: [ 51 / 127 ] simplifiying candidate # 3.737 * * * * [progress]: [ 52 / 127 ] simplifiying candidate # 3.737 * * * * [progress]: [ 53 / 127 ] simplifiying candidate # 3.737 * [simplify]: Simplifying (/ (* (* 1/2 1/2) 1/2) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 3.737 * * [simplify]: iters left: 6 (9 enodes) 3.741 * * [simplify]: iters left: 5 (39 enodes) 3.749 * * [simplify]: iters left: 4 (84 enodes) 3.775 * * [simplify]: iters left: 3 (177 enodes) 3.828 * * [simplify]: iters left: 2 (274 enodes) 3.922 * * [simplify]: iters left: 1 (390 enodes) 4.090 * * [simplify]: Extracting #0: cost 1 inf + 0 4.090 * * [simplify]: Extracting #1: cost 52 inf + 0 4.091 * * [simplify]: Extracting #2: cost 110 inf + 3 4.092 * * [simplify]: Extracting #3: cost 98 inf + 1349 4.096 * * [simplify]: Extracting #4: cost 44 inf + 11555 4.104 * * [simplify]: Extracting #5: cost 7 inf + 27227 4.113 * * [simplify]: Extracting #6: cost 0 inf + 31060 4.121 * [simplify]: Simplified to (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))) 4.121 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (cbrt (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) 1/2)))) 4.121 * * * * [progress]: [ 54 / 127 ] simplifiying candidate # 4.121 * * * * [progress]: [ 55 / 127 ] simplifiying candidate # 4.121 * * * * [progress]: [ 56 / 127 ] simplifiying candidate # 4.122 * * * * [progress]: [ 57 / 127 ] simplifiying candidate # 4.122 * * * * [progress]: [ 58 / 127 ] simplifiying candidate # 4.122 * [simplify]: Simplifying (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 4.122 * * [simplify]: iters left: 6 (9 enodes) 4.127 * * [simplify]: iters left: 5 (35 enodes) 4.139 * * [simplify]: iters left: 4 (52 enodes) 4.155 * * [simplify]: iters left: 3 (59 enodes) 4.173 * * [simplify]: iters left: 2 (62 enodes) 4.190 * * [simplify]: Extracting #0: cost 1 inf + 0 4.190 * * [simplify]: Extracting #1: cost 11 inf + 0 4.190 * * [simplify]: Extracting #2: cost 22 inf + 0 4.191 * * [simplify]: Extracting #3: cost 24 inf + 1 4.191 * * [simplify]: Extracting #4: cost 20 inf + 141 4.192 * * [simplify]: Extracting #5: cost 4 inf + 3413 4.193 * * [simplify]: Extracting #6: cost 0 inf + 4565 4.194 * [simplify]: Simplified to (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) 4.194 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) 1/2)))) 4.194 * [simplify]: Simplifying (/ (cbrt 1/2) (cbrt (hypot 1 x))) 4.195 * * [simplify]: iters left: 4 (7 enodes) 4.199 * * [simplify]: iters left: 3 (23 enodes) 4.207 * * [simplify]: iters left: 2 (25 enodes) 4.215 * * [simplify]: Extracting #0: cost 1 inf + 0 4.215 * * [simplify]: Extracting #1: cost 4 inf + 0 4.215 * * [simplify]: Extracting #2: cost 8 inf + 0 4.215 * * [simplify]: Extracting #3: cost 10 inf + 1 4.215 * * [simplify]: Extracting #4: cost 6 inf + 165 4.215 * * [simplify]: Extracting #5: cost 2 inf + 674 4.215 * * [simplify]: Extracting #6: cost 0 inf + 1069 4.216 * [simplify]: Simplified to (/ (cbrt 1/2) (cbrt (hypot 1 x))) 4.216 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) 1/2)))) 4.216 * * * * [progress]: [ 59 / 127 ] simplifiying candidate # 4.216 * [simplify]: Simplifying (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 4.216 * * [simplify]: iters left: 5 (8 enodes) 4.221 * * [simplify]: iters left: 4 (28 enodes) 4.230 * * [simplify]: iters left: 3 (34 enodes) 4.243 * * [simplify]: iters left: 2 (37 enodes) 4.255 * * [simplify]: Extracting #0: cost 1 inf + 0 4.255 * * [simplify]: Extracting #1: cost 7 inf + 0 4.255 * * [simplify]: Extracting #2: cost 14 inf + 0 4.255 * * [simplify]: Extracting #3: cost 16 inf + 1 4.255 * * [simplify]: Extracting #4: cost 12 inf + 141 4.255 * * [simplify]: Extracting #5: cost 1 inf + 1885 4.256 * * [simplify]: Extracting #6: cost 0 inf + 2103 4.257 * [simplify]: Simplified to (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2))) 4.257 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (* (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) 1/2)))) 4.257 * [simplify]: Simplifying (/ (cbrt 1/2) (sqrt (hypot 1 x))) 4.257 * * [simplify]: iters left: 4 (7 enodes) 4.262 * * [simplify]: iters left: 3 (23 enodes) 4.269 * * [simplify]: iters left: 2 (25 enodes) 4.278 * * [simplify]: Extracting #0: cost 1 inf + 0 4.278 * * [simplify]: Extracting #1: cost 4 inf + 0 4.278 * * [simplify]: Extracting #2: cost 8 inf + 0 4.278 * * [simplify]: Extracting #3: cost 10 inf + 1 4.278 * * [simplify]: Extracting #4: cost 6 inf + 165 4.278 * * [simplify]: Extracting #5: cost 2 inf + 594 4.278 * * [simplify]: Extracting #6: cost 0 inf + 909 4.279 * [simplify]: Simplified to (/ (cbrt 1/2) (sqrt (hypot 1 x))) 4.279 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (* (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) 1/2)))) 4.279 * * * * [progress]: [ 60 / 127 ] simplifiying candidate # 4.279 * [simplify]: Simplifying (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 4.279 * * [simplify]: iters left: 5 (5 enodes) 4.283 * * [simplify]: iters left: 4 (17 enodes) 4.290 * * [simplify]: iters left: 3 (27 enodes) 4.298 * * [simplify]: iters left: 2 (28 enodes) 4.306 * * [simplify]: Extracting #0: cost 1 inf + 0 4.307 * * [simplify]: Extracting #1: cost 5 inf + 0 4.307 * * [simplify]: Extracting #2: cost 7 inf + 1 4.307 * * [simplify]: Extracting #3: cost 6 inf + 2 4.307 * * [simplify]: Extracting #4: cost 1 inf + 528 4.307 * * [simplify]: Extracting #5: cost 0 inf + 650 4.307 * [simplify]: Simplified to (* (cbrt 1/2) (cbrt 1/2)) 4.307 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (* (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x))) 1/2)))) 4.308 * [simplify]: Simplifying (/ (cbrt 1/2) (hypot 1 x)) 4.308 * * [simplify]: iters left: 3 (6 enodes) 4.312 * * [simplify]: iters left: 2 (20 enodes) 4.319 * * [simplify]: iters left: 1 (22 enodes) 4.326 * * [simplify]: Extracting #0: cost 1 inf + 0 4.326 * * [simplify]: Extracting #1: cost 4 inf + 0 4.326 * * [simplify]: Extracting #2: cost 9 inf + 0 4.326 * * [simplify]: Extracting #3: cost 6 inf + 3 4.326 * * [simplify]: Extracting #4: cost 1 inf + 457 4.327 * * [simplify]: Extracting #5: cost 0 inf + 635 4.327 * [simplify]: Simplified to (/ (cbrt 1/2) (hypot 1 x)) 4.327 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (* (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x))) 1/2)))) 4.327 * * * * [progress]: [ 61 / 127 ] simplifiying candidate # 4.327 * [simplify]: Simplifying (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 4.327 * * [simplify]: iters left: 6 (8 enodes) 4.332 * * [simplify]: iters left: 5 (28 enodes) 4.341 * * [simplify]: iters left: 4 (32 enodes) 4.351 * * [simplify]: Extracting #0: cost 1 inf + 0 4.351 * * [simplify]: Extracting #1: cost 6 inf + 0 4.351 * * [simplify]: Extracting #2: cost 12 inf + 0 4.351 * * [simplify]: Extracting #3: cost 14 inf + 1 4.351 * * [simplify]: Extracting #4: cost 11 inf + 44 4.351 * * [simplify]: Extracting #5: cost 7 inf + 336 4.352 * * [simplify]: Extracting #6: cost 0 inf + 1779 4.352 * [simplify]: Simplified to (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) 4.352 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x)))) 1/2)))) 4.353 * [simplify]: Simplifying (/ (sqrt 1/2) (cbrt (hypot 1 x))) 4.353 * * [simplify]: iters left: 4 (7 enodes) 4.357 * * [simplify]: iters left: 3 (23 enodes) 4.365 * * [simplify]: iters left: 2 (25 enodes) 4.373 * * [simplify]: Extracting #0: cost 1 inf + 0 4.373 * * [simplify]: Extracting #1: cost 4 inf + 0 4.373 * * [simplify]: Extracting #2: cost 8 inf + 0 4.374 * * [simplify]: Extracting #3: cost 10 inf + 1 4.374 * * [simplify]: Extracting #4: cost 6 inf + 85 4.374 * * [simplify]: Extracting #5: cost 2 inf + 554 4.374 * * [simplify]: Extracting #6: cost 0 inf + 909 4.374 * [simplify]: Simplified to (/ (sqrt 1/2) (cbrt (hypot 1 x))) 4.374 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x)))) 1/2)))) 4.375 * * * * [progress]: [ 62 / 127 ] simplifiying candidate # 4.375 * [simplify]: Simplifying (/ (sqrt 1/2) (sqrt (hypot 1 x))) 4.375 * * [simplify]: iters left: 4 (7 enodes) 4.379 * * [simplify]: iters left: 3 (23 enodes) 4.387 * * [simplify]: iters left: 2 (25 enodes) 4.397 * * [simplify]: Extracting #0: cost 1 inf + 0 4.398 * * [simplify]: Extracting #1: cost 4 inf + 0 4.398 * * [simplify]: Extracting #2: cost 8 inf + 0 4.398 * * [simplify]: Extracting #3: cost 10 inf + 1 4.398 * * [simplify]: Extracting #4: cost 6 inf + 85 4.398 * * [simplify]: Extracting #5: cost 2 inf + 474 4.398 * * [simplify]: Extracting #6: cost 0 inf + 749 4.398 * [simplify]: Simplified to (/ (sqrt 1/2) (sqrt (hypot 1 x))) 4.399 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 1/2)))) 4.399 * [simplify]: Simplifying (/ (sqrt 1/2) (sqrt (hypot 1 x))) 4.399 * * [simplify]: iters left: 4 (7 enodes) 4.403 * * [simplify]: iters left: 3 (23 enodes) 4.411 * * [simplify]: iters left: 2 (25 enodes) 4.419 * * [simplify]: Extracting #0: cost 1 inf + 0 4.419 * * [simplify]: Extracting #1: cost 4 inf + 0 4.420 * * [simplify]: Extracting #2: cost 8 inf + 0 4.420 * * [simplify]: Extracting #3: cost 10 inf + 1 4.420 * * [simplify]: Extracting #4: cost 6 inf + 85 4.420 * * [simplify]: Extracting #5: cost 2 inf + 474 4.420 * * [simplify]: Extracting #6: cost 0 inf + 749 4.420 * [simplify]: Simplified to (/ (sqrt 1/2) (sqrt (hypot 1 x))) 4.420 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 1/2)))) 4.421 * * * * [progress]: [ 63 / 127 ] simplifiying candidate # 4.421 * [simplify]: Simplifying (/ (sqrt 1/2) 1) 4.421 * * [simplify]: iters left: 3 (4 enodes) 4.424 * * [simplify]: iters left: 2 (12 enodes) 4.429 * * [simplify]: iters left: 1 (14 enodes) 4.434 * * [simplify]: Extracting #0: cost 1 inf + 0 4.434 * * [simplify]: Extracting #1: cost 4 inf + 0 4.434 * * [simplify]: Extracting #2: cost 0 inf + 84 4.434 * [simplify]: Simplified to (sqrt 1/2) 4.434 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (* (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x))) 1/2)))) 4.434 * [simplify]: Simplifying (/ (sqrt 1/2) (hypot 1 x)) 4.434 * * [simplify]: iters left: 3 (6 enodes) 4.438 * * [simplify]: iters left: 2 (20 enodes) 4.442 * * [simplify]: iters left: 1 (22 enodes) 4.446 * * [simplify]: Extracting #0: cost 1 inf + 0 4.446 * * [simplify]: Extracting #1: cost 4 inf + 0 4.446 * * [simplify]: Extracting #2: cost 9 inf + 0 4.446 * * [simplify]: Extracting #3: cost 6 inf + 3 4.446 * * [simplify]: Extracting #4: cost 1 inf + 337 4.446 * * [simplify]: Extracting #5: cost 0 inf + 475 4.447 * [simplify]: Simplified to (/ (sqrt 1/2) (hypot 1 x)) 4.447 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (* (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x))) 1/2)))) 4.447 * * * * [progress]: [ 64 / 127 ] simplifiying candidate # 4.447 * [simplify]: Simplifying (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 4.447 * * [simplify]: iters left: 6 (6 enodes) 4.448 * * [simplify]: iters left: 5 (22 enodes) 4.452 * * [simplify]: iters left: 4 (26 enodes) 4.456 * * [simplify]: Extracting #0: cost 1 inf + 0 4.456 * * [simplify]: Extracting #1: cost 6 inf + 0 4.456 * * [simplify]: Extracting #2: cost 9 inf + 1 4.456 * * [simplify]: Extracting #3: cost 11 inf + 1 4.456 * * [simplify]: Extracting #4: cost 8 inf + 116 4.456 * * [simplify]: Extracting #5: cost 2 inf + 1138 4.456 * * [simplify]: Extracting #6: cost 0 inf + 1532 4.457 * [simplify]: Simplified to (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 4.457 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (* (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x)))) 1/2)))) 4.457 * [simplify]: Simplifying (/ 1/2 (cbrt (hypot 1 x))) 4.457 * * [simplify]: iters left: 4 (6 enodes) 4.459 * * [simplify]: iters left: 3 (20 enodes) 4.462 * * [simplify]: iters left: 2 (22 enodes) 4.465 * * [simplify]: Extracting #0: cost 1 inf + 0 4.465 * * [simplify]: Extracting #1: cost 4 inf + 0 4.466 * * [simplify]: Extracting #2: cost 5 inf + 1 4.466 * * [simplify]: Extracting #3: cost 8 inf + 1 4.466 * * [simplify]: Extracting #4: cost 6 inf + 3 4.466 * * [simplify]: Extracting #5: cost 1 inf + 569 4.466 * * [simplify]: Extracting #6: cost 0 inf + 747 4.466 * [simplify]: Simplified to (/ 1/2 (cbrt (hypot 1 x))) 4.466 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (* (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x)))) 1/2)))) 4.466 * * * * [progress]: [ 65 / 127 ] simplifiying candidate # 4.466 * [simplify]: Simplifying (/ 1 (sqrt (hypot 1 x))) 4.466 * * [simplify]: iters left: 4 (5 enodes) 4.468 * * [simplify]: iters left: 3 (17 enodes) 4.470 * * [simplify]: iters left: 2 (19 enodes) 4.473 * * [simplify]: Extracting #0: cost 1 inf + 0 4.473 * * [simplify]: Extracting #1: cost 4 inf + 0 4.473 * * [simplify]: Extracting #2: cost 5 inf + 1 4.473 * * [simplify]: Extracting #3: cost 7 inf + 1 4.473 * * [simplify]: Extracting #4: cost 0 inf + 584 4.473 * [simplify]: Simplified to (/ 1 (sqrt (hypot 1 x))) 4.473 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (* (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x)))) 1/2)))) 4.473 * [simplify]: Simplifying (/ 1/2 (sqrt (hypot 1 x))) 4.473 * * [simplify]: iters left: 4 (6 enodes) 4.475 * * [simplify]: iters left: 3 (20 enodes) 4.482 * * [simplify]: iters left: 2 (22 enodes) 4.489 * * [simplify]: Extracting #0: cost 1 inf + 0 4.489 * * [simplify]: Extracting #1: cost 4 inf + 0 4.489 * * [simplify]: Extracting #2: cost 5 inf + 1 4.489 * * [simplify]: Extracting #3: cost 8 inf + 1 4.489 * * [simplify]: Extracting #4: cost 6 inf + 3 4.489 * * [simplify]: Extracting #5: cost 1 inf + 449 4.490 * * [simplify]: Extracting #6: cost 0 inf + 587 4.490 * [simplify]: Simplified to (/ 1/2 (sqrt (hypot 1 x))) 4.490 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (* (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x)))) 1/2)))) 4.490 * * * * [progress]: [ 66 / 127 ] simplifiying candidate # 4.490 * [simplify]: Simplifying (/ 1 1) 4.490 * * [simplify]: iters left: 2 (2 enodes) 4.492 * * [simplify]: iters left: 1 (6 enodes) 4.494 * * [simplify]: Extracting #0: cost 1 inf + 0 4.494 * * [simplify]: Extracting #1: cost 0 inf + 1 4.494 * [simplify]: Simplified to 1 4.494 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (* 1 (/ 1/2 (hypot 1 x))) 1/2)))) 4.494 * [simplify]: Simplifying (/ 1/2 (hypot 1 x)) 4.494 * * [simplify]: iters left: 3 (5 enodes) 4.497 * * [simplify]: iters left: 2 (17 enodes) 4.503 * * [simplify]: iters left: 1 (19 enodes) 4.509 * * [simplify]: Extracting #0: cost 1 inf + 0 4.509 * * [simplify]: Extracting #1: cost 4 inf + 0 4.509 * * [simplify]: Extracting #2: cost 6 inf + 1 4.509 * * [simplify]: Extracting #3: cost 0 inf + 313 4.510 * [simplify]: Simplified to (/ 1/2 (hypot 1 x)) 4.510 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (* 1 (/ 1/2 (hypot 1 x))) 1/2)))) 4.510 * * * * [progress]: [ 67 / 127 ] simplifiying candidate # 4.510 * * * * [progress]: [ 68 / 127 ] simplifiying candidate # 4.510 * * * * [progress]: [ 69 / 127 ] simplifiying candidate # 4.510 * * * * [progress]: [ 70 / 127 ] simplifiying candidate # 4.510 * [simplify]: Simplifying (cbrt (hypot 1 x)) 4.510 * * [simplify]: iters left: 2 (4 enodes) 4.512 * * [simplify]: iters left: 1 (14 enodes) 4.517 * * [simplify]: Extracting #0: cost 1 inf + 0 4.517 * * [simplify]: Extracting #1: cost 3 inf + 0 4.517 * * [simplify]: Extracting #2: cost 6 inf + 0 4.517 * * [simplify]: Extracting #3: cost 2 inf + 116 4.517 * * [simplify]: Extracting #4: cost 1 inf + 253 4.517 * * [simplify]: Extracting #5: cost 0 inf + 390 4.517 * [simplify]: Simplified to (cbrt (hypot 1 x)) 4.517 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))) 1/2)))) 4.517 * * * * [progress]: [ 71 / 127 ] simplifiying candidate # 4.518 * [simplify]: Simplifying (sqrt (hypot 1 x)) 4.518 * * [simplify]: iters left: 2 (4 enodes) 4.522 * * [simplify]: iters left: 1 (14 enodes) 4.527 * * [simplify]: Extracting #0: cost 1 inf + 0 4.527 * * [simplify]: Extracting #1: cost 3 inf + 0 4.527 * * [simplify]: Extracting #2: cost 6 inf + 0 4.527 * * [simplify]: Extracting #3: cost 2 inf + 116 4.527 * * [simplify]: Extracting #4: cost 1 inf + 213 4.527 * * [simplify]: Extracting #5: cost 0 inf + 310 4.527 * [simplify]: Simplified to (sqrt (hypot 1 x)) 4.527 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) 1/2)))) 4.527 * * * * [progress]: [ 72 / 127 ] simplifiying candidate # 4.528 * [simplify]: Simplifying (hypot 1 x) 4.528 * * [simplify]: iters left: 1 (3 enodes) 4.530 * * [simplify]: Extracting #0: cost 1 inf + 0 4.530 * * [simplify]: Extracting #1: cost 4 inf + 0 4.530 * * [simplify]: Extracting #2: cost 2 inf + 2 4.530 * * [simplify]: Extracting #3: cost 0 inf + 116 4.530 * [simplify]: Simplified to (hypot 1 x) 4.530 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (/ (/ 1/2 1) (hypot 1 x)) 1/2)))) 4.530 * * * * [progress]: [ 73 / 127 ] simplifiying candidate # 4.530 * [simplify]: Simplifying (* (cbrt 1/2) (cbrt 1/2)) 4.530 * * [simplify]: iters left: 3 (3 enodes) 4.532 * * [simplify]: iters left: 2 (9 enodes) 4.536 * * [simplify]: Extracting #0: cost 1 inf + 0 4.536 * * [simplify]: Extracting #1: cost 3 inf + 0 4.536 * * [simplify]: Extracting #2: cost 5 inf + 0 4.536 * * [simplify]: Extracting #3: cost 4 inf + 1 4.537 * * [simplify]: Extracting #4: cost 0 inf + 405 4.537 * [simplify]: Simplified to (* (cbrt 1/2) (cbrt 1/2)) 4.537 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (hypot 1 x) (cbrt 1/2))) 1/2)))) 4.537 * * * * [progress]: [ 74 / 127 ] simplifiying candidate # 4.537 * [simplify]: Simplifying (sqrt 1/2) 4.537 * * [simplify]: iters left: 1 (2 enodes) 4.539 * * [simplify]: Extracting #0: cost 1 inf + 0 4.539 * * [simplify]: Extracting #1: cost 3 inf + 0 4.539 * * [simplify]: Extracting #2: cost 2 inf + 1 4.539 * * [simplify]: Extracting #3: cost 0 inf + 83 4.539 * [simplify]: Simplified to (sqrt 1/2) 4.539 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (/ (sqrt 1/2) (/ (hypot 1 x) (sqrt 1/2))) 1/2)))) 4.539 * * * * [progress]: [ 75 / 127 ] simplifiying candidate # 4.539 * * * * [progress]: [ 76 / 127 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x)))) 1/2))))> 4.539 * * * * [progress]: [ 77 / 127 ] simplifiying candidate # 4.539 * * * * [progress]: [ 78 / 127 ] simplifiying candidate # 4.540 * * * * [progress]: [ 79 / 127 ] simplifiying candidate # 4.540 * * * * [progress]: [ 80 / 127 ] simplifiying candidate # 4.540 * * * * [progress]: [ 81 / 127 ] simplifiying candidate # 4.540 * * * * [progress]: [ 82 / 127 ] simplifiying candidate # 4.540 * * * * [progress]: [ 83 / 127 ] simplifiying candidate # 4.540 * * * * [progress]: [ 84 / 127 ] simplifiying candidate # 4.540 * * * * [progress]: [ 85 / 127 ] simplifiying candidate # 4.540 * * * * [progress]: [ 86 / 127 ] simplifiying candidate # 4.540 * * * * [progress]: [ 87 / 127 ] simplifiying candidate #real (real->posit16 (hypot 1 x)))) 1/2))))> 4.540 * * * * [progress]: [ 88 / 127 ] simplifiying candidate # 4.540 * * * * [progress]: [ 89 / 127 ] simplifiying candidate # 4.540 * * * * [progress]: [ 90 / 127 ] simplifiying candidate # 4.540 * [simplify]: Simplifying (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 4.541 * * [simplify]: iters left: 6 (7 enodes) 4.544 * * [simplify]: iters left: 5 (23 enodes) 4.552 * * [simplify]: iters left: 4 (25 enodes) 4.560 * * [simplify]: Extracting #0: cost 1 inf + 0 4.560 * * [simplify]: Extracting #1: cost 3 inf + 0 4.560 * * [simplify]: Extracting #2: cost 5 inf + 0 4.560 * * [simplify]: Extracting #3: cost 8 inf + 0 4.560 * * [simplify]: Extracting #4: cost 10 inf + 1 4.560 * * [simplify]: Extracting #5: cost 6 inf + 117 4.560 * * [simplify]: Extracting #6: cost 2 inf + 709 4.561 * * [simplify]: Extracting #7: cost 0 inf + 1105 4.561 * [simplify]: Simplified to (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 4.561 * [simplify]: Simplified (2 2 1 1) to (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)))) 4.561 * * * * [progress]: [ 91 / 127 ] simplifiying candidate # 4.562 * [simplify]: Simplifying (sqrt (/ 1/2 (hypot 1 x))) 4.562 * * [simplify]: iters left: 4 (6 enodes) 4.565 * * [simplify]: iters left: 3 (20 enodes) 4.570 * * [simplify]: iters left: 2 (22 enodes) 4.573 * * [simplify]: Extracting #0: cost 1 inf + 0 4.573 * * [simplify]: Extracting #1: cost 3 inf + 0 4.573 * * [simplify]: Extracting #2: cost 6 inf + 0 4.574 * * [simplify]: Extracting #3: cost 8 inf + 1 4.574 * * [simplify]: Extracting #4: cost 6 inf + 3 4.574 * * [simplify]: Extracting #5: cost 1 inf + 451 4.574 * * [simplify]: Extracting #6: cost 0 inf + 589 4.574 * [simplify]: Simplified to (sqrt (/ 1/2 (hypot 1 x))) 4.574 * [simplify]: Simplified (2 2 1 1) to (λ (x) (- 1 (sqrt (fma (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) 1/2)))) 4.574 * * * * [progress]: [ 92 / 127 ] simplifiying candidate # 4.574 * [simplify]: Simplifying (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 4.574 * * [simplify]: iters left: 6 (9 enodes) 4.577 * * [simplify]: iters left: 5 (35 enodes) 4.583 * * [simplify]: iters left: 4 (52 enodes) 4.591 * * [simplify]: iters left: 3 (59 enodes) 4.600 * * [simplify]: iters left: 2 (62 enodes) 4.608 * * [simplify]: Extracting #0: cost 1 inf + 0 4.608 * * [simplify]: Extracting #1: cost 11 inf + 0 4.609 * * [simplify]: Extracting #2: cost 22 inf + 0 4.609 * * [simplify]: Extracting #3: cost 24 inf + 1 4.609 * * [simplify]: Extracting #4: cost 20 inf + 141 4.609 * * [simplify]: Extracting #5: cost 4 inf + 3413 4.610 * * [simplify]: Extracting #6: cost 0 inf + 4565 4.610 * [simplify]: Simplified to (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) 4.610 * [simplify]: Simplified (2 2 1 1) to (λ (x) (- 1 (sqrt (fma (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))) 1/2)))) 4.610 * * * * [progress]: [ 93 / 127 ] simplifiying candidate # 4.611 * [simplify]: Simplifying (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 4.611 * * [simplify]: iters left: 5 (8 enodes) 4.613 * * [simplify]: iters left: 4 (28 enodes) 4.618 * * [simplify]: iters left: 3 (34 enodes) 4.627 * * [simplify]: iters left: 2 (37 enodes) 4.640 * * [simplify]: Extracting #0: cost 1 inf + 0 4.640 * * [simplify]: Extracting #1: cost 7 inf + 0 4.640 * * [simplify]: Extracting #2: cost 14 inf + 0 4.640 * * [simplify]: Extracting #3: cost 16 inf + 1 4.640 * * [simplify]: Extracting #4: cost 12 inf + 141 4.640 * * [simplify]: Extracting #5: cost 1 inf + 1885 4.641 * * [simplify]: Extracting #6: cost 0 inf + 2103 4.642 * [simplify]: Simplified to (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2))) 4.642 * [simplify]: Simplified (2 2 1 1) to (λ (x) (- 1 (sqrt (fma (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2))) (/ (cbrt 1/2) (sqrt (hypot 1 x))) 1/2)))) 4.642 * * * * [progress]: [ 94 / 127 ] simplifiying candidate # 4.642 * [simplify]: Simplifying (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 4.642 * * [simplify]: iters left: 5 (5 enodes) 4.646 * * [simplify]: iters left: 4 (17 enodes) 4.653 * * [simplify]: iters left: 3 (27 enodes) 4.662 * * [simplify]: iters left: 2 (28 enodes) 4.670 * * [simplify]: Extracting #0: cost 1 inf + 0 4.670 * * [simplify]: Extracting #1: cost 5 inf + 0 4.670 * * [simplify]: Extracting #2: cost 7 inf + 1 4.670 * * [simplify]: Extracting #3: cost 6 inf + 2 4.670 * * [simplify]: Extracting #4: cost 1 inf + 528 4.670 * * [simplify]: Extracting #5: cost 0 inf + 650 4.670 * [simplify]: Simplified to (* (cbrt 1/2) (cbrt 1/2)) 4.671 * [simplify]: Simplified (2 2 1 1) to (λ (x) (- 1 (sqrt (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x)) 1/2)))) 4.671 * * * * [progress]: [ 95 / 127 ] simplifiying candidate # 4.671 * [simplify]: Simplifying (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 4.671 * * [simplify]: iters left: 6 (8 enodes) 4.676 * * [simplify]: iters left: 5 (28 enodes) 4.685 * * [simplify]: iters left: 4 (32 enodes) 4.696 * * [simplify]: Extracting #0: cost 1 inf + 0 4.696 * * [simplify]: Extracting #1: cost 6 inf + 0 4.696 * * [simplify]: Extracting #2: cost 12 inf + 0 4.696 * * [simplify]: Extracting #3: cost 14 inf + 1 4.696 * * [simplify]: Extracting #4: cost 11 inf + 44 4.696 * * [simplify]: Extracting #5: cost 7 inf + 336 4.696 * * [simplify]: Extracting #6: cost 0 inf + 1779 4.697 * [simplify]: Simplified to (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) 4.697 * [simplify]: Simplified (2 2 1 1) to (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)))) 4.697 * * * * [progress]: [ 96 / 127 ] simplifiying candidate # 4.697 * [simplify]: Simplifying (/ (sqrt 1/2) (sqrt (hypot 1 x))) 4.698 * * [simplify]: iters left: 4 (7 enodes) 4.702 * * [simplify]: iters left: 3 (23 enodes) 4.709 * * [simplify]: iters left: 2 (25 enodes) 4.717 * * [simplify]: Extracting #0: cost 1 inf + 0 4.717 * * [simplify]: Extracting #1: cost 4 inf + 0 4.717 * * [simplify]: Extracting #2: cost 8 inf + 0 4.717 * * [simplify]: Extracting #3: cost 10 inf + 1 4.717 * * [simplify]: Extracting #4: cost 6 inf + 85 4.717 * * [simplify]: Extracting #5: cost 2 inf + 474 4.717 * * [simplify]: Extracting #6: cost 0 inf + 749 4.718 * [simplify]: Simplified to (/ (sqrt 1/2) (sqrt (hypot 1 x))) 4.718 * [simplify]: Simplified (2 2 1 1) to (λ (x) (- 1 (sqrt (fma (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1/2)))) 4.718 * * * * [progress]: [ 97 / 127 ] simplifiying candidate # 4.719 * [simplify]: Simplifying (/ (sqrt 1/2) 1) 4.719 * * [simplify]: iters left: 3 (4 enodes) 4.721 * * [simplify]: iters left: 2 (12 enodes) 4.726 * * [simplify]: iters left: 1 (14 enodes) 4.730 * * [simplify]: Extracting #0: cost 1 inf + 0 4.730 * * [simplify]: Extracting #1: cost 4 inf + 0 4.730 * * [simplify]: Extracting #2: cost 0 inf + 84 4.730 * [simplify]: Simplified to (sqrt 1/2) 4.731 * [simplify]: Simplified (2 2 1 1) to (λ (x) (- 1 (sqrt (fma (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x)) 1/2)))) 4.731 * * * * [progress]: [ 98 / 127 ] simplifiying candidate # 4.731 * [simplify]: Simplifying (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 4.731 * * [simplify]: iters left: 6 (6 enodes) 4.734 * * [simplify]: iters left: 5 (22 enodes) 4.741 * * [simplify]: iters left: 4 (26 enodes) 4.748 * * [simplify]: Extracting #0: cost 1 inf + 0 4.748 * * [simplify]: Extracting #1: cost 6 inf + 0 4.748 * * [simplify]: Extracting #2: cost 9 inf + 1 4.748 * * [simplify]: Extracting #3: cost 11 inf + 1 4.748 * * [simplify]: Extracting #4: cost 8 inf + 116 4.749 * * [simplify]: Extracting #5: cost 2 inf + 1138 4.749 * * [simplify]: Extracting #6: cost 0 inf + 1532 4.749 * [simplify]: Simplified to (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 4.749 * [simplify]: Simplified (2 2 1 1) to (λ (x) (- 1 (sqrt (fma (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x))) 1/2)))) 4.750 * * * * [progress]: [ 99 / 127 ] simplifiying candidate # 4.750 * [simplify]: Simplifying (/ 1 (sqrt (hypot 1 x))) 4.750 * * [simplify]: iters left: 4 (5 enodes) 4.753 * * [simplify]: iters left: 3 (17 enodes) 4.758 * * [simplify]: iters left: 2 (19 enodes) 4.764 * * [simplify]: Extracting #0: cost 1 inf + 0 4.764 * * [simplify]: Extracting #1: cost 4 inf + 0 4.764 * * [simplify]: Extracting #2: cost 5 inf + 1 4.764 * * [simplify]: Extracting #3: cost 7 inf + 1 4.764 * * [simplify]: Extracting #4: cost 0 inf + 584 4.764 * [simplify]: Simplified to (/ 1 (sqrt (hypot 1 x))) 4.764 * [simplify]: Simplified (2 2 1 1) to (λ (x) (- 1 (sqrt (fma (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) 1/2)))) 4.764 * * * * [progress]: [ 100 / 127 ] simplifiying candidate # 4.765 * [simplify]: Simplifying (/ 1 1) 4.765 * * [simplify]: iters left: 2 (2 enodes) 4.766 * * [simplify]: iters left: 1 (6 enodes) 4.768 * * [simplify]: Extracting #0: cost 1 inf + 0 4.768 * * [simplify]: Extracting #1: cost 0 inf + 1 4.768 * [simplify]: Simplified to 1 4.768 * [simplify]: Simplified (2 2 1 1) to (λ (x) (- 1 (sqrt (fma 1 (/ 1/2 (hypot 1 x)) 1/2)))) 4.768 * * * * [progress]: [ 101 / 127 ] simplifiying candidate # 4.769 * * * * [progress]: [ 102 / 127 ] simplifiying candidate # 4.769 * * * * [progress]: [ 103 / 127 ] simplifiying candidate # 4.769 * [simplify]: Simplifying (* (exp (/ 1/2 (hypot 1 x))) (exp 1/2)) 4.769 * * [simplify]: iters left: 6 (8 enodes) 4.774 * * [simplify]: iters left: 5 (29 enodes) 4.785 * * [simplify]: iters left: 4 (35 enodes) 4.790 * * [simplify]: Extracting #0: cost 1 inf + 0 4.790 * * [simplify]: Extracting #1: cost 5 inf + 0 4.790 * * [simplify]: Extracting #2: cost 10 inf + 0 4.790 * * [simplify]: Extracting #3: cost 11 inf + 1 4.790 * * [simplify]: Extracting #4: cost 12 inf + 143 4.790 * * [simplify]: Extracting #5: cost 10 inf + 145 4.790 * * [simplify]: Extracting #6: cost 9 inf + 202 4.790 * * [simplify]: Extracting #7: cost 1 inf + 1315 4.791 * * [simplify]: Extracting #8: cost 0 inf + 1483 4.791 * [simplify]: Simplified to (exp (+ 1/2 (/ 1/2 (hypot 1 x)))) 4.791 * [simplify]: Simplified (2 2 1 1) to (λ (x) (- 1 (sqrt (log (exp (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 4.791 * * * * [progress]: [ 104 / 127 ] simplifiying candidate # 4.791 * * * * [progress]: [ 105 / 127 ] simplifiying candidate # 4.791 * * * * [progress]: [ 106 / 127 ] simplifiying candidate # 4.791 * * * * [progress]: [ 107 / 127 ] simplifiying candidate # 4.791 * * * * [progress]: [ 108 / 127 ] simplifiying candidate # 4.791 * * * * [progress]: [ 109 / 127 ] simplifiying candidate # 4.791 * * * * [progress]: [ 110 / 127 ] simplifiying candidate # 4.791 * * * * [progress]: [ 111 / 127 ] simplifiying candidate # 4.791 * * * * [progress]: [ 112 / 127 ] simplifiying candidate # 4.791 * * * * [progress]: [ 113 / 127 ] simplifiying candidate # 4.792 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 4.792 * * [simplify]: iters left: 5 (6 enodes) 4.793 * * [simplify]: iters left: 4 (21 enodes) 4.797 * * [simplify]: iters left: 3 (23 enodes) 4.800 * * [simplify]: Extracting #0: cost 1 inf + 0 4.800 * * [simplify]: Extracting #1: cost 4 inf + 0 4.800 * * [simplify]: Extracting #2: cost 5 inf + 1 4.800 * * [simplify]: Extracting #3: cost 8 inf + 1 4.800 * * [simplify]: Extracting #4: cost 6 inf + 3 4.801 * * [simplify]: Extracting #5: cost 0 inf + 589 4.801 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 4.801 * [simplify]: Simplified (2 2 1 2) to (λ (x) (- 1 (sqrt (* 1 (+ 1/2 (/ 1/2 (hypot 1 x))))))) 4.801 * * * * [progress]: [ 114 / 127 ] simplifiying candidate #real (real->posit16 (+ (/ 1/2 (hypot 1 x)) 1/2))))))> 4.801 * * * * [progress]: [ 115 / 127 ] simplifiying candidate # 4.801 * * * * [progress]: [ 116 / 127 ] simplifiying candidate # 4.801 * [simplify]: Simplifying (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) 4.801 * * [simplify]: iters left: 6 (15 enodes) 4.809 * * [simplify]: iters left: 5 (66 enodes) 4.834 * * [simplify]: iters left: 4 (120 enodes) 4.864 * * [simplify]: iters left: 3 (211 enodes) 4.919 * * [simplify]: iters left: 2 (372 enodes) 5.060 * * [simplify]: Extracting #0: cost 1 inf + 0 5.061 * * [simplify]: Extracting #1: cost 35 inf + 0 5.062 * * [simplify]: Extracting #2: cost 123 inf + 5 5.068 * * [simplify]: Extracting #3: cost 106 inf + 3837 5.076 * * [simplify]: Extracting #4: cost 24 inf + 21133 5.087 * * [simplify]: Extracting #5: cost 2 inf + 27065 5.098 * * [simplify]: Extracting #6: cost 0 inf + 27540 5.109 * [simplify]: Simplified to (fma (* x x) (fma 69/1024 (* (* x x) (* x x)) 1/8) (* (* (* x x) (* x x)) -11/128)) 5.109 * [simplify]: Simplified (2) to (λ (x) (fma (* x x) (fma 69/1024 (* (* x x) (* x x)) 1/8) (* (* (* x x) (* x x)) -11/128))) 5.109 * * * * [progress]: [ 117 / 127 ] simplifiying candidate # 5.110 * [simplify]: Simplifying (- (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) 1) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (sqrt 1/2))) 5.110 * * [simplify]: iters left: 6 (19 enodes) 5.123 * * [simplify]: iters left: 5 (92 enodes) 5.156 * * [simplify]: iters left: 4 (174 enodes) 5.207 * * [simplify]: iters left: 3 (369 enodes) 5.363 * * [simplify]: Extracting #0: cost 1 inf + 0 5.363 * * [simplify]: Extracting #1: cost 41 inf + 0 5.363 * * [simplify]: Extracting #2: cost 136 inf + 5 5.364 * * [simplify]: Extracting #3: cost 192 inf + 786 5.367 * * [simplify]: Extracting #4: cost 110 inf + 11226 5.375 * * [simplify]: Extracting #5: cost 18 inf + 38730 5.384 * * [simplify]: Extracting #6: cost 0 inf + 46530 5.393 * [simplify]: Simplified to (- (- 1 (sqrt 1/2)) (- (/ 1/4 (* (sqrt 1/2) x)) (/ (/ (/ 1/16 (sqrt 1/2)) x) x))) 5.394 * [simplify]: Simplified (2) to (λ (x) (- (- 1 (sqrt 1/2)) (- (/ 1/4 (* (sqrt 1/2) x)) (/ (/ (/ 1/16 (sqrt 1/2)) x) x)))) 5.394 * * * * [progress]: [ 118 / 127 ] simplifiying candidate # 5.394 * [simplify]: Simplifying (- (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) 1)) (sqrt 1/2)) 5.394 * * [simplify]: iters left: 6 (19 enodes) 5.406 * * [simplify]: iters left: 5 (92 enodes) 5.430 * * [simplify]: iters left: 4 (174 enodes) 5.475 * * [simplify]: iters left: 3 (351 enodes) 5.603 * * [simplify]: Extracting #0: cost 1 inf + 0 5.603 * * [simplify]: Extracting #1: cost 29 inf + 0 5.603 * * [simplify]: Extracting #2: cost 115 inf + 4 5.604 * * [simplify]: Extracting #3: cost 173 inf + 538 5.606 * * [simplify]: Extracting #4: cost 109 inf + 8701 5.612 * * [simplify]: Extracting #5: cost 32 inf + 27819 5.622 * * [simplify]: Extracting #6: cost 0 inf + 41649 5.630 * [simplify]: Simplified to (+ (+ (/ (/ 1/16 (sqrt 1/2)) (* x x)) (/ (/ 1/4 (sqrt 1/2)) x)) (- 1 (sqrt 1/2))) 5.630 * [simplify]: Simplified (2) to (λ (x) (+ (+ (/ (/ 1/16 (sqrt 1/2)) (* x x)) (/ (/ 1/4 (sqrt 1/2)) x)) (- 1 (sqrt 1/2)))) 5.630 * * * * [progress]: [ 119 / 127 ] simplifiying candidate # 5.630 * [simplify]: Simplifying (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) 5.630 * * [simplify]: iters left: 6 (12 enodes) 5.635 * * [simplify]: iters left: 5 (52 enodes) 5.645 * * [simplify]: iters left: 4 (84 enodes) 5.658 * * [simplify]: iters left: 3 (120 enodes) 5.676 * * [simplify]: iters left: 2 (156 enodes) 5.712 * * [simplify]: iters left: 1 (171 enodes) 5.734 * * [simplify]: Extracting #0: cost 1 inf + 0 5.734 * * [simplify]: Extracting #1: cost 26 inf + 0 5.734 * * [simplify]: Extracting #2: cost 42 inf + 46 5.735 * * [simplify]: Extracting #3: cost 11 inf + 3086 5.736 * * [simplify]: Extracting #4: cost 0 inf + 4633 5.738 * * [simplify]: Extracting #5: cost 0 inf + 4593 5.740 * [simplify]: Simplified to (fma (* x x) -1/4 (fma 3/16 (* (* x x) (* x x)) 1/2)) 5.740 * [simplify]: Simplified (2 2 1 1) to (λ (x) (- 1 (sqrt (+ (fma (* x x) -1/4 (fma 3/16 (* (* x x) (* x x)) 1/2)) 1/2)))) 5.740 * * * * [progress]: [ 120 / 127 ] simplifiying candidate # 5.740 * [simplify]: Simplifying (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) 5.740 * * [simplify]: iters left: 6 (17 enodes) 5.749 * * [simplify]: iters left: 5 (80 enodes) 5.780 * * [simplify]: iters left: 4 (151 enodes) 5.830 * * [simplify]: iters left: 3 (258 enodes) 5.880 * * [simplify]: iters left: 2 (438 enodes) 6.012 * * [simplify]: Extracting #0: cost 1 inf + 0 6.013 * * [simplify]: Extracting #1: cost 23 inf + 0 6.013 * * [simplify]: Extracting #2: cost 101 inf + 4 6.014 * * [simplify]: Extracting #3: cost 196 inf + 175 6.019 * * [simplify]: Extracting #4: cost 136 inf + 17518 6.034 * * [simplify]: Extracting #5: cost 42 inf + 54368 6.048 * * [simplify]: Extracting #6: cost 2 inf + 70489 6.060 * * [simplify]: Extracting #7: cost 0 inf + 71257 6.068 * [simplify]: Simplified to (- (/ 1/2 x) (- (/ (/ 1/4 x) (* x x)) (/ 3/16 (pow x 5)))) 6.068 * [simplify]: Simplified (2 2 1 1) to (λ (x) (- 1 (sqrt (+ (- (/ 1/2 x) (- (/ (/ 1/4 x) (* x x)) (/ 3/16 (pow x 5)))) 1/2)))) 6.068 * * * * [progress]: [ 121 / 127 ] simplifiying candidate # 6.068 * [simplify]: Simplifying (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) 6.068 * * [simplify]: iters left: 6 (17 enodes) 6.076 * * [simplify]: iters left: 5 (81 enodes) 6.095 * * [simplify]: iters left: 4 (143 enodes) 6.145 * * [simplify]: iters left: 3 (253 enodes) 6.237 * * [simplify]: iters left: 2 (464 enodes) 6.359 * * [simplify]: Extracting #0: cost 1 inf + 0 6.359 * * [simplify]: Extracting #1: cost 31 inf + 0 6.360 * * [simplify]: Extracting #2: cost 110 inf + 5 6.361 * * [simplify]: Extracting #3: cost 198 inf + 173 6.362 * * [simplify]: Extracting #4: cost 164 inf + 7358 6.367 * * [simplify]: Extracting #5: cost 78 inf + 36109 6.374 * * [simplify]: Extracting #6: cost 5 inf + 70497 6.387 * * [simplify]: Extracting #7: cost 0 inf + 72524 6.402 * [simplify]: Simplified to (- (/ (/ 1/4 x) (* x x)) (+ (/ 3/16 (pow x 5)) (/ 1/2 x))) 6.402 * [simplify]: Simplified (2 2 1 1) to (λ (x) (- 1 (sqrt (+ (- (/ (/ 1/4 x) (* x x)) (+ (/ 3/16 (pow x 5)) (/ 1/2 x))) 1/2)))) 6.402 * * * * [progress]: [ 122 / 127 ] simplifiying candidate # 6.403 * [simplify]: Simplifying (- (+ (* 1/2 (pow x 2)) 1) (* 1/8 (pow x 4))) 6.403 * * [simplify]: iters left: 6 (12 enodes) 6.412 * * [simplify]: iters left: 5 (53 enodes) 6.431 * * [simplify]: iters left: 4 (83 enodes) 6.458 * * [simplify]: iters left: 3 (114 enodes) 6.492 * * [simplify]: iters left: 2 (137 enodes) 6.509 * * [simplify]: iters left: 1 (163 enodes) 6.538 * * [simplify]: Extracting #0: cost 1 inf + 0 6.538 * * [simplify]: Extracting #1: cost 24 inf + 0 6.538 * * [simplify]: Extracting #2: cost 41 inf + 5 6.539 * * [simplify]: Extracting #3: cost 31 inf + 947 6.541 * * [simplify]: Extracting #4: cost 7 inf + 3936 6.544 * * [simplify]: Extracting #5: cost 0 inf + 4770 6.547 * [simplify]: Simplified to (fma (* (* x x) (* x x)) -1/8 (fma 1/2 (* x x) 1)) 6.548 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (/ 1/2 (fma (* (* x x) (* x x)) -1/8 (fma 1/2 (* x x) 1))) 1/2)))) 6.548 * * * * [progress]: [ 123 / 127 ] simplifiying candidate # 6.548 * [simplify]: Simplifying (- (+ x (* 1/2 (/ 1 x))) (* 1/8 (/ 1 (pow x 3)))) 6.548 * * [simplify]: iters left: 6 (12 enodes) 6.558 * * [simplify]: iters left: 5 (57 enodes) 6.580 * * [simplify]: iters left: 4 (109 enodes) 6.611 * * [simplify]: iters left: 3 (178 enodes) 6.648 * * [simplify]: iters left: 2 (288 enodes) 6.721 * * [simplify]: Extracting #0: cost 1 inf + 0 6.722 * * [simplify]: Extracting #1: cost 19 inf + 0 6.722 * * [simplify]: Extracting #2: cost 63 inf + 4 6.723 * * [simplify]: Extracting #3: cost 102 inf + 1320 6.726 * * [simplify]: Extracting #4: cost 67 inf + 7953 6.729 * * [simplify]: Extracting #5: cost 20 inf + 26659 6.733 * * [simplify]: Extracting #6: cost 1 inf + 34784 6.737 * * [simplify]: Extracting #7: cost 0 inf + 34796 6.741 * [simplify]: Simplified to (- (+ x (/ 1/2 x)) (/ (/ 1/8 x) (* x x))) 6.741 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (/ 1/2 (- (+ x (/ 1/2 x)) (/ (/ 1/8 x) (* x x)))) 1/2)))) 6.741 * * * * [progress]: [ 124 / 127 ] simplifiying candidate # 6.741 * [simplify]: Simplifying (- (* 1/8 (/ 1 (pow x 3))) (+ x (* 1/2 (/ 1 x)))) 6.741 * * [simplify]: iters left: 6 (12 enodes) 6.746 * * [simplify]: iters left: 5 (58 enodes) 6.759 * * [simplify]: iters left: 4 (103 enodes) 6.786 * * [simplify]: iters left: 3 (170 enodes) 6.822 * * [simplify]: iters left: 2 (286 enodes) 6.901 * * [simplify]: Extracting #0: cost 1 inf + 0 6.901 * * [simplify]: Extracting #1: cost 27 inf + 0 6.902 * * [simplify]: Extracting #2: cost 68 inf + 333 6.903 * * [simplify]: Extracting #3: cost 100 inf + 1278 6.905 * * [simplify]: Extracting #4: cost 70 inf + 7355 6.911 * * [simplify]: Extracting #5: cost 18 inf + 24087 6.915 * * [simplify]: Extracting #6: cost 1 inf + 31156 6.919 * * [simplify]: Extracting #7: cost 0 inf + 31328 6.923 * [simplify]: Simplified to (+ (/ -1/2 x) (- (/ (/ 1/8 x) (* x x)) x)) 6.923 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (/ 1/2 (+ (/ -1/2 x) (- (/ (/ 1/8 x) (* x x)) x))) 1/2)))) 6.923 * * * * [progress]: [ 125 / 127 ] simplifiying candidate # 6.923 * [simplify]: Simplifying (- (+ (* 3/16 (pow x 4)) 1) (* 1/4 (pow x 2))) 6.923 * * [simplify]: iters left: 6 (12 enodes) 6.928 * * [simplify]: iters left: 5 (53 enodes) 6.937 * * [simplify]: iters left: 4 (83 enodes) 6.960 * * [simplify]: iters left: 3 (116 enodes) 6.987 * * [simplify]: iters left: 2 (152 enodes) 7.004 * * [simplify]: iters left: 1 (167 enodes) 7.033 * * [simplify]: Extracting #0: cost 1 inf + 0 7.034 * * [simplify]: Extracting #1: cost 26 inf + 0 7.034 * * [simplify]: Extracting #2: cost 41 inf + 127 7.035 * * [simplify]: Extracting #3: cost 15 inf + 2339 7.036 * * [simplify]: Extracting #4: cost 0 inf + 4593 7.038 * [simplify]: Simplified to (fma (* x x) -1/4 (fma 3/16 (* (* x x) (* x x)) 1)) 7.038 * [simplify]: Simplified (2 2 1) to (λ (x) (- 1 (sqrt (fma (* x x) -1/4 (fma 3/16 (* (* x x) (* x x)) 1))))) 7.038 * * * * [progress]: [ 126 / 127 ] simplifiying candidate # 7.038 * [simplify]: Simplifying (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) 7.038 * * [simplify]: iters left: 6 (12 enodes) 7.043 * * [simplify]: iters left: 5 (58 enodes) 7.060 * * [simplify]: iters left: 4 (111 enodes) 7.084 * * [simplify]: iters left: 3 (183 enodes) 7.133 * * [simplify]: iters left: 2 (291 enodes) 7.194 * * [simplify]: Extracting #0: cost 1 inf + 0 7.194 * * [simplify]: Extracting #1: cost 19 inf + 0 7.194 * * [simplify]: Extracting #2: cost 65 inf + 3 7.194 * * [simplify]: Extracting #3: cost 112 inf + 541 7.196 * * [simplify]: Extracting #4: cost 72 inf + 6696 7.198 * * [simplify]: Extracting #5: cost 28 inf + 23187 7.202 * * [simplify]: Extracting #6: cost 2 inf + 33919 7.209 * * [simplify]: Extracting #7: cost 0 inf + 34805 7.214 * [simplify]: Simplified to (- (+ 1/2 (/ 1/2 x)) (/ 1/4 (* x (* x x)))) 7.214 * [simplify]: Simplified (2 2 1) to (λ (x) (- 1 (sqrt (- (+ 1/2 (/ 1/2 x)) (/ 1/4 (* x (* x x))))))) 7.214 * * * * [progress]: [ 127 / 127 ] simplifiying candidate # 7.214 * [simplify]: Simplifying (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) 7.214 * * [simplify]: iters left: 6 (12 enodes) 7.219 * * [simplify]: iters left: 5 (58 enodes) 7.231 * * [simplify]: iters left: 4 (109 enodes) 7.258 * * [simplify]: iters left: 3 (172 enodes) 7.314 * * [simplify]: iters left: 2 (270 enodes) 7.401 * * [simplify]: iters left: 1 (499 enodes) 7.653 * * [simplify]: Extracting #0: cost 1 inf + 0 7.653 * * [simplify]: Extracting #1: cost 35 inf + 0 7.654 * * [simplify]: Extracting #2: cost 194 inf + 3 7.657 * * [simplify]: Extracting #3: cost 274 inf + 832 7.662 * * [simplify]: Extracting #4: cost 221 inf + 8246 7.673 * * [simplify]: Extracting #5: cost 126 inf + 51172 7.685 * * [simplify]: Extracting #6: cost 9 inf + 120729 7.702 * * [simplify]: Extracting #7: cost 0 inf + 124444 7.723 * [simplify]: Simplified to (- (- 1/2 (/ (/ -1/4 x) (* x x))) (/ 1/2 x)) 7.723 * [simplify]: Simplified (2 2 1) to (λ (x) (- 1 (sqrt (- (- 1/2 (/ (/ -1/4 x) (* x x))) (/ 1/2 x))))) 7.723 * * * [progress]: adding candidates to table 8.857 * * [progress]: iteration 2 / 4 8.857 * * * [progress]: picking best candidate 8.887 * * * * [pick]: Picked # 8.887 * * * [progress]: localizing error 8.939 * * * [progress]: generating rewritten candidates 8.939 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 9.002 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 9.038 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 9.150 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1) 9.162 * * * [progress]: generating series expansions 9.162 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 9.162 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 9.163 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in (x) around 0 9.163 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 9.163 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 9.163 * [taylor]: Taking taylor expansion of 1/2 in x 9.163 * [backup-simplify]: Simplify 1/2 into 1/2 9.163 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 9.163 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.163 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.163 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.163 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.163 * [taylor]: Taking taylor expansion of 1 in x 9.163 * [backup-simplify]: Simplify 1 into 1 9.163 * [taylor]: Taking taylor expansion of 1 in x 9.163 * [backup-simplify]: Simplify 1 into 1 9.163 * [taylor]: Taking taylor expansion of (* x x) in x 9.163 * [taylor]: Taking taylor expansion of x in x 9.163 * [backup-simplify]: Simplify 0 into 0 9.163 * [backup-simplify]: Simplify 1 into 1 9.163 * [taylor]: Taking taylor expansion of x in x 9.163 * [backup-simplify]: Simplify 0 into 0 9.163 * [backup-simplify]: Simplify 1 into 1 9.164 * [backup-simplify]: Simplify (* 1 1) into 1 9.164 * [backup-simplify]: Simplify (* 0 0) into 0 9.165 * [backup-simplify]: Simplify (+ 1 0) into 1 9.165 * [backup-simplify]: Simplify (sqrt 1) into 1 9.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.167 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.167 * [backup-simplify]: Simplify (+ 0 0) into 0 9.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.168 * [backup-simplify]: Simplify (/ 1 1) into 1 9.168 * [taylor]: Taking taylor expansion of 1/2 in x 9.168 * [backup-simplify]: Simplify 1/2 into 1/2 9.168 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 9.168 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 9.168 * [taylor]: Taking taylor expansion of 1/2 in x 9.168 * [backup-simplify]: Simplify 1/2 into 1/2 9.168 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 9.169 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.169 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.169 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.169 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.169 * [taylor]: Taking taylor expansion of 1 in x 9.169 * [backup-simplify]: Simplify 1 into 1 9.169 * [taylor]: Taking taylor expansion of 1 in x 9.169 * [backup-simplify]: Simplify 1 into 1 9.169 * [taylor]: Taking taylor expansion of (* x x) in x 9.169 * [taylor]: Taking taylor expansion of x in x 9.169 * [backup-simplify]: Simplify 0 into 0 9.169 * [backup-simplify]: Simplify 1 into 1 9.169 * [taylor]: Taking taylor expansion of x in x 9.169 * [backup-simplify]: Simplify 0 into 0 9.169 * [backup-simplify]: Simplify 1 into 1 9.169 * [backup-simplify]: Simplify (* 1 1) into 1 9.170 * [backup-simplify]: Simplify (* 0 0) into 0 9.170 * [backup-simplify]: Simplify (+ 1 0) into 1 9.170 * [backup-simplify]: Simplify (sqrt 1) into 1 9.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.172 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.172 * [backup-simplify]: Simplify (+ 0 0) into 0 9.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.174 * [backup-simplify]: Simplify (/ 1 1) into 1 9.174 * [taylor]: Taking taylor expansion of 1/2 in x 9.174 * [backup-simplify]: Simplify 1/2 into 1/2 9.174 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.175 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 9.175 * [backup-simplify]: Simplify 1 into 1 9.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.176 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.177 * [backup-simplify]: Simplify (+ 0 0) into 0 9.177 * [backup-simplify]: Simplify 0 into 0 9.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.178 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 9.179 * [backup-simplify]: Simplify (+ 0 1) into 1 9.180 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 9.182 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 9.183 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 9.183 * [backup-simplify]: Simplify -1/4 into -1/4 9.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.185 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 9.186 * [backup-simplify]: Simplify (+ 0 0) into 0 9.187 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 9.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 9.190 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 9.190 * [backup-simplify]: Simplify (+ 0 0) into 0 9.190 * [backup-simplify]: Simplify 0 into 0 9.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.193 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.193 * [backup-simplify]: Simplify (+ 0 0) into 0 9.195 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 9.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 9.198 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 9.199 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 9.199 * [backup-simplify]: Simplify 3/16 into 3/16 9.199 * [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))) 9.199 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2))) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 9.199 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in (x) around 0 9.199 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 9.199 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 9.199 * [taylor]: Taking taylor expansion of 1/2 in x 9.199 * [backup-simplify]: Simplify 1/2 into 1/2 9.199 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 9.199 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.200 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.200 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.200 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.200 * [taylor]: Taking taylor expansion of 1 in x 9.200 * [backup-simplify]: Simplify 1 into 1 9.200 * [taylor]: Taking taylor expansion of 1 in x 9.200 * [backup-simplify]: Simplify 1 into 1 9.200 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.200 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.200 * [taylor]: Taking taylor expansion of x in x 9.200 * [backup-simplify]: Simplify 0 into 0 9.200 * [backup-simplify]: Simplify 1 into 1 9.200 * [backup-simplify]: Simplify (/ 1 1) into 1 9.200 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.200 * [taylor]: Taking taylor expansion of x in x 9.200 * [backup-simplify]: Simplify 0 into 0 9.200 * [backup-simplify]: Simplify 1 into 1 9.201 * [backup-simplify]: Simplify (/ 1 1) into 1 9.201 * [backup-simplify]: Simplify (* 1 1) into 1 9.202 * [backup-simplify]: Simplify (+ 0 1) into 1 9.202 * [backup-simplify]: Simplify (sqrt 1) into 1 9.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.205 * [backup-simplify]: Simplify (+ 0 0) into 0 9.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.206 * [backup-simplify]: Simplify (/ 1 1) into 1 9.206 * [taylor]: Taking taylor expansion of 1/2 in x 9.206 * [backup-simplify]: Simplify 1/2 into 1/2 9.206 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 9.206 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 9.206 * [taylor]: Taking taylor expansion of 1/2 in x 9.206 * [backup-simplify]: Simplify 1/2 into 1/2 9.206 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 9.206 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.206 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.206 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.206 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.206 * [taylor]: Taking taylor expansion of 1 in x 9.206 * [backup-simplify]: Simplify 1 into 1 9.206 * [taylor]: Taking taylor expansion of 1 in x 9.206 * [backup-simplify]: Simplify 1 into 1 9.206 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.206 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.206 * [taylor]: Taking taylor expansion of x in x 9.206 * [backup-simplify]: Simplify 0 into 0 9.206 * [backup-simplify]: Simplify 1 into 1 9.207 * [backup-simplify]: Simplify (/ 1 1) into 1 9.207 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.207 * [taylor]: Taking taylor expansion of x in x 9.207 * [backup-simplify]: Simplify 0 into 0 9.207 * [backup-simplify]: Simplify 1 into 1 9.207 * [backup-simplify]: Simplify (/ 1 1) into 1 9.208 * [backup-simplify]: Simplify (* 1 1) into 1 9.208 * [backup-simplify]: Simplify (+ 0 1) into 1 9.209 * [backup-simplify]: Simplify (sqrt 1) into 1 9.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.211 * [backup-simplify]: Simplify (+ 0 0) into 0 9.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.212 * [backup-simplify]: Simplify (/ 1 1) into 1 9.212 * [taylor]: Taking taylor expansion of 1/2 in x 9.212 * [backup-simplify]: Simplify 1/2 into 1/2 9.213 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.213 * [backup-simplify]: Simplify 1/2 into 1/2 9.213 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.214 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.214 * [backup-simplify]: Simplify 1/2 into 1/2 9.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.215 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.215 * [backup-simplify]: Simplify (+ 0 0) into 0 9.215 * [backup-simplify]: Simplify 0 into 0 9.216 * [backup-simplify]: Simplify (* 1 1) into 1 9.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.219 * [backup-simplify]: Simplify (+ 1 0) into 1 9.220 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 9.222 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 9.222 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 9.223 * [backup-simplify]: Simplify -1/4 into -1/4 9.223 * [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)))) 9.223 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2))) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 9.223 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in (x) around 0 9.223 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 9.223 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 9.223 * [taylor]: Taking taylor expansion of 1/2 in x 9.223 * [backup-simplify]: Simplify 1/2 into 1/2 9.223 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 9.223 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.223 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.223 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.224 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.224 * [taylor]: Taking taylor expansion of 1 in x 9.224 * [backup-simplify]: Simplify 1 into 1 9.224 * [taylor]: Taking taylor expansion of 1 in x 9.224 * [backup-simplify]: Simplify 1 into 1 9.224 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.224 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.224 * [taylor]: Taking taylor expansion of -1 in x 9.224 * [backup-simplify]: Simplify -1 into -1 9.224 * [taylor]: Taking taylor expansion of x in x 9.224 * [backup-simplify]: Simplify 0 into 0 9.224 * [backup-simplify]: Simplify 1 into 1 9.224 * [backup-simplify]: Simplify (/ -1 1) into -1 9.224 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.224 * [taylor]: Taking taylor expansion of -1 in x 9.225 * [backup-simplify]: Simplify -1 into -1 9.225 * [taylor]: Taking taylor expansion of x in x 9.225 * [backup-simplify]: Simplify 0 into 0 9.225 * [backup-simplify]: Simplify 1 into 1 9.225 * [backup-simplify]: Simplify (/ -1 1) into -1 9.225 * [backup-simplify]: Simplify (* -1 -1) into 1 9.226 * [backup-simplify]: Simplify (+ 0 1) into 1 9.226 * [backup-simplify]: Simplify (sqrt 1) into 1 9.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.228 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.228 * [backup-simplify]: Simplify (+ 0 0) into 0 9.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.229 * [backup-simplify]: Simplify (/ 1 1) into 1 9.229 * [taylor]: Taking taylor expansion of 1/2 in x 9.229 * [backup-simplify]: Simplify 1/2 into 1/2 9.229 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 9.229 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 9.229 * [taylor]: Taking taylor expansion of 1/2 in x 9.229 * [backup-simplify]: Simplify 1/2 into 1/2 9.229 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 9.229 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.229 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.229 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.229 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.229 * [taylor]: Taking taylor expansion of 1 in x 9.229 * [backup-simplify]: Simplify 1 into 1 9.229 * [taylor]: Taking taylor expansion of 1 in x 9.229 * [backup-simplify]: Simplify 1 into 1 9.229 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.229 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.229 * [taylor]: Taking taylor expansion of -1 in x 9.229 * [backup-simplify]: Simplify -1 into -1 9.229 * [taylor]: Taking taylor expansion of x in x 9.229 * [backup-simplify]: Simplify 0 into 0 9.229 * [backup-simplify]: Simplify 1 into 1 9.229 * [backup-simplify]: Simplify (/ -1 1) into -1 9.229 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.229 * [taylor]: Taking taylor expansion of -1 in x 9.229 * [backup-simplify]: Simplify -1 into -1 9.230 * [taylor]: Taking taylor expansion of x in x 9.230 * [backup-simplify]: Simplify 0 into 0 9.230 * [backup-simplify]: Simplify 1 into 1 9.230 * [backup-simplify]: Simplify (/ -1 1) into -1 9.230 * [backup-simplify]: Simplify (* -1 -1) into 1 9.230 * [backup-simplify]: Simplify (+ 0 1) into 1 9.231 * [backup-simplify]: Simplify (sqrt 1) into 1 9.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.232 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.232 * [backup-simplify]: Simplify (+ 0 0) into 0 9.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.233 * [backup-simplify]: Simplify (/ 1 1) into 1 9.233 * [taylor]: Taking taylor expansion of 1/2 in x 9.233 * [backup-simplify]: Simplify 1/2 into 1/2 9.233 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.233 * [backup-simplify]: Simplify 1/2 into 1/2 9.233 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.234 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.234 * [backup-simplify]: Simplify 1/2 into 1/2 9.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.234 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.235 * [backup-simplify]: Simplify (+ 0 0) into 0 9.235 * [backup-simplify]: Simplify 0 into 0 9.235 * [backup-simplify]: Simplify (* 1 1) into 1 9.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.237 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 9.237 * [backup-simplify]: Simplify (+ 1 0) into 1 9.237 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 9.239 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 9.239 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 9.239 * [backup-simplify]: Simplify -1/4 into -1/4 9.239 * [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))) 9.239 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 9.239 * [backup-simplify]: Simplify (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 9.239 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in (x) around 0 9.239 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 9.240 * [taylor]: Taking taylor expansion of 1/2 in x 9.240 * [backup-simplify]: Simplify 1/2 into 1/2 9.240 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 9.240 * [taylor]: Taking taylor expansion of 1/2 in x 9.240 * [backup-simplify]: Simplify 1/2 into 1/2 9.240 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 9.240 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.240 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.240 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.240 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.240 * [taylor]: Taking taylor expansion of 1 in x 9.240 * [backup-simplify]: Simplify 1 into 1 9.240 * [taylor]: Taking taylor expansion of 1 in x 9.240 * [backup-simplify]: Simplify 1 into 1 9.240 * [taylor]: Taking taylor expansion of (* x x) in x 9.240 * [taylor]: Taking taylor expansion of x in x 9.240 * [backup-simplify]: Simplify 0 into 0 9.240 * [backup-simplify]: Simplify 1 into 1 9.240 * [taylor]: Taking taylor expansion of x in x 9.240 * [backup-simplify]: Simplify 0 into 0 9.240 * [backup-simplify]: Simplify 1 into 1 9.240 * [backup-simplify]: Simplify (* 1 1) into 1 9.240 * [backup-simplify]: Simplify (* 0 0) into 0 9.241 * [backup-simplify]: Simplify (+ 1 0) into 1 9.241 * [backup-simplify]: Simplify (sqrt 1) into 1 9.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.241 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.242 * [backup-simplify]: Simplify (+ 0 0) into 0 9.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.242 * [backup-simplify]: Simplify (/ 1 1) into 1 9.242 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 9.242 * [taylor]: Taking taylor expansion of 1/2 in x 9.242 * [backup-simplify]: Simplify 1/2 into 1/2 9.242 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 9.242 * [taylor]: Taking taylor expansion of 1/2 in x 9.242 * [backup-simplify]: Simplify 1/2 into 1/2 9.242 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 9.242 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.243 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.243 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.243 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.243 * [taylor]: Taking taylor expansion of 1 in x 9.243 * [backup-simplify]: Simplify 1 into 1 9.243 * [taylor]: Taking taylor expansion of 1 in x 9.243 * [backup-simplify]: Simplify 1 into 1 9.243 * [taylor]: Taking taylor expansion of (* x x) in x 9.243 * [taylor]: Taking taylor expansion of x in x 9.243 * [backup-simplify]: Simplify 0 into 0 9.243 * [backup-simplify]: Simplify 1 into 1 9.243 * [taylor]: Taking taylor expansion of x in x 9.243 * [backup-simplify]: Simplify 0 into 0 9.243 * [backup-simplify]: Simplify 1 into 1 9.243 * [backup-simplify]: Simplify (* 1 1) into 1 9.243 * [backup-simplify]: Simplify (* 0 0) into 0 9.243 * [backup-simplify]: Simplify (+ 1 0) into 1 9.244 * [backup-simplify]: Simplify (sqrt 1) into 1 9.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.244 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.245 * [backup-simplify]: Simplify (+ 0 0) into 0 9.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.245 * [backup-simplify]: Simplify (/ 1 1) into 1 9.246 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.246 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.246 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 9.246 * [backup-simplify]: Simplify 0 into 0 9.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.247 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.247 * [backup-simplify]: Simplify (- 0) into 0 9.247 * [backup-simplify]: Simplify (+ 0 0) into 0 9.247 * [backup-simplify]: Simplify 0 into 0 9.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.248 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 9.249 * [backup-simplify]: Simplify (+ 0 1) into 1 9.249 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 9.250 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 9.251 * [backup-simplify]: Simplify (- -1/4) into 1/4 9.251 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 9.251 * [backup-simplify]: Simplify 1/4 into 1/4 9.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.252 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 9.252 * [backup-simplify]: Simplify (+ 0 0) into 0 9.253 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 9.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 9.255 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 9.255 * [backup-simplify]: Simplify (- 0) into 0 9.255 * [backup-simplify]: Simplify (+ 0 0) into 0 9.256 * [backup-simplify]: Simplify 0 into 0 9.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.258 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.258 * [backup-simplify]: Simplify (+ 0 0) into 0 9.263 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 9.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 9.267 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 9.267 * [backup-simplify]: Simplify (- 3/16) into -3/16 9.268 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 9.268 * [backup-simplify]: Simplify -3/16 into -3/16 9.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.271 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 9.271 * [backup-simplify]: Simplify (+ 0 0) into 0 9.272 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 9.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 9.275 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 9.275 * [backup-simplify]: Simplify (- 0) into 0 9.275 * [backup-simplify]: Simplify (+ 0 0) into 0 9.275 * [backup-simplify]: Simplify 0 into 0 9.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.277 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 9.277 * [backup-simplify]: Simplify (+ 0 0) into 0 9.278 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 9.279 * [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 9.281 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 9.281 * [backup-simplify]: Simplify (- -5/32) into 5/32 9.281 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 9.281 * [backup-simplify]: Simplify 5/32 into 5/32 9.281 * [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))) 9.282 * [backup-simplify]: Simplify (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 9.282 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0 9.282 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 9.282 * [taylor]: Taking taylor expansion of 1/2 in x 9.282 * [backup-simplify]: Simplify 1/2 into 1/2 9.282 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 9.282 * [taylor]: Taking taylor expansion of 1/2 in x 9.282 * [backup-simplify]: Simplify 1/2 into 1/2 9.282 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 9.282 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.282 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.282 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.282 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.282 * [taylor]: Taking taylor expansion of 1 in x 9.282 * [backup-simplify]: Simplify 1 into 1 9.282 * [taylor]: Taking taylor expansion of 1 in x 9.282 * [backup-simplify]: Simplify 1 into 1 9.282 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.282 * [taylor]: Taking taylor expansion of x in x 9.282 * [backup-simplify]: Simplify 0 into 0 9.282 * [backup-simplify]: Simplify 1 into 1 9.283 * [backup-simplify]: Simplify (/ 1 1) into 1 9.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.283 * [taylor]: Taking taylor expansion of x in x 9.283 * [backup-simplify]: Simplify 0 into 0 9.283 * [backup-simplify]: Simplify 1 into 1 9.283 * [backup-simplify]: Simplify (/ 1 1) into 1 9.283 * [backup-simplify]: Simplify (* 1 1) into 1 9.283 * [backup-simplify]: Simplify (+ 0 1) into 1 9.284 * [backup-simplify]: Simplify (sqrt 1) into 1 9.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.285 * [backup-simplify]: Simplify (+ 0 0) into 0 9.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.286 * [backup-simplify]: Simplify (/ 1 1) into 1 9.286 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 9.286 * [taylor]: Taking taylor expansion of 1/2 in x 9.286 * [backup-simplify]: Simplify 1/2 into 1/2 9.286 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 9.286 * [taylor]: Taking taylor expansion of 1/2 in x 9.286 * [backup-simplify]: Simplify 1/2 into 1/2 9.286 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 9.286 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.286 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.286 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.286 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.286 * [taylor]: Taking taylor expansion of 1 in x 9.286 * [backup-simplify]: Simplify 1 into 1 9.286 * [taylor]: Taking taylor expansion of 1 in x 9.286 * [backup-simplify]: Simplify 1 into 1 9.286 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.286 * [taylor]: Taking taylor expansion of x in x 9.286 * [backup-simplify]: Simplify 0 into 0 9.286 * [backup-simplify]: Simplify 1 into 1 9.286 * [backup-simplify]: Simplify (/ 1 1) into 1 9.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.286 * [taylor]: Taking taylor expansion of x in x 9.286 * [backup-simplify]: Simplify 0 into 0 9.286 * [backup-simplify]: Simplify 1 into 1 9.287 * [backup-simplify]: Simplify (/ 1 1) into 1 9.287 * [backup-simplify]: Simplify (* 1 1) into 1 9.287 * [backup-simplify]: Simplify (+ 0 1) into 1 9.287 * [backup-simplify]: Simplify (sqrt 1) into 1 9.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.289 * [backup-simplify]: Simplify (+ 0 0) into 0 9.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.289 * [backup-simplify]: Simplify (/ 1 1) into 1 9.290 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.290 * [backup-simplify]: Simplify 1/2 into 1/2 9.290 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.290 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.290 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 9.290 * [backup-simplify]: Simplify -1/2 into -1/2 9.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.291 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.292 * [backup-simplify]: Simplify (- 0) into 0 9.292 * [backup-simplify]: Simplify (+ 0 0) into 0 9.292 * [backup-simplify]: Simplify 0 into 0 9.292 * [backup-simplify]: Simplify (* 1 1) into 1 9.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.294 * [backup-simplify]: Simplify (+ 1 0) into 1 9.294 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 9.296 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 9.296 * [backup-simplify]: Simplify (- -1/4) into 1/4 9.296 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 9.296 * [backup-simplify]: Simplify 1/4 into 1/4 9.296 * [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))) 9.297 * [backup-simplify]: Simplify (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 9.297 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in (x) around 0 9.297 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 9.297 * [taylor]: Taking taylor expansion of 1/2 in x 9.297 * [backup-simplify]: Simplify 1/2 into 1/2 9.297 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 9.297 * [taylor]: Taking taylor expansion of 1/2 in x 9.297 * [backup-simplify]: Simplify 1/2 into 1/2 9.297 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 9.297 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.297 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.297 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.297 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.297 * [taylor]: Taking taylor expansion of 1 in x 9.297 * [backup-simplify]: Simplify 1 into 1 9.297 * [taylor]: Taking taylor expansion of 1 in x 9.297 * [backup-simplify]: Simplify 1 into 1 9.297 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.297 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.297 * [taylor]: Taking taylor expansion of -1 in x 9.297 * [backup-simplify]: Simplify -1 into -1 9.297 * [taylor]: Taking taylor expansion of x in x 9.297 * [backup-simplify]: Simplify 0 into 0 9.297 * [backup-simplify]: Simplify 1 into 1 9.297 * [backup-simplify]: Simplify (/ -1 1) into -1 9.297 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.297 * [taylor]: Taking taylor expansion of -1 in x 9.298 * [backup-simplify]: Simplify -1 into -1 9.298 * [taylor]: Taking taylor expansion of x in x 9.298 * [backup-simplify]: Simplify 0 into 0 9.298 * [backup-simplify]: Simplify 1 into 1 9.298 * [backup-simplify]: Simplify (/ -1 1) into -1 9.298 * [backup-simplify]: Simplify (* -1 -1) into 1 9.298 * [backup-simplify]: Simplify (+ 0 1) into 1 9.299 * [backup-simplify]: Simplify (sqrt 1) into 1 9.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.300 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.301 * [backup-simplify]: Simplify (+ 0 0) into 0 9.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.302 * [backup-simplify]: Simplify (/ 1 1) into 1 9.302 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 9.302 * [taylor]: Taking taylor expansion of 1/2 in x 9.302 * [backup-simplify]: Simplify 1/2 into 1/2 9.302 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 9.302 * [taylor]: Taking taylor expansion of 1/2 in x 9.302 * [backup-simplify]: Simplify 1/2 into 1/2 9.302 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 9.302 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.303 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.303 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.303 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.303 * [taylor]: Taking taylor expansion of 1 in x 9.303 * [backup-simplify]: Simplify 1 into 1 9.303 * [taylor]: Taking taylor expansion of 1 in x 9.303 * [backup-simplify]: Simplify 1 into 1 9.303 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.303 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.303 * [taylor]: Taking taylor expansion of -1 in x 9.303 * [backup-simplify]: Simplify -1 into -1 9.303 * [taylor]: Taking taylor expansion of x in x 9.303 * [backup-simplify]: Simplify 0 into 0 9.303 * [backup-simplify]: Simplify 1 into 1 9.303 * [backup-simplify]: Simplify (/ -1 1) into -1 9.303 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.303 * [taylor]: Taking taylor expansion of -1 in x 9.303 * [backup-simplify]: Simplify -1 into -1 9.303 * [taylor]: Taking taylor expansion of x in x 9.304 * [backup-simplify]: Simplify 0 into 0 9.304 * [backup-simplify]: Simplify 1 into 1 9.304 * [backup-simplify]: Simplify (/ -1 1) into -1 9.304 * [backup-simplify]: Simplify (* -1 -1) into 1 9.305 * [backup-simplify]: Simplify (+ 0 1) into 1 9.305 * [backup-simplify]: Simplify (sqrt 1) into 1 9.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.307 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.308 * [backup-simplify]: Simplify (+ 0 0) into 0 9.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.309 * [backup-simplify]: Simplify (/ 1 1) into 1 9.309 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.309 * [backup-simplify]: Simplify 1/2 into 1/2 9.310 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.310 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.311 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 9.311 * [backup-simplify]: Simplify -1/2 into -1/2 9.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.312 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.313 * [backup-simplify]: Simplify (- 0) into 0 9.313 * [backup-simplify]: Simplify (+ 0 0) into 0 9.313 * [backup-simplify]: Simplify 0 into 0 9.314 * [backup-simplify]: Simplify (* 1 1) into 1 9.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.317 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 9.317 * [backup-simplify]: Simplify (+ 1 0) into 1 9.318 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 9.320 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 9.320 * [backup-simplify]: Simplify (- -1/4) into 1/4 9.320 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 9.320 * [backup-simplify]: Simplify 1/4 into 1/4 9.321 * [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)))) 9.321 * * * * [progress]: [ 3 / 4 ] generating series at (2) 9.321 * [backup-simplify]: Simplify (/ (- (* 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)))) into (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) 9.321 * [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 9.321 * [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 9.321 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 9.321 * [taylor]: Taking taylor expansion of 1/2 in x 9.321 * [backup-simplify]: Simplify 1/2 into 1/2 9.321 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 9.321 * [taylor]: Taking taylor expansion of 1/2 in x 9.321 * [backup-simplify]: Simplify 1/2 into 1/2 9.321 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 9.321 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.321 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.321 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.321 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.321 * [taylor]: Taking taylor expansion of 1 in x 9.321 * [backup-simplify]: Simplify 1 into 1 9.321 * [taylor]: Taking taylor expansion of 1 in x 9.321 * [backup-simplify]: Simplify 1 into 1 9.321 * [taylor]: Taking taylor expansion of (* x x) in x 9.321 * [taylor]: Taking taylor expansion of x in x 9.321 * [backup-simplify]: Simplify 0 into 0 9.321 * [backup-simplify]: Simplify 1 into 1 9.321 * [taylor]: Taking taylor expansion of x in x 9.321 * [backup-simplify]: Simplify 0 into 0 9.321 * [backup-simplify]: Simplify 1 into 1 9.322 * [backup-simplify]: Simplify (* 1 1) into 1 9.322 * [backup-simplify]: Simplify (* 0 0) into 0 9.322 * [backup-simplify]: Simplify (+ 1 0) into 1 9.322 * [backup-simplify]: Simplify (sqrt 1) into 1 9.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.323 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.323 * [backup-simplify]: Simplify (+ 0 0) into 0 9.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.324 * [backup-simplify]: Simplify (/ 1 1) into 1 9.324 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 9.324 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 9.324 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 9.324 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 9.324 * [taylor]: Taking taylor expansion of 1/2 in x 9.324 * [backup-simplify]: Simplify 1/2 into 1/2 9.324 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 9.324 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.324 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.324 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.324 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.324 * [taylor]: Taking taylor expansion of 1 in x 9.324 * [backup-simplify]: Simplify 1 into 1 9.324 * [taylor]: Taking taylor expansion of 1 in x 9.324 * [backup-simplify]: Simplify 1 into 1 9.324 * [taylor]: Taking taylor expansion of (* x x) in x 9.324 * [taylor]: Taking taylor expansion of x in x 9.324 * [backup-simplify]: Simplify 0 into 0 9.324 * [backup-simplify]: Simplify 1 into 1 9.324 * [taylor]: Taking taylor expansion of x in x 9.324 * [backup-simplify]: Simplify 0 into 0 9.324 * [backup-simplify]: Simplify 1 into 1 9.325 * [backup-simplify]: Simplify (* 1 1) into 1 9.325 * [backup-simplify]: Simplify (* 0 0) into 0 9.325 * [backup-simplify]: Simplify (+ 1 0) into 1 9.325 * [backup-simplify]: Simplify (sqrt 1) into 1 9.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.326 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.326 * [backup-simplify]: Simplify (+ 0 0) into 0 9.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.327 * [backup-simplify]: Simplify (/ 1 1) into 1 9.327 * [taylor]: Taking taylor expansion of 1/2 in x 9.327 * [backup-simplify]: Simplify 1/2 into 1/2 9.327 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.327 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 9.328 * [backup-simplify]: Simplify (sqrt 1) into 1 9.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.328 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.329 * [backup-simplify]: Simplify (+ 0 0) into 0 9.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.329 * [taylor]: Taking taylor expansion of 1 in x 9.329 * [backup-simplify]: Simplify 1 into 1 9.329 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.330 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.330 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 9.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.331 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.331 * [backup-simplify]: Simplify (- 0) into 0 9.331 * [backup-simplify]: Simplify (+ 0 0) into 0 9.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.332 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 9.333 * [backup-simplify]: Simplify (+ 0 1) into 1 9.333 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 9.334 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 9.335 * [backup-simplify]: Simplify (- -1/4) into 1/4 9.335 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 9.335 * [backup-simplify]: Simplify (+ 1 1) into 2 9.335 * [backup-simplify]: Simplify (/ 1/4 2) into 1/8 9.335 * [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 9.335 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 9.335 * [taylor]: Taking taylor expansion of 1/2 in x 9.336 * [backup-simplify]: Simplify 1/2 into 1/2 9.336 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 9.336 * [taylor]: Taking taylor expansion of 1/2 in x 9.336 * [backup-simplify]: Simplify 1/2 into 1/2 9.336 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 9.336 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.336 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.336 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.336 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.336 * [taylor]: Taking taylor expansion of 1 in x 9.336 * [backup-simplify]: Simplify 1 into 1 9.336 * [taylor]: Taking taylor expansion of 1 in x 9.336 * [backup-simplify]: Simplify 1 into 1 9.336 * [taylor]: Taking taylor expansion of (* x x) in x 9.336 * [taylor]: Taking taylor expansion of x in x 9.336 * [backup-simplify]: Simplify 0 into 0 9.336 * [backup-simplify]: Simplify 1 into 1 9.336 * [taylor]: Taking taylor expansion of x in x 9.336 * [backup-simplify]: Simplify 0 into 0 9.336 * [backup-simplify]: Simplify 1 into 1 9.336 * [backup-simplify]: Simplify (* 1 1) into 1 9.336 * [backup-simplify]: Simplify (* 0 0) into 0 9.337 * [backup-simplify]: Simplify (+ 1 0) into 1 9.337 * [backup-simplify]: Simplify (sqrt 1) into 1 9.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.337 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.338 * [backup-simplify]: Simplify (+ 0 0) into 0 9.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.338 * [backup-simplify]: Simplify (/ 1 1) into 1 9.338 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 9.338 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 9.338 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 9.338 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 9.338 * [taylor]: Taking taylor expansion of 1/2 in x 9.338 * [backup-simplify]: Simplify 1/2 into 1/2 9.338 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 9.338 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.339 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.339 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.339 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.339 * [taylor]: Taking taylor expansion of 1 in x 9.339 * [backup-simplify]: Simplify 1 into 1 9.339 * [taylor]: Taking taylor expansion of 1 in x 9.339 * [backup-simplify]: Simplify 1 into 1 9.339 * [taylor]: Taking taylor expansion of (* x x) in x 9.339 * [taylor]: Taking taylor expansion of x in x 9.339 * [backup-simplify]: Simplify 0 into 0 9.339 * [backup-simplify]: Simplify 1 into 1 9.339 * [taylor]: Taking taylor expansion of x in x 9.339 * [backup-simplify]: Simplify 0 into 0 9.339 * [backup-simplify]: Simplify 1 into 1 9.339 * [backup-simplify]: Simplify (* 1 1) into 1 9.339 * [backup-simplify]: Simplify (* 0 0) into 0 9.339 * [backup-simplify]: Simplify (+ 1 0) into 1 9.340 * [backup-simplify]: Simplify (sqrt 1) into 1 9.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.340 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.341 * [backup-simplify]: Simplify (+ 0 0) into 0 9.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.341 * [backup-simplify]: Simplify (/ 1 1) into 1 9.342 * [taylor]: Taking taylor expansion of 1/2 in x 9.342 * [backup-simplify]: Simplify 1/2 into 1/2 9.342 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.342 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 9.342 * [backup-simplify]: Simplify (sqrt 1) into 1 9.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.343 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.344 * [backup-simplify]: Simplify (+ 0 0) into 0 9.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.344 * [taylor]: Taking taylor expansion of 1 in x 9.344 * [backup-simplify]: Simplify 1 into 1 9.344 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.345 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.345 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 9.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.346 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.346 * [backup-simplify]: Simplify (- 0) into 0 9.346 * [backup-simplify]: Simplify (+ 0 0) into 0 9.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.347 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 9.347 * [backup-simplify]: Simplify (+ 0 1) into 1 9.348 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 9.351 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 9.351 * [backup-simplify]: Simplify (- -1/4) into 1/4 9.351 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 9.352 * [backup-simplify]: Simplify (+ 1 1) into 2 9.352 * [backup-simplify]: Simplify (/ 1/4 2) into 1/8 9.352 * [backup-simplify]: Simplify 1/8 into 1/8 9.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.355 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 9.355 * [backup-simplify]: Simplify (+ 0 0) into 0 9.356 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 9.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 9.359 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 9.359 * [backup-simplify]: Simplify (- 0) into 0 9.360 * [backup-simplify]: Simplify (+ 0 0) into 0 9.360 * [backup-simplify]: Simplify (+ 0 0) into 0 9.361 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/8 (/ 0 2)))) into 0 9.361 * [backup-simplify]: Simplify 0 into 0 9.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.363 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.363 * [backup-simplify]: Simplify (+ 0 0) into 0 9.366 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 9.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 9.368 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 9.368 * [backup-simplify]: Simplify (- 3/16) into -3/16 9.368 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 9.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.369 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 9.370 * [backup-simplify]: Simplify (+ 0 1) into 1 9.370 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 9.371 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 9.372 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 9.372 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 9.373 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 9.373 * [backup-simplify]: Simplify (- (/ -3/16 2) (+ (* 1/8 (/ -1/8 2)) (* 0 (/ 0 2)))) into -11/128 9.373 * [backup-simplify]: Simplify -11/128 into -11/128 9.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.375 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 9.375 * [backup-simplify]: Simplify (+ 0 0) into 0 9.376 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 9.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 9.378 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 9.379 * [backup-simplify]: Simplify (- 0) into 0 9.379 * [backup-simplify]: Simplify (+ 0 0) into 0 9.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.380 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 9.380 * [backup-simplify]: Simplify (+ 0 0) into 0 9.381 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 9.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 9.382 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 9.383 * [backup-simplify]: Simplify (+ 0 0) into 0 9.383 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 9.384 * [backup-simplify]: Simplify (+ 0 0) into 0 9.385 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/8 (/ 0 2)) (* 0 (/ -1/8 2)) (* -11/128 (/ 0 2)))) into 0 9.385 * [backup-simplify]: Simplify 0 into 0 9.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.386 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 9.386 * [backup-simplify]: Simplify (+ 0 0) into 0 9.387 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 9.389 * [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 9.390 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 9.390 * [backup-simplify]: Simplify (- -5/32) into 5/32 9.391 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 9.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.392 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.393 * [backup-simplify]: Simplify (+ 0 0) into 0 9.394 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 9.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 9.398 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 9.398 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 9.400 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 9.400 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 9.402 * [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 9.403 * [backup-simplify]: Simplify 69/1024 into 69/1024 9.403 * [backup-simplify]: Simplify (+ (* 69/1024 (pow x 6)) (+ (* -11/128 (pow x 4)) (* 1/8 (pow x 2)))) into (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) 9.404 * [backup-simplify]: Simplify (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)))) (+ 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)) 9.404 * [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 9.404 * [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 9.404 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 9.404 * [taylor]: Taking taylor expansion of 1/2 in x 9.404 * [backup-simplify]: Simplify 1/2 into 1/2 9.404 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 9.404 * [taylor]: Taking taylor expansion of 1/2 in x 9.404 * [backup-simplify]: Simplify 1/2 into 1/2 9.404 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 9.404 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.405 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.405 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.405 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.405 * [taylor]: Taking taylor expansion of 1 in x 9.405 * [backup-simplify]: Simplify 1 into 1 9.405 * [taylor]: Taking taylor expansion of 1 in x 9.405 * [backup-simplify]: Simplify 1 into 1 9.405 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.405 * [taylor]: Taking taylor expansion of x in x 9.405 * [backup-simplify]: Simplify 0 into 0 9.405 * [backup-simplify]: Simplify 1 into 1 9.405 * [backup-simplify]: Simplify (/ 1 1) into 1 9.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.405 * [taylor]: Taking taylor expansion of x in x 9.405 * [backup-simplify]: Simplify 0 into 0 9.406 * [backup-simplify]: Simplify 1 into 1 9.406 * [backup-simplify]: Simplify (/ 1 1) into 1 9.406 * [backup-simplify]: Simplify (* 1 1) into 1 9.407 * [backup-simplify]: Simplify (+ 0 1) into 1 9.407 * [backup-simplify]: Simplify (sqrt 1) into 1 9.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.410 * [backup-simplify]: Simplify (+ 0 0) into 0 9.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.411 * [backup-simplify]: Simplify (/ 1 1) into 1 9.411 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 9.411 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 9.411 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 9.411 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 9.411 * [taylor]: Taking taylor expansion of 1/2 in x 9.411 * [backup-simplify]: Simplify 1/2 into 1/2 9.411 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 9.411 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.411 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.411 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.411 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.411 * [taylor]: Taking taylor expansion of 1 in x 9.411 * [backup-simplify]: Simplify 1 into 1 9.411 * [taylor]: Taking taylor expansion of 1 in x 9.411 * [backup-simplify]: Simplify 1 into 1 9.411 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.411 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.411 * [taylor]: Taking taylor expansion of x in x 9.411 * [backup-simplify]: Simplify 0 into 0 9.411 * [backup-simplify]: Simplify 1 into 1 9.412 * [backup-simplify]: Simplify (/ 1 1) into 1 9.412 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.412 * [taylor]: Taking taylor expansion of x in x 9.412 * [backup-simplify]: Simplify 0 into 0 9.412 * [backup-simplify]: Simplify 1 into 1 9.412 * [backup-simplify]: Simplify (/ 1 1) into 1 9.413 * [backup-simplify]: Simplify (* 1 1) into 1 9.413 * [backup-simplify]: Simplify (+ 0 1) into 1 9.413 * [backup-simplify]: Simplify (sqrt 1) into 1 9.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.416 * [backup-simplify]: Simplify (+ 0 0) into 0 9.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.417 * [backup-simplify]: Simplify (/ 1 1) into 1 9.417 * [taylor]: Taking taylor expansion of 1/2 in x 9.417 * [backup-simplify]: Simplify 1/2 into 1/2 9.418 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.418 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.419 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.419 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.421 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 9.421 * [taylor]: Taking taylor expansion of 1 in x 9.421 * [backup-simplify]: Simplify 1 into 1 9.421 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.422 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 9.423 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1)) 9.423 * [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 9.423 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 9.423 * [taylor]: Taking taylor expansion of 1/2 in x 9.423 * [backup-simplify]: Simplify 1/2 into 1/2 9.423 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 9.423 * [taylor]: Taking taylor expansion of 1/2 in x 9.423 * [backup-simplify]: Simplify 1/2 into 1/2 9.423 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 9.423 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.424 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.424 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.424 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.424 * [taylor]: Taking taylor expansion of 1 in x 9.424 * [backup-simplify]: Simplify 1 into 1 9.424 * [taylor]: Taking taylor expansion of 1 in x 9.424 * [backup-simplify]: Simplify 1 into 1 9.424 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.424 * [taylor]: Taking taylor expansion of x in x 9.424 * [backup-simplify]: Simplify 0 into 0 9.424 * [backup-simplify]: Simplify 1 into 1 9.424 * [backup-simplify]: Simplify (/ 1 1) into 1 9.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.424 * [taylor]: Taking taylor expansion of x in x 9.424 * [backup-simplify]: Simplify 0 into 0 9.424 * [backup-simplify]: Simplify 1 into 1 9.424 * [backup-simplify]: Simplify (/ 1 1) into 1 9.424 * [backup-simplify]: Simplify (* 1 1) into 1 9.425 * [backup-simplify]: Simplify (+ 0 1) into 1 9.425 * [backup-simplify]: Simplify (sqrt 1) into 1 9.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.426 * [backup-simplify]: Simplify (+ 0 0) into 0 9.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.427 * [backup-simplify]: Simplify (/ 1 1) into 1 9.427 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 9.427 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 9.427 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 9.427 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 9.427 * [taylor]: Taking taylor expansion of 1/2 in x 9.427 * [backup-simplify]: Simplify 1/2 into 1/2 9.427 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 9.427 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.427 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.427 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.427 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.427 * [taylor]: Taking taylor expansion of 1 in x 9.427 * [backup-simplify]: Simplify 1 into 1 9.427 * [taylor]: Taking taylor expansion of 1 in x 9.427 * [backup-simplify]: Simplify 1 into 1 9.427 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.427 * [taylor]: Taking taylor expansion of x in x 9.427 * [backup-simplify]: Simplify 0 into 0 9.427 * [backup-simplify]: Simplify 1 into 1 9.428 * [backup-simplify]: Simplify (/ 1 1) into 1 9.428 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.428 * [taylor]: Taking taylor expansion of x in x 9.428 * [backup-simplify]: Simplify 0 into 0 9.428 * [backup-simplify]: Simplify 1 into 1 9.428 * [backup-simplify]: Simplify (/ 1 1) into 1 9.428 * [backup-simplify]: Simplify (* 1 1) into 1 9.428 * [backup-simplify]: Simplify (+ 0 1) into 1 9.429 * [backup-simplify]: Simplify (sqrt 1) into 1 9.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.430 * [backup-simplify]: Simplify (+ 0 0) into 0 9.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.431 * [backup-simplify]: Simplify (/ 1 1) into 1 9.431 * [taylor]: Taking taylor expansion of 1/2 in x 9.431 * [backup-simplify]: Simplify 1/2 into 1/2 9.431 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.432 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.432 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.432 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.433 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 9.433 * [taylor]: Taking taylor expansion of 1 in x 9.433 * [backup-simplify]: Simplify 1 into 1 9.434 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.434 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 9.435 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1)) 9.436 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1)) 9.436 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.436 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.437 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 9.438 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 9.444 * [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)))))) 9.450 * [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)))))) 9.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.451 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.451 * [backup-simplify]: Simplify (- 0) into 0 9.452 * [backup-simplify]: Simplify (+ 0 0) into 0 9.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.453 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.453 * [backup-simplify]: Simplify (+ 0 0) into 0 9.458 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 9.460 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 9.497 * [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)))))) 9.519 * [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)))))) 9.545 * [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)))))) 9.546 * [backup-simplify]: Simplify (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)))) (+ 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)) 9.546 * [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 9.546 * [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 9.546 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 9.546 * [taylor]: Taking taylor expansion of 1/2 in x 9.546 * [backup-simplify]: Simplify 1/2 into 1/2 9.546 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 9.546 * [taylor]: Taking taylor expansion of 1/2 in x 9.546 * [backup-simplify]: Simplify 1/2 into 1/2 9.546 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 9.546 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.546 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.546 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.546 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.546 * [taylor]: Taking taylor expansion of 1 in x 9.546 * [backup-simplify]: Simplify 1 into 1 9.546 * [taylor]: Taking taylor expansion of 1 in x 9.546 * [backup-simplify]: Simplify 1 into 1 9.546 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.546 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.546 * [taylor]: Taking taylor expansion of -1 in x 9.546 * [backup-simplify]: Simplify -1 into -1 9.546 * [taylor]: Taking taylor expansion of x in x 9.546 * [backup-simplify]: Simplify 0 into 0 9.546 * [backup-simplify]: Simplify 1 into 1 9.547 * [backup-simplify]: Simplify (/ -1 1) into -1 9.547 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.547 * [taylor]: Taking taylor expansion of -1 in x 9.547 * [backup-simplify]: Simplify -1 into -1 9.547 * [taylor]: Taking taylor expansion of x in x 9.547 * [backup-simplify]: Simplify 0 into 0 9.547 * [backup-simplify]: Simplify 1 into 1 9.547 * [backup-simplify]: Simplify (/ -1 1) into -1 9.547 * [backup-simplify]: Simplify (* -1 -1) into 1 9.548 * [backup-simplify]: Simplify (+ 0 1) into 1 9.548 * [backup-simplify]: Simplify (sqrt 1) into 1 9.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.549 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.549 * [backup-simplify]: Simplify (+ 0 0) into 0 9.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.550 * [backup-simplify]: Simplify (/ 1 1) into 1 9.550 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 9.550 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 9.550 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 9.550 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 9.550 * [taylor]: Taking taylor expansion of 1/2 in x 9.550 * [backup-simplify]: Simplify 1/2 into 1/2 9.550 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 9.550 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.550 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.550 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.550 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.550 * [taylor]: Taking taylor expansion of 1 in x 9.550 * [backup-simplify]: Simplify 1 into 1 9.550 * [taylor]: Taking taylor expansion of 1 in x 9.550 * [backup-simplify]: Simplify 1 into 1 9.550 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.550 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.550 * [taylor]: Taking taylor expansion of -1 in x 9.550 * [backup-simplify]: Simplify -1 into -1 9.550 * [taylor]: Taking taylor expansion of x in x 9.550 * [backup-simplify]: Simplify 0 into 0 9.550 * [backup-simplify]: Simplify 1 into 1 9.551 * [backup-simplify]: Simplify (/ -1 1) into -1 9.551 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.551 * [taylor]: Taking taylor expansion of -1 in x 9.551 * [backup-simplify]: Simplify -1 into -1 9.551 * [taylor]: Taking taylor expansion of x in x 9.551 * [backup-simplify]: Simplify 0 into 0 9.551 * [backup-simplify]: Simplify 1 into 1 9.551 * [backup-simplify]: Simplify (/ -1 1) into -1 9.551 * [backup-simplify]: Simplify (* -1 -1) into 1 9.552 * [backup-simplify]: Simplify (+ 0 1) into 1 9.552 * [backup-simplify]: Simplify (sqrt 1) into 1 9.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.553 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.553 * [backup-simplify]: Simplify (+ 0 0) into 0 9.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.554 * [backup-simplify]: Simplify (/ 1 1) into 1 9.554 * [taylor]: Taking taylor expansion of 1/2 in x 9.554 * [backup-simplify]: Simplify 1/2 into 1/2 9.554 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.555 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.555 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.555 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.556 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 9.556 * [taylor]: Taking taylor expansion of 1 in x 9.556 * [backup-simplify]: Simplify 1 into 1 9.556 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.557 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 9.558 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1)) 9.558 * [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 9.558 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 9.558 * [taylor]: Taking taylor expansion of 1/2 in x 9.558 * [backup-simplify]: Simplify 1/2 into 1/2 9.558 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 9.558 * [taylor]: Taking taylor expansion of 1/2 in x 9.558 * [backup-simplify]: Simplify 1/2 into 1/2 9.558 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 9.558 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.558 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.558 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.558 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.558 * [taylor]: Taking taylor expansion of 1 in x 9.558 * [backup-simplify]: Simplify 1 into 1 9.558 * [taylor]: Taking taylor expansion of 1 in x 9.558 * [backup-simplify]: Simplify 1 into 1 9.558 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.558 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.558 * [taylor]: Taking taylor expansion of -1 in x 9.558 * [backup-simplify]: Simplify -1 into -1 9.558 * [taylor]: Taking taylor expansion of x in x 9.558 * [backup-simplify]: Simplify 0 into 0 9.558 * [backup-simplify]: Simplify 1 into 1 9.558 * [backup-simplify]: Simplify (/ -1 1) into -1 9.558 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.558 * [taylor]: Taking taylor expansion of -1 in x 9.558 * [backup-simplify]: Simplify -1 into -1 9.558 * [taylor]: Taking taylor expansion of x in x 9.558 * [backup-simplify]: Simplify 0 into 0 9.558 * [backup-simplify]: Simplify 1 into 1 9.559 * [backup-simplify]: Simplify (/ -1 1) into -1 9.559 * [backup-simplify]: Simplify (* -1 -1) into 1 9.559 * [backup-simplify]: Simplify (+ 0 1) into 1 9.560 * [backup-simplify]: Simplify (sqrt 1) into 1 9.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.562 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.562 * [backup-simplify]: Simplify (+ 0 0) into 0 9.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.563 * [backup-simplify]: Simplify (/ 1 1) into 1 9.563 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 9.563 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 9.563 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 9.563 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 9.563 * [taylor]: Taking taylor expansion of 1/2 in x 9.563 * [backup-simplify]: Simplify 1/2 into 1/2 9.563 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 9.563 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.563 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.563 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.563 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.563 * [taylor]: Taking taylor expansion of 1 in x 9.563 * [backup-simplify]: Simplify 1 into 1 9.563 * [taylor]: Taking taylor expansion of 1 in x 9.563 * [backup-simplify]: Simplify 1 into 1 9.563 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.563 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.564 * [taylor]: Taking taylor expansion of -1 in x 9.564 * [backup-simplify]: Simplify -1 into -1 9.564 * [taylor]: Taking taylor expansion of x in x 9.564 * [backup-simplify]: Simplify 0 into 0 9.564 * [backup-simplify]: Simplify 1 into 1 9.564 * [backup-simplify]: Simplify (/ -1 1) into -1 9.564 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.564 * [taylor]: Taking taylor expansion of -1 in x 9.564 * [backup-simplify]: Simplify -1 into -1 9.564 * [taylor]: Taking taylor expansion of x in x 9.564 * [backup-simplify]: Simplify 0 into 0 9.564 * [backup-simplify]: Simplify 1 into 1 9.564 * [backup-simplify]: Simplify (/ -1 1) into -1 9.565 * [backup-simplify]: Simplify (* -1 -1) into 1 9.565 * [backup-simplify]: Simplify (+ 0 1) into 1 9.565 * [backup-simplify]: Simplify (sqrt 1) into 1 9.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.568 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.568 * [backup-simplify]: Simplify (+ 0 0) into 0 9.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.569 * [backup-simplify]: Simplify (/ 1 1) into 1 9.569 * [taylor]: Taking taylor expansion of 1/2 in x 9.569 * [backup-simplify]: Simplify 1/2 into 1/2 9.570 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.570 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.570 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.571 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.572 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 9.572 * [taylor]: Taking taylor expansion of 1 in x 9.572 * [backup-simplify]: Simplify 1 into 1 9.573 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.574 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 9.575 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1)) 9.577 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1)) 9.577 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.577 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.578 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 9.583 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 9.595 * [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)))))) 9.606 * [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)))))) 9.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.608 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.608 * [backup-simplify]: Simplify (- 0) into 0 9.608 * [backup-simplify]: Simplify (+ 0 0) into 0 9.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.610 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.610 * [backup-simplify]: Simplify (+ 0 0) into 0 9.615 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 9.618 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 9.658 * [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)))))) 9.684 * [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)))))) 9.714 * [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)))))))) 9.714 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1) 9.714 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 9.714 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 9.714 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 9.714 * [taylor]: Taking taylor expansion of 1/2 in x 9.714 * [backup-simplify]: Simplify 1/2 into 1/2 9.714 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.714 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.714 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.714 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.714 * [taylor]: Taking taylor expansion of 1 in x 9.714 * [backup-simplify]: Simplify 1 into 1 9.714 * [taylor]: Taking taylor expansion of 1 in x 9.714 * [backup-simplify]: Simplify 1 into 1 9.714 * [taylor]: Taking taylor expansion of (* x x) in x 9.714 * [taylor]: Taking taylor expansion of x in x 9.714 * [backup-simplify]: Simplify 0 into 0 9.714 * [backup-simplify]: Simplify 1 into 1 9.714 * [taylor]: Taking taylor expansion of x in x 9.714 * [backup-simplify]: Simplify 0 into 0 9.714 * [backup-simplify]: Simplify 1 into 1 9.715 * [backup-simplify]: Simplify (* 1 1) into 1 9.715 * [backup-simplify]: Simplify (* 0 0) into 0 9.715 * [backup-simplify]: Simplify (+ 1 0) into 1 9.716 * [backup-simplify]: Simplify (sqrt 1) into 1 9.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.716 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.717 * [backup-simplify]: Simplify (+ 0 0) into 0 9.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.717 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.717 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 9.717 * [taylor]: Taking taylor expansion of 1/2 in x 9.717 * [backup-simplify]: Simplify 1/2 into 1/2 9.717 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.717 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.717 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.717 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.717 * [taylor]: Taking taylor expansion of 1 in x 9.717 * [backup-simplify]: Simplify 1 into 1 9.717 * [taylor]: Taking taylor expansion of 1 in x 9.717 * [backup-simplify]: Simplify 1 into 1 9.717 * [taylor]: Taking taylor expansion of (* x x) in x 9.717 * [taylor]: Taking taylor expansion of x in x 9.717 * [backup-simplify]: Simplify 0 into 0 9.717 * [backup-simplify]: Simplify 1 into 1 9.717 * [taylor]: Taking taylor expansion of x in x 9.717 * [backup-simplify]: Simplify 0 into 0 9.717 * [backup-simplify]: Simplify 1 into 1 9.718 * [backup-simplify]: Simplify (* 1 1) into 1 9.718 * [backup-simplify]: Simplify (* 0 0) into 0 9.718 * [backup-simplify]: Simplify (+ 1 0) into 1 9.718 * [backup-simplify]: Simplify (sqrt 1) into 1 9.719 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.719 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.719 * [backup-simplify]: Simplify (+ 0 0) into 0 9.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.720 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.720 * [backup-simplify]: Simplify 1/2 into 1/2 9.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.721 * [backup-simplify]: Simplify 0 into 0 9.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.722 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 9.722 * [backup-simplify]: Simplify (+ 0 1) into 1 9.722 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 9.723 * [backup-simplify]: Simplify -1/4 into -1/4 9.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.724 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 9.725 * [backup-simplify]: Simplify (+ 0 0) into 0 9.725 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 9.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 9.726 * [backup-simplify]: Simplify 0 into 0 9.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.727 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.728 * [backup-simplify]: Simplify (+ 0 0) into 0 9.729 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 9.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 9.731 * [backup-simplify]: Simplify 3/16 into 3/16 9.731 * [backup-simplify]: Simplify (+ (* 3/16 (pow x 4)) (+ (* -1/4 (pow x 2)) 1/2)) into (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) 9.731 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 9.731 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 9.731 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 9.731 * [taylor]: Taking taylor expansion of 1/2 in x 9.732 * [backup-simplify]: Simplify 1/2 into 1/2 9.732 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.732 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.732 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.732 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.732 * [taylor]: Taking taylor expansion of 1 in x 9.732 * [backup-simplify]: Simplify 1 into 1 9.732 * [taylor]: Taking taylor expansion of 1 in x 9.732 * [backup-simplify]: Simplify 1 into 1 9.732 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.732 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.732 * [taylor]: Taking taylor expansion of x in x 9.732 * [backup-simplify]: Simplify 0 into 0 9.732 * [backup-simplify]: Simplify 1 into 1 9.732 * [backup-simplify]: Simplify (/ 1 1) into 1 9.732 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.732 * [taylor]: Taking taylor expansion of x in x 9.732 * [backup-simplify]: Simplify 0 into 0 9.732 * [backup-simplify]: Simplify 1 into 1 9.733 * [backup-simplify]: Simplify (/ 1 1) into 1 9.733 * [backup-simplify]: Simplify (* 1 1) into 1 9.734 * [backup-simplify]: Simplify (+ 0 1) into 1 9.734 * [backup-simplify]: Simplify (sqrt 1) into 1 9.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.736 * [backup-simplify]: Simplify (+ 0 0) into 0 9.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.737 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.738 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 9.738 * [taylor]: Taking taylor expansion of 1/2 in x 9.738 * [backup-simplify]: Simplify 1/2 into 1/2 9.738 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.738 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.738 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.738 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.738 * [taylor]: Taking taylor expansion of 1 in x 9.738 * [backup-simplify]: Simplify 1 into 1 9.738 * [taylor]: Taking taylor expansion of 1 in x 9.738 * [backup-simplify]: Simplify 1 into 1 9.738 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.738 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.738 * [taylor]: Taking taylor expansion of x in x 9.738 * [backup-simplify]: Simplify 0 into 0 9.738 * [backup-simplify]: Simplify 1 into 1 9.738 * [backup-simplify]: Simplify (/ 1 1) into 1 9.738 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.738 * [taylor]: Taking taylor expansion of x in x 9.738 * [backup-simplify]: Simplify 0 into 0 9.738 * [backup-simplify]: Simplify 1 into 1 9.739 * [backup-simplify]: Simplify (/ 1 1) into 1 9.739 * [backup-simplify]: Simplify (* 1 1) into 1 9.740 * [backup-simplify]: Simplify (+ 0 1) into 1 9.740 * [backup-simplify]: Simplify (sqrt 1) into 1 9.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.742 * [backup-simplify]: Simplify (+ 0 0) into 0 9.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.744 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.744 * [backup-simplify]: Simplify 1/2 into 1/2 9.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.745 * [backup-simplify]: Simplify 0 into 0 9.745 * [backup-simplify]: Simplify (* 1 1) into 1 9.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.749 * [backup-simplify]: Simplify (+ 1 0) into 1 9.750 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 9.751 * [backup-simplify]: Simplify -1/4 into -1/4 9.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.756 * [backup-simplify]: Simplify (+ 0 0) into 0 9.757 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 9.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 9.759 * [backup-simplify]: Simplify 0 into 0 9.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.763 * [backup-simplify]: Simplify (+ 0 0) into 0 9.765 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 9.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 9.766 * [backup-simplify]: Simplify 3/16 into 3/16 9.767 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 x) 5)) (+ (* -1/4 (pow (/ 1 x) 3)) (* 1/2 (/ 1 x)))) into (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) 9.767 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 9.767 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 9.767 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 9.767 * [taylor]: Taking taylor expansion of 1/2 in x 9.767 * [backup-simplify]: Simplify 1/2 into 1/2 9.767 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.767 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.767 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.767 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.767 * [taylor]: Taking taylor expansion of 1 in x 9.767 * [backup-simplify]: Simplify 1 into 1 9.767 * [taylor]: Taking taylor expansion of 1 in x 9.767 * [backup-simplify]: Simplify 1 into 1 9.767 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.767 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.767 * [taylor]: Taking taylor expansion of -1 in x 9.767 * [backup-simplify]: Simplify -1 into -1 9.767 * [taylor]: Taking taylor expansion of x in x 9.767 * [backup-simplify]: Simplify 0 into 0 9.767 * [backup-simplify]: Simplify 1 into 1 9.768 * [backup-simplify]: Simplify (/ -1 1) into -1 9.768 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.768 * [taylor]: Taking taylor expansion of -1 in x 9.768 * [backup-simplify]: Simplify -1 into -1 9.768 * [taylor]: Taking taylor expansion of x in x 9.768 * [backup-simplify]: Simplify 0 into 0 9.768 * [backup-simplify]: Simplify 1 into 1 9.769 * [backup-simplify]: Simplify (/ -1 1) into -1 9.769 * [backup-simplify]: Simplify (* -1 -1) into 1 9.769 * [backup-simplify]: Simplify (+ 0 1) into 1 9.770 * [backup-simplify]: Simplify (sqrt 1) into 1 9.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.772 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.772 * [backup-simplify]: Simplify (+ 0 0) into 0 9.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.774 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.774 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 9.774 * [taylor]: Taking taylor expansion of 1/2 in x 9.774 * [backup-simplify]: Simplify 1/2 into 1/2 9.774 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.774 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.774 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.774 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.774 * [taylor]: Taking taylor expansion of 1 in x 9.774 * [backup-simplify]: Simplify 1 into 1 9.774 * [taylor]: Taking taylor expansion of 1 in x 9.774 * [backup-simplify]: Simplify 1 into 1 9.774 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.774 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.774 * [taylor]: Taking taylor expansion of -1 in x 9.774 * [backup-simplify]: Simplify -1 into -1 9.774 * [taylor]: Taking taylor expansion of x in x 9.774 * [backup-simplify]: Simplify 0 into 0 9.774 * [backup-simplify]: Simplify 1 into 1 9.775 * [backup-simplify]: Simplify (/ -1 1) into -1 9.775 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.775 * [taylor]: Taking taylor expansion of -1 in x 9.775 * [backup-simplify]: Simplify -1 into -1 9.775 * [taylor]: Taking taylor expansion of x in x 9.775 * [backup-simplify]: Simplify 0 into 0 9.775 * [backup-simplify]: Simplify 1 into 1 9.775 * [backup-simplify]: Simplify (/ -1 1) into -1 9.776 * [backup-simplify]: Simplify (* -1 -1) into 1 9.776 * [backup-simplify]: Simplify (+ 0 1) into 1 9.776 * [backup-simplify]: Simplify (sqrt 1) into 1 9.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.779 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.779 * [backup-simplify]: Simplify (+ 0 0) into 0 9.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.780 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.780 * [backup-simplify]: Simplify 1/2 into 1/2 9.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.781 * [backup-simplify]: Simplify 0 into 0 9.782 * [backup-simplify]: Simplify (* 1 1) into 1 9.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.784 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 9.784 * [backup-simplify]: Simplify (+ 1 0) into 1 9.785 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 9.786 * [backup-simplify]: Simplify -1/4 into -1/4 9.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.788 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 9.788 * [backup-simplify]: Simplify (+ 0 0) into 0 9.788 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 9.789 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 9.789 * [backup-simplify]: Simplify 0 into 0 9.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.792 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 9.792 * [backup-simplify]: Simplify (+ 0 0) into 0 9.793 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 9.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 9.794 * [backup-simplify]: Simplify 3/16 into 3/16 9.794 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 (- x)) 5)) (+ (* -1/4 (pow (/ 1 (- x)) 3)) (* 1/2 (/ 1 (- x))))) into (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) 9.794 * * * [progress]: simplifying candidates 9.794 * * * * [progress]: [ 1 / 179 ] simplifiying candidate # 9.794 * * * * [progress]: [ 2 / 179 ] simplifiying candidate # 9.794 * * * * [progress]: [ 3 / 179 ] simplifiying candidate # 9.794 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 9.794 * * [simplify]: iters left: 5 (6 enodes) 9.796 * * [simplify]: iters left: 4 (21 enodes) 9.800 * * [simplify]: iters left: 3 (23 enodes) 9.803 * * [simplify]: Extracting #0: cost 1 inf + 0 9.803 * * [simplify]: Extracting #1: cost 4 inf + 0 9.803 * * [simplify]: Extracting #2: cost 5 inf + 1 9.803 * * [simplify]: Extracting #3: cost 8 inf + 1 9.803 * * [simplify]: Extracting #4: cost 6 inf + 3 9.803 * * [simplify]: Extracting #5: cost 0 inf + 589 9.803 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 9.803 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (pow (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 1/2))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 9.804 * [simplify]: Simplifying (+ 1/2 1/2) 9.804 * * [simplify]: iters left: 2 (2 enodes) 9.805 * * [simplify]: iters left: 1 (7 enodes) 9.806 * * [simplify]: Extracting #0: cost 1 inf + 0 9.806 * * [simplify]: Extracting #1: cost 0 inf + 1 9.806 * [simplify]: Simplified to 1 9.806 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 1) (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 1)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 9.806 * * * * [progress]: [ 4 / 179 ] simplifiying candidate # 9.807 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 9.807 * * [simplify]: iters left: 5 (6 enodes) 9.808 * * [simplify]: iters left: 4 (21 enodes) 9.812 * * [simplify]: iters left: 3 (23 enodes) 9.816 * * [simplify]: Extracting #0: cost 1 inf + 0 9.816 * * [simplify]: Extracting #1: cost 4 inf + 0 9.816 * * [simplify]: Extracting #2: cost 5 inf + 1 9.816 * * [simplify]: Extracting #3: cost 8 inf + 1 9.816 * * [simplify]: Extracting #4: cost 6 inf + 3 9.816 * * [simplify]: Extracting #5: cost 0 inf + 589 9.816 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 9.816 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (pow (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1 2)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 9.817 * [simplify]: Simplifying (+ 1/2 (/ 1 2)) 9.817 * * [simplify]: iters left: 4 (5 enodes) 9.822 * * [simplify]: iters left: 3 (18 enodes) 9.836 * * [simplify]: iters left: 2 (20 enodes) 9.842 * * [simplify]: Extracting #0: cost 1 inf + 0 9.842 * * [simplify]: Extracting #1: cost 0 inf + 1 9.842 * [simplify]: Simplified to 1 9.842 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 1) (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 1)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 9.842 * * * * [progress]: [ 5 / 179 ] simplifiying candidate # 9.842 * [simplify]: Simplifying (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 9.842 * * [simplify]: iters left: 6 (7 enodes) 9.846 * * [simplify]: iters left: 5 (24 enodes) 9.854 * * [simplify]: iters left: 4 (26 enodes) 9.862 * * [simplify]: Extracting #0: cost 1 inf + 0 9.862 * * [simplify]: Extracting #1: cost 3 inf + 0 9.862 * * [simplify]: Extracting #2: cost 6 inf + 0 9.862 * * [simplify]: Extracting #3: cost 7 inf + 1 9.862 * * [simplify]: Extracting #4: cost 10 inf + 1 9.862 * * [simplify]: Extracting #5: cost 6 inf + 117 9.862 * * [simplify]: Extracting #6: cost 2 inf + 629 9.862 * * [simplify]: Extracting #7: cost 0 inf + 945 9.863 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 9.863 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (pow (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 1))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 9.863 * [simplify]: Simplifying (+ 1 1) 9.863 * * [simplify]: iters left: 2 (2 enodes) 9.866 * * [simplify]: iters left: 1 (9 enodes) 9.869 * * [simplify]: Extracting #0: cost 1 inf + 0 9.869 * * [simplify]: Extracting #1: cost 0 inf + 1 9.869 * [simplify]: Simplified to 2 9.869 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 1) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 2)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 9.870 * * * * [progress]: [ 6 / 179 ] simplifiying candidate # 9.870 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 9.870 * * [simplify]: iters left: 5 (6 enodes) 9.873 * * [simplify]: iters left: 4 (21 enodes) 9.878 * * [simplify]: iters left: 3 (23 enodes) 9.881 * * [simplify]: Extracting #0: cost 1 inf + 0 9.881 * * [simplify]: Extracting #1: cost 4 inf + 0 9.881 * * [simplify]: Extracting #2: cost 5 inf + 1 9.881 * * [simplify]: Extracting #3: cost 8 inf + 1 9.881 * * [simplify]: Extracting #4: cost 6 inf + 3 9.881 * * [simplify]: Extracting #5: cost 0 inf + 589 9.881 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 9.881 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (pow (+ 1/2 (/ 1/2 (hypot 1 x))) (+ (/ 1 2) 1/2))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 9.882 * [simplify]: Simplifying (+ (/ 1 2) 1/2) 9.882 * * [simplify]: iters left: 4 (5 enodes) 9.886 * * [simplify]: iters left: 3 (18 enodes) 9.888 * * [simplify]: iters left: 2 (20 enodes) 9.891 * * [simplify]: Extracting #0: cost 1 inf + 0 9.891 * * [simplify]: Extracting #1: cost 0 inf + 1 9.891 * [simplify]: Simplified to 1 9.891 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 1) (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 1)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 9.891 * * * * [progress]: [ 7 / 179 ] simplifiying candidate # 9.891 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 9.891 * * [simplify]: iters left: 5 (6 enodes) 9.893 * * [simplify]: iters left: 4 (21 enodes) 9.897 * * [simplify]: iters left: 3 (23 enodes) 9.901 * * [simplify]: Extracting #0: cost 1 inf + 0 9.901 * * [simplify]: Extracting #1: cost 4 inf + 0 9.901 * * [simplify]: Extracting #2: cost 5 inf + 1 9.901 * * [simplify]: Extracting #3: cost 8 inf + 1 9.901 * * [simplify]: Extracting #4: cost 6 inf + 3 9.901 * * [simplify]: Extracting #5: cost 0 inf + 589 9.901 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 9.901 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (pow (+ 1/2 (/ 1/2 (hypot 1 x))) (+ (/ 1 2) (/ 1 2)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 9.902 * [simplify]: Simplifying (+ (/ 1 2) (/ 1 2)) 9.902 * * [simplify]: iters left: 4 (4 enodes) 9.906 * * [simplify]: iters left: 3 (15 enodes) 9.910 * * [simplify]: iters left: 2 (17 enodes) 9.915 * * [simplify]: Extracting #0: cost 1 inf + 0 9.915 * * [simplify]: Extracting #1: cost 0 inf + 1 9.915 * [simplify]: Simplified to 1 9.915 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 1) (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 1)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 9.915 * * * * [progress]: [ 8 / 179 ] simplifiying candidate # 9.915 * [simplify]: Simplifying (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) 9.916 * * [simplify]: iters left: 6 (7 enodes) 9.919 * * [simplify]: iters left: 5 (30 enodes) 9.925 * * [simplify]: iters left: 4 (59 enodes) 9.934 * * [simplify]: iters left: 3 (94 enodes) 9.950 * * [simplify]: iters left: 2 (139 enodes) 9.971 * * [simplify]: iters left: 1 (199 enodes) 10.046 * * [simplify]: Extracting #0: cost 1 inf + 0 10.046 * * [simplify]: Extracting #1: cost 32 inf + 0 10.046 * * [simplify]: Extracting #2: cost 94 inf + 2 10.047 * * [simplify]: Extracting #3: cost 99 inf + 3 10.048 * * [simplify]: Extracting #4: cost 95 inf + 216 10.051 * * [simplify]: Extracting #5: cost 37 inf + 8307 10.058 * * [simplify]: Extracting #6: cost 6 inf + 14072 10.062 * * [simplify]: Extracting #7: cost 0 inf + 15500 10.066 * [simplify]: Simplified to (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 10.066 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (pow (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 1/2)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 10.066 * * * * [progress]: [ 9 / 179 ] simplifiying candidate # 10.067 * [simplify]: Simplifying (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 10.067 * * [simplify]: iters left: 6 (8 enodes) 10.069 * * [simplify]: iters left: 5 (25 enodes) 10.073 * * [simplify]: iters left: 4 (28 enodes) 10.077 * * [simplify]: Extracting #0: cost 1 inf + 0 10.077 * * [simplify]: Extracting #1: cost 5 inf + 0 10.077 * * [simplify]: Extracting #2: cost 7 inf + 1 10.077 * * [simplify]: Extracting #3: cost 10 inf + 1 10.077 * * [simplify]: Extracting #4: cost 8 inf + 3 10.077 * * [simplify]: Extracting #5: cost 3 inf + 491 10.077 * * [simplify]: Extracting #6: cost 1 inf + 767 10.078 * * [simplify]: Extracting #7: cost 0 inf + 945 10.078 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 10.078 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (pow (+ 1/2 (/ 1/2 (hypot 1 x))) 1)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 10.078 * * * * [progress]: [ 10 / 179 ] simplifiying candidate # 10.078 * [simplify]: Simplifying (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) 10.078 * * [simplify]: iters left: 6 (7 enodes) 10.080 * * [simplify]: iters left: 5 (30 enodes) 10.086 * * [simplify]: iters left: 4 (59 enodes) 10.104 * * [simplify]: iters left: 3 (94 enodes) 10.131 * * [simplify]: iters left: 2 (139 enodes) 10.160 * * [simplify]: iters left: 1 (199 enodes) 10.209 * * [simplify]: Extracting #0: cost 1 inf + 0 10.209 * * [simplify]: Extracting #1: cost 32 inf + 0 10.210 * * [simplify]: Extracting #2: cost 94 inf + 2 10.210 * * [simplify]: Extracting #3: cost 99 inf + 3 10.210 * * [simplify]: Extracting #4: cost 95 inf + 216 10.212 * * [simplify]: Extracting #5: cost 37 inf + 8307 10.216 * * [simplify]: Extracting #6: cost 6 inf + 14072 10.219 * * [simplify]: Extracting #7: cost 0 inf + 15500 10.223 * [simplify]: Simplified to (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 10.223 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (pow (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (/ 1 2))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 10.224 * [simplify]: Simplifying (/ 1 2) 10.224 * * [simplify]: iters left: 2 (3 enodes) 10.226 * * [simplify]: iters left: 1 (12 enodes) 10.229 * * [simplify]: Extracting #0: cost 1 inf + 0 10.229 * * [simplify]: Extracting #1: cost 0 inf + 1 10.229 * [simplify]: Simplified to 1/2 10.229 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 1) (pow (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) 1/2)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 10.229 * * * * [progress]: [ 11 / 179 ] simplifiying candidate # 10.229 * * * * [progress]: [ 12 / 179 ] simplifiying candidate # 10.230 * [simplify]: Simplifying (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 10.230 * * [simplify]: iters left: 6 (7 enodes) 10.237 * * [simplify]: iters left: 5 (24 enodes) 10.244 * * [simplify]: iters left: 4 (26 enodes) 10.252 * * [simplify]: Extracting #0: cost 1 inf + 0 10.252 * * [simplify]: Extracting #1: cost 3 inf + 0 10.253 * * [simplify]: Extracting #2: cost 6 inf + 0 10.253 * * [simplify]: Extracting #3: cost 7 inf + 1 10.253 * * [simplify]: Extracting #4: cost 10 inf + 1 10.253 * * [simplify]: Extracting #5: cost 6 inf + 117 10.253 * * [simplify]: Extracting #6: cost 2 inf + 629 10.253 * * [simplify]: Extracting #7: cost 0 inf + 945 10.254 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 10.254 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (pow (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 1))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 10.254 * * * * [progress]: [ 13 / 179 ] simplifiying candidate # 10.254 * * * * [progress]: [ 14 / 179 ] simplifiying candidate # 10.254 * [simplify]: Simplifying (+ (log (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (log (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 10.254 * * [simplify]: iters left: 6 (9 enodes) 10.260 * * [simplify]: iters left: 5 (30 enodes) 10.269 * * [simplify]: iters left: 4 (32 enodes) 10.279 * * [simplify]: Extracting #0: cost 1 inf + 0 10.279 * * [simplify]: Extracting #1: cost 3 inf + 0 10.279 * * [simplify]: Extracting #2: cost 5 inf + 0 10.279 * * [simplify]: Extracting #3: cost 7 inf + 0 10.279 * * [simplify]: Extracting #4: cost 10 inf + 0 10.279 * * [simplify]: Extracting #5: cost 11 inf + 1 10.280 * * [simplify]: Extracting #6: cost 14 inf + 1 10.280 * * [simplify]: Extracting #7: cost 10 inf + 117 10.280 * * [simplify]: Extracting #8: cost 8 inf + 353 10.280 * * [simplify]: Extracting #9: cost 4 inf + 1015 10.281 * * [simplify]: Extracting #10: cost 0 inf + 2017 10.281 * [simplify]: Simplified to (+ (log (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (log (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 10.281 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (exp (+ (log (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (log (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 10.282 * * * * [progress]: [ 15 / 179 ] simplifiying candidate # 10.282 * * * * [progress]: [ 16 / 179 ] simplifiying candidate # 10.282 * * * * [progress]: [ 17 / 179 ] simplifiying candidate # 10.282 * [simplify]: Simplifying (* (* (* (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 (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 10.282 * * [simplify]: iters left: 6 (10 enodes) 10.288 * * [simplify]: iters left: 5 (38 enodes) 10.303 * * [simplify]: iters left: 4 (85 enodes) 10.368 * * [simplify]: iters left: 3 (328 enodes) 10.525 * * [simplify]: Extracting #0: cost 1 inf + 0 10.525 * * [simplify]: Extracting #1: cost 33 inf + 0 10.525 * * [simplify]: Extracting #2: cost 148 inf + 3 10.526 * * [simplify]: Extracting #3: cost 153 inf + 7 10.527 * * [simplify]: Extracting #4: cost 140 inf + 1361 10.530 * * [simplify]: Extracting #5: cost 94 inf + 11061 10.539 * * [simplify]: Extracting #6: cost 9 inf + 37639 10.549 * * [simplify]: Extracting #7: cost 0 inf + 40236 10.570 * [simplify]: Simplified to (* (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 10.570 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (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))))) 10.571 * * * * [progress]: [ 18 / 179 ] simplifiying candidate # 10.571 * * * * [progress]: [ 19 / 179 ] simplifiying candidate # 10.571 * * * * [progress]: [ 20 / 179 ] simplifiying candidate # 10.571 * [simplify]: Simplifying (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) 10.571 * * [simplify]: iters left: 6 (7 enodes) 10.576 * * [simplify]: iters left: 5 (30 enodes) 10.587 * * [simplify]: iters left: 4 (59 enodes) 10.596 * * [simplify]: iters left: 3 (94 enodes) 10.610 * * [simplify]: iters left: 2 (139 enodes) 10.642 * * [simplify]: iters left: 1 (199 enodes) 10.707 * * [simplify]: Extracting #0: cost 1 inf + 0 10.707 * * [simplify]: Extracting #1: cost 32 inf + 0 10.708 * * [simplify]: Extracting #2: cost 94 inf + 2 10.708 * * [simplify]: Extracting #3: cost 99 inf + 3 10.708 * * [simplify]: Extracting #4: cost 95 inf + 216 10.710 * * [simplify]: Extracting #5: cost 37 inf + 8307 10.714 * * [simplify]: Extracting #6: cost 6 inf + 14072 10.718 * * [simplify]: Extracting #7: cost 0 inf + 15500 10.722 * [simplify]: Simplified to (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 10.722 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (sqrt (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 10.722 * * * * [progress]: [ 21 / 179 ] simplifiying candidate # 10.722 * * * * [progress]: [ 22 / 179 ] simplifiying candidate # 10.722 * [simplify]: Simplifying (/ 1/2 (hypot 1 x)) 10.722 * * [simplify]: iters left: 3 (5 enodes) 10.724 * * [simplify]: iters left: 2 (17 enodes) 10.727 * * [simplify]: iters left: 1 (19 enodes) 10.730 * * [simplify]: Extracting #0: cost 1 inf + 0 10.730 * * [simplify]: Extracting #1: cost 4 inf + 0 10.730 * * [simplify]: Extracting #2: cost 6 inf + 1 10.730 * * [simplify]: Extracting #3: cost 0 inf + 313 10.730 * [simplify]: Simplified to (/ 1/2 (hypot 1 x)) 10.730 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 10.730 * * * * [progress]: [ 23 / 179 ] simplifiying candidate # 10.731 * [simplify]: Simplifying (* (sqrt (+ (pow (/ 1/2 (hypot 1 x)) 3) (pow 1/2 3))) (sqrt (+ (pow (/ 1/2 (hypot 1 x)) 3) (pow 1/2 3)))) 10.731 * * [simplify]: iters left: 6 (11 enodes) 10.739 * * [simplify]: iters left: 5 (51 enodes) 10.760 * * [simplify]: iters left: 4 (97 enodes) 10.785 * * [simplify]: iters left: 3 (189 enodes) 10.857 * * [simplify]: iters left: 2 (310 enodes) 10.981 * * [simplify]: Extracting #0: cost 1 inf + 0 10.981 * * [simplify]: Extracting #1: cost 8 inf + 0 10.981 * * [simplify]: Extracting #2: cost 49 inf + 1 10.981 * * [simplify]: Extracting #3: cost 99 inf + 6 10.982 * * [simplify]: Extracting #4: cost 87 inf + 1872 10.984 * * [simplify]: Extracting #5: cost 37 inf + 14492 10.987 * * [simplify]: Extracting #6: cost 5 inf + 28818 10.991 * * [simplify]: Extracting #7: cost 0 inf + 31617 10.995 * [simplify]: Simplified to (+ 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) 10.995 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (/ (+ 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (* (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) (* (/ 1/2 (hypot 1 x)) 1/2))))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 10.996 * [simplify]: Simplifying (* (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) (* (/ 1/2 (hypot 1 x)) 1/2))))) 10.996 * * [simplify]: iters left: 6 (12 enodes) 10.999 * * [simplify]: iters left: 5 (50 enodes) 11.011 * * [simplify]: iters left: 4 (81 enodes) 11.036 * * [simplify]: iters left: 3 (109 enodes) 11.055 * * [simplify]: iters left: 2 (166 enodes) 11.095 * * [simplify]: iters left: 1 (242 enodes) 11.172 * * [simplify]: Extracting #0: cost 1 inf + 0 11.172 * * [simplify]: Extracting #1: cost 30 inf + 0 11.173 * * [simplify]: Extracting #2: cost 68 inf + 3 11.174 * * [simplify]: Extracting #3: cost 75 inf + 4 11.174 * * [simplify]: Extracting #4: cost 73 inf + 6 11.176 * * [simplify]: Extracting #5: cost 41 inf + 4221 11.182 * * [simplify]: Extracting #6: cost 8 inf + 9952 11.189 * * [simplify]: Extracting #7: cost 0 inf + 11575 11.196 * [simplify]: Simplified to (fma (- (/ 1/2 (hypot 1 x)) 1/2) (/ 1/2 (hypot 1 x)) 1/4) 11.196 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 1) (/ (+ 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (- (/ 1/2 (hypot 1 x)) 1/2) (/ 1/2 (hypot 1 x)) 1/4))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 11.196 * * * * [progress]: [ 24 / 179 ] simplifiying candidate # 11.197 * [simplify]: Simplifying (* (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)))) 11.197 * * [simplify]: iters left: 6 (15 enodes) 11.209 * * [simplify]: iters left: 5 (75 enodes) 11.238 * * [simplify]: iters left: 4 (144 enodes) 11.294 * * [simplify]: iters left: 3 (252 enodes) 11.409 * * [simplify]: iters left: 2 (464 enodes) 11.609 * * [simplify]: Extracting #0: cost 1 inf + 0 11.609 * * [simplify]: Extracting #1: cost 4 inf + 0 11.609 * * [simplify]: Extracting #2: cost 8 inf + 0 11.609 * * [simplify]: Extracting #3: cost 33 inf + 0 11.610 * * [simplify]: Extracting #4: cost 79 inf + 4 11.611 * * [simplify]: Extracting #5: cost 125 inf + 8 11.612 * * [simplify]: Extracting #6: cost 103 inf + 3212 11.620 * * [simplify]: Extracting #7: cost 23 inf + 25033 11.630 * * [simplify]: Extracting #8: cost 0 inf + 36130 11.638 * [simplify]: Simplified to (* (sqrt (+ 1/8 (/ (/ (/ 1/8 (hypot 1 x)) (hypot 1 x)) (hypot 1 x)))) (sqrt (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) -1/4))) 11.638 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (/ (* (sqrt (+ 1/8 (/ (/ (/ 1/8 (hypot 1 x)) (hypot 1 x)) (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 (hypot 1 x))) (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 11.639 * [simplify]: Simplifying (* (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))) 11.639 * * [simplify]: iters left: 6 (14 enodes) 11.644 * * [simplify]: iters left: 5 (62 enodes) 11.659 * * [simplify]: iters left: 4 (92 enodes) 11.678 * * [simplify]: iters left: 3 (122 enodes) 11.715 * * [simplify]: iters left: 2 (176 enodes) 11.763 * * [simplify]: iters left: 1 (247 enodes) 11.845 * * [simplify]: Extracting #0: cost 1 inf + 0 11.846 * * [simplify]: Extracting #1: cost 4 inf + 0 11.846 * * [simplify]: Extracting #2: cost 8 inf + 0 11.846 * * [simplify]: Extracting #3: cost 35 inf + 0 11.846 * * [simplify]: Extracting #4: cost 68 inf + 3 11.847 * * [simplify]: Extracting #5: cost 75 inf + 4 11.848 * * [simplify]: Extracting #6: cost 73 inf + 6 11.850 * * [simplify]: Extracting #7: cost 51 inf + 2590 11.855 * * [simplify]: Extracting #8: cost 8 inf + 9927 11.862 * * [simplify]: Extracting #9: cost 0 inf + 11527 11.869 * [simplify]: Simplified to (* (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (fma (/ 1/2 (hypot 1 x)) (- (/ 1/2 (hypot 1 x)) 1/2) 1/4))) 11.869 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 1) (/ (* (sqrt (+ 1/8 (/ (/ (/ 1/8 (hypot 1 x)) (hypot 1 x)) (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)) (sqrt (fma (/ 1/2 (hypot 1 x)) (- (/ 1/2 (hypot 1 x)) 1/2) 1/4))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 11.869 * * * * [progress]: [ 25 / 179 ] simplifiying candidate # 11.870 * [simplify]: Simplifying (* (sqrt (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 1/2))) (sqrt (+ (pow (/ 1/2 (hypot 1 x)) 3) (pow 1/2 3)))) 11.870 * * [simplify]: iters left: 6 (15 enodes) 11.884 * * [simplify]: iters left: 5 (75 enodes) 11.911 * * [simplify]: iters left: 4 (144 enodes) 11.943 * * [simplify]: iters left: 3 (253 enodes) 12.038 * * [simplify]: iters left: 2 (466 enodes) 12.202 * * [simplify]: Extracting #0: cost 1 inf + 0 12.202 * * [simplify]: Extracting #1: cost 4 inf + 0 12.202 * * [simplify]: Extracting #2: cost 8 inf + 0 12.202 * * [simplify]: Extracting #3: cost 33 inf + 0 12.203 * * [simplify]: Extracting #4: cost 79 inf + 4 12.204 * * [simplify]: Extracting #5: cost 125 inf + 8 12.206 * * [simplify]: Extracting #6: cost 104 inf + 2637 12.213 * * [simplify]: Extracting #7: cost 18 inf + 28458 12.224 * * [simplify]: Extracting #8: cost 0 inf + 35881 12.235 * [simplify]: Simplified to (* (sqrt (fma (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) 1/8)) (sqrt (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) -1/4))) 12.235 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (/ (* (sqrt (fma (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) 1/8)) (sqrt (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) -1/4))) (* (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) 1/2))))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 12.236 * [simplify]: Simplifying (* (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) 1/2))))) 12.236 * * [simplify]: iters left: 6 (14 enodes) 12.244 * * [simplify]: iters left: 5 (62 enodes) 12.263 * * [simplify]: iters left: 4 (92 enodes) 12.288 * * [simplify]: iters left: 3 (122 enodes) 12.311 * * [simplify]: iters left: 2 (176 enodes) 12.348 * * [simplify]: iters left: 1 (247 enodes) 12.451 * * [simplify]: Extracting #0: cost 1 inf + 0 12.451 * * [simplify]: Extracting #1: cost 4 inf + 0 12.451 * * [simplify]: Extracting #2: cost 8 inf + 0 12.451 * * [simplify]: Extracting #3: cost 35 inf + 0 12.451 * * [simplify]: Extracting #4: cost 68 inf + 3 12.452 * * [simplify]: Extracting #5: cost 75 inf + 4 12.453 * * [simplify]: Extracting #6: cost 73 inf + 6 12.454 * * [simplify]: Extracting #7: cost 49 inf + 3067 12.459 * * [simplify]: Extracting #8: cost 9 inf + 9684 12.466 * * [simplify]: Extracting #9: cost 0 inf + 11526 12.473 * [simplify]: Simplified to (* (sqrt (fma (/ 1/2 (hypot 1 x)) (- (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2))) 12.473 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 1) (/ (* (sqrt (fma (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) 1/8)) (sqrt (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) -1/4))) (* (sqrt (fma (/ 1/2 (hypot 1 x)) (- (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 12.473 * * * * [progress]: [ 26 / 179 ] simplifiying candidate # 12.473 * [simplify]: Simplifying (* (sqrt (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 1/2))) (sqrt (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 1/2)))) 12.474 * * [simplify]: iters left: 6 (10 enodes) 12.481 * * [simplify]: iters left: 5 (42 enodes) 12.495 * * [simplify]: iters left: 4 (66 enodes) 12.513 * * [simplify]: iters left: 3 (84 enodes) 12.538 * * [simplify]: iters left: 2 (129 enodes) 12.580 * * [simplify]: iters left: 1 (181 enodes) 12.611 * * [simplify]: Extracting #0: cost 1 inf + 0 12.611 * * [simplify]: Extracting #1: cost 25 inf + 0 12.612 * * [simplify]: Extracting #2: cost 46 inf + 4 12.612 * * [simplify]: Extracting #3: cost 54 inf + 4 12.612 * * [simplify]: Extracting #4: cost 52 inf + 6 12.614 * * [simplify]: Extracting #5: cost 30 inf + 3341 12.619 * * [simplify]: Extracting #6: cost 1 inf + 7918 12.624 * * [simplify]: Extracting #7: cost 0 inf + 8004 12.629 * * [simplify]: Extracting #8: cost 0 inf + 7989 12.634 * [simplify]: Simplified to (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) -1/4) 12.634 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (/ (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) -1/4) (* (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))))) 12.635 * [simplify]: Simplifying (* (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2))) 12.635 * * [simplify]: iters left: 6 (8 enodes) 12.640 * * [simplify]: iters left: 5 (27 enodes) 12.649 * * [simplify]: iters left: 4 (32 enodes) 12.662 * * [simplify]: Extracting #0: cost 1 inf + 0 12.663 * * [simplify]: Extracting #1: cost 6 inf + 0 12.663 * * [simplify]: Extracting #2: cost 7 inf + 2 12.663 * * [simplify]: Extracting #3: cost 10 inf + 2 12.663 * * [simplify]: Extracting #4: cost 8 inf + 4 12.663 * * [simplify]: Extracting #5: cost 3 inf + 532 12.663 * * [simplify]: Extracting #6: cost 0 inf + 946 12.664 * [simplify]: Simplified to (- (/ 1/2 (hypot 1 x)) 1/2) 12.664 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 1) (/ (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) -1/4) (- (/ 1/2 (hypot 1 x)) 1/2))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 12.664 * * * * [progress]: [ 27 / 179 ] simplifiying candidate # 12.664 * * * * [progress]: [ 28 / 179 ] simplifiying candidate # 12.665 * [simplify]: Simplifying (* (* (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))))) 12.665 * * [simplify]: iters left: 6 (10 enodes) 12.670 * * [simplify]: iters left: 5 (37 enodes) 12.682 * * [simplify]: iters left: 4 (43 enodes) 12.696 * * [simplify]: iters left: 3 (53 enodes) 12.715 * * [simplify]: iters left: 2 (73 enodes) 12.741 * * [simplify]: iters left: 1 (119 enodes) 12.783 * * [simplify]: Extracting #0: cost 1 inf + 0 12.783 * * [simplify]: Extracting #1: cost 13 inf + 0 12.783 * * [simplify]: Extracting #2: cost 40 inf + 1 12.784 * * [simplify]: Extracting #3: cost 41 inf + 7 12.784 * * [simplify]: Extracting #4: cost 41 inf + 10 12.784 * * [simplify]: Extracting #5: cost 42 inf + 11 12.785 * * [simplify]: Extracting #6: cost 29 inf + 2397 12.788 * * [simplify]: Extracting #7: cost 10 inf + 12311 12.793 * * [simplify]: Extracting #8: cost 0 inf + 18798 12.798 * [simplify]: Simplified to (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 12.798 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (* (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 12.799 * [simplify]: Simplifying (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 12.799 * * [simplify]: iters left: 6 (9 enodes) 12.807 * * [simplify]: iters left: 5 (30 enodes) 12.817 * * [simplify]: iters left: 4 (32 enodes) 12.827 * * [simplify]: Extracting #0: cost 1 inf + 0 12.827 * * [simplify]: Extracting #1: cost 3 inf + 0 12.827 * * [simplify]: Extracting #2: cost 5 inf + 0 12.827 * * [simplify]: Extracting #3: cost 7 inf + 0 12.827 * * [simplify]: Extracting #4: cost 10 inf + 0 12.827 * * [simplify]: Extracting #5: cost 11 inf + 1 12.827 * * [simplify]: Extracting #6: cost 14 inf + 1 12.828 * * [simplify]: Extracting #7: cost 10 inf + 117 12.828 * * [simplify]: Extracting #8: cost 8 inf + 353 12.828 * * [simplify]: Extracting #9: cost 4 inf + 1025 12.829 * * [simplify]: Extracting #10: cost 0 inf + 2057 12.829 * [simplify]: Simplified to (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 12.829 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 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))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 12.830 * * * * [progress]: [ 29 / 179 ] simplifiying candidate # 12.830 * [simplify]: Simplifying (* (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)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 12.830 * * [simplify]: iters left: 6 (10 enodes) 12.836 * * [simplify]: iters left: 5 (32 enodes) 12.845 * * [simplify]: iters left: 4 (35 enodes) 12.853 * * [simplify]: Extracting #0: cost 1 inf + 0 12.853 * * [simplify]: Extracting #1: cost 4 inf + 0 12.854 * * [simplify]: Extracting #2: cost 7 inf + 0 12.854 * * [simplify]: Extracting #3: cost 10 inf + 0 12.854 * * [simplify]: Extracting #4: cost 11 inf + 1 12.854 * * [simplify]: Extracting #5: cost 14 inf + 1 12.854 * * [simplify]: Extracting #6: cost 11 inf + 60 12.854 * * [simplify]: Extracting #7: cost 8 inf + 353 12.854 * * [simplify]: Extracting #8: cost 1 inf + 1799 12.854 * * [simplify]: Extracting #9: cost 0 inf + 2057 12.855 * [simplify]: Simplified to (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 12.855 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (* (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 12.855 * [simplify]: Simplifying (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 12.855 * * [simplify]: iters left: 6 (9 enodes) 12.857 * * [simplify]: iters left: 5 (28 enodes) 12.862 * * [simplify]: iters left: 4 (31 enodes) 12.866 * * [simplify]: Extracting #0: cost 1 inf + 0 12.866 * * [simplify]: Extracting #1: cost 4 inf + 0 12.866 * * [simplify]: Extracting #2: cost 8 inf + 0 12.866 * * [simplify]: Extracting #3: cost 9 inf + 1 12.866 * * [simplify]: Extracting #4: cost 12 inf + 1 12.866 * * [simplify]: Extracting #5: cost 8 inf + 117 12.867 * * [simplify]: Extracting #6: cost 6 inf + 353 12.867 * * [simplify]: Extracting #7: cost 2 inf + 1065 12.867 * * [simplify]: Extracting #8: cost 0 inf + 1541 12.867 * [simplify]: Simplified to (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 12.867 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 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)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 12.867 * * * * [progress]: [ 30 / 179 ] simplifiying candidate # 12.868 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 12.868 * * [simplify]: iters left: 6 (9 enodes) 12.870 * * [simplify]: iters left: 5 (28 enodes) 12.874 * * [simplify]: iters left: 4 (31 enodes) 12.879 * * [simplify]: Extracting #0: cost 1 inf + 0 12.879 * * [simplify]: Extracting #1: cost 4 inf + 0 12.879 * * [simplify]: Extracting #2: cost 8 inf + 0 12.879 * * [simplify]: Extracting #3: cost 9 inf + 1 12.879 * * [simplify]: Extracting #4: cost 12 inf + 1 12.879 * * [simplify]: Extracting #5: cost 8 inf + 117 12.879 * * [simplify]: Extracting #6: cost 6 inf + 353 12.880 * * [simplify]: Extracting #7: cost 2 inf + 985 12.880 * * [simplify]: Extracting #8: cost 0 inf + 1381 12.880 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 12.880 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 12.880 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 12.880 * * [simplify]: iters left: 6 (9 enodes) 12.883 * * [simplify]: iters left: 5 (28 enodes) 12.891 * * [simplify]: iters left: 4 (31 enodes) 12.900 * * [simplify]: Extracting #0: cost 1 inf + 0 12.900 * * [simplify]: Extracting #1: cost 4 inf + 0 12.900 * * [simplify]: Extracting #2: cost 8 inf + 0 12.900 * * [simplify]: Extracting #3: cost 9 inf + 1 12.900 * * [simplify]: Extracting #4: cost 12 inf + 1 12.901 * * [simplify]: Extracting #5: cost 8 inf + 117 12.901 * * [simplify]: Extracting #6: cost 6 inf + 353 12.901 * * [simplify]: Extracting #7: cost 2 inf + 985 12.902 * * [simplify]: Extracting #8: cost 0 inf + 1381 12.902 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 12.902 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 1) (* (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (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))))) 12.902 * * * * [progress]: [ 31 / 179 ] simplifiying candidate # 12.903 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 12.903 * * [simplify]: iters left: 6 (9 enodes) 12.908 * * [simplify]: iters left: 5 (28 enodes) 12.916 * * [simplify]: iters left: 4 (31 enodes) 12.925 * * [simplify]: Extracting #0: cost 1 inf + 0 12.925 * * [simplify]: Extracting #1: cost 4 inf + 0 12.925 * * [simplify]: Extracting #2: cost 8 inf + 0 12.925 * * [simplify]: Extracting #3: cost 9 inf + 1 12.926 * * [simplify]: Extracting #4: cost 12 inf + 1 12.926 * * [simplify]: Extracting #5: cost 8 inf + 117 12.926 * * [simplify]: Extracting #6: cost 6 inf + 353 12.926 * * [simplify]: Extracting #7: cost 2 inf + 985 12.927 * * [simplify]: Extracting #8: cost 0 inf + 1381 12.927 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 12.927 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 12.928 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 12.928 * * [simplify]: iters left: 6 (9 enodes) 12.935 * * [simplify]: iters left: 5 (28 enodes) 12.943 * * [simplify]: iters left: 4 (31 enodes) 12.952 * * [simplify]: Extracting #0: cost 1 inf + 0 12.953 * * [simplify]: Extracting #1: cost 4 inf + 0 12.953 * * [simplify]: Extracting #2: cost 8 inf + 0 12.953 * * [simplify]: Extracting #3: cost 9 inf + 1 12.953 * * [simplify]: Extracting #4: cost 12 inf + 1 12.953 * * [simplify]: Extracting #5: cost 8 inf + 117 12.953 * * [simplify]: Extracting #6: cost 6 inf + 353 12.953 * * [simplify]: Extracting #7: cost 2 inf + 985 12.954 * * [simplify]: Extracting #8: cost 0 inf + 1381 12.955 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 12.955 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 1) (* (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (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))))) 12.955 * * * * [progress]: [ 32 / 179 ] simplifiying candidate # 12.955 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 12.955 * * [simplify]: iters left: 3 (3 enodes) 12.959 * * [simplify]: iters left: 2 (9 enodes) 12.961 * * [simplify]: iters left: 1 (11 enodes) 12.965 * * [simplify]: Extracting #0: cost 1 inf + 0 12.965 * * [simplify]: Extracting #1: cost 0 inf + 1 12.965 * [simplify]: Simplified to 1 12.965 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 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))))) 12.965 * [simplify]: Simplifying (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 12.965 * * [simplify]: iters left: 6 (8 enodes) 12.970 * * [simplify]: iters left: 5 (25 enodes) 12.978 * * [simplify]: iters left: 4 (28 enodes) 12.986 * * [simplify]: Extracting #0: cost 1 inf + 0 12.986 * * [simplify]: Extracting #1: cost 5 inf + 0 12.986 * * [simplify]: Extracting #2: cost 7 inf + 1 12.986 * * [simplify]: Extracting #3: cost 10 inf + 1 12.986 * * [simplify]: Extracting #4: cost 8 inf + 3 12.986 * * [simplify]: Extracting #5: cost 3 inf + 491 12.987 * * [simplify]: Extracting #6: cost 1 inf + 767 12.987 * * [simplify]: Extracting #7: cost 0 inf + 945 12.987 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 12.987 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 1) (* 1 (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 12.988 * * * * [progress]: [ 33 / 179 ] simplifiying candidate # 12.988 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 12.988 * * [simplify]: iters left: 3 (3 enodes) 12.992 * * [simplify]: iters left: 2 (9 enodes) 12.994 * * [simplify]: iters left: 1 (11 enodes) 12.997 * * [simplify]: Extracting #0: cost 1 inf + 0 12.997 * * [simplify]: Extracting #1: cost 0 inf + 1 12.997 * [simplify]: Simplified to 1 12.997 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 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))))) 12.997 * [simplify]: Simplifying (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 12.998 * * [simplify]: iters left: 6 (8 enodes) 13.002 * * [simplify]: iters left: 5 (25 enodes) 13.010 * * [simplify]: iters left: 4 (28 enodes) 13.019 * * [simplify]: Extracting #0: cost 1 inf + 0 13.019 * * [simplify]: Extracting #1: cost 5 inf + 0 13.019 * * [simplify]: Extracting #2: cost 7 inf + 1 13.019 * * [simplify]: Extracting #3: cost 10 inf + 1 13.019 * * [simplify]: Extracting #4: cost 8 inf + 3 13.019 * * [simplify]: Extracting #5: cost 3 inf + 491 13.019 * * [simplify]: Extracting #6: cost 1 inf + 767 13.020 * * [simplify]: Extracting #7: cost 0 inf + 945 13.020 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 13.020 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 1) (* 1 (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 13.020 * * * * [progress]: [ 34 / 179 ] simplifiying candidate # 13.021 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 13.021 * * [simplify]: iters left: 3 (3 enodes) 13.024 * * [simplify]: iters left: 2 (9 enodes) 13.027 * * [simplify]: iters left: 1 (11 enodes) 13.030 * * [simplify]: Extracting #0: cost 1 inf + 0 13.030 * * [simplify]: Extracting #1: cost 0 inf + 1 13.030 * [simplify]: Simplified to 1 13.030 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 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))))) 13.030 * [simplify]: Simplifying (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 13.030 * * [simplify]: iters left: 6 (8 enodes) 13.034 * * [simplify]: iters left: 5 (25 enodes) 13.042 * * [simplify]: iters left: 4 (28 enodes) 13.051 * * [simplify]: Extracting #0: cost 1 inf + 0 13.051 * * [simplify]: Extracting #1: cost 5 inf + 0 13.051 * * [simplify]: Extracting #2: cost 7 inf + 1 13.051 * * [simplify]: Extracting #3: cost 10 inf + 1 13.052 * * [simplify]: Extracting #4: cost 8 inf + 3 13.052 * * [simplify]: Extracting #5: cost 3 inf + 491 13.052 * * [simplify]: Extracting #6: cost 1 inf + 767 13.052 * * [simplify]: Extracting #7: cost 0 inf + 945 13.053 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 13.053 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 1) (* 1 (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 13.053 * * * * [progress]: [ 35 / 179 ] simplifiying candidate # 13.053 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 13.053 * * [simplify]: iters left: 3 (3 enodes) 13.057 * * [simplify]: iters left: 2 (9 enodes) 13.060 * * [simplify]: iters left: 1 (11 enodes) 13.063 * * [simplify]: Extracting #0: cost 1 inf + 0 13.063 * * [simplify]: Extracting #1: cost 0 inf + 1 13.063 * [simplify]: Simplified to 1 13.063 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 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))))) 13.063 * [simplify]: Simplifying (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 13.063 * * [simplify]: iters left: 6 (8 enodes) 13.068 * * [simplify]: iters left: 5 (25 enodes) 13.076 * * [simplify]: iters left: 4 (28 enodes) 13.084 * * [simplify]: Extracting #0: cost 1 inf + 0 13.084 * * [simplify]: Extracting #1: cost 5 inf + 0 13.084 * * [simplify]: Extracting #2: cost 7 inf + 1 13.084 * * [simplify]: Extracting #3: cost 10 inf + 1 13.084 * * [simplify]: Extracting #4: cost 8 inf + 3 13.084 * * [simplify]: Extracting #5: cost 3 inf + 491 13.085 * * [simplify]: Extracting #6: cost 1 inf + 767 13.085 * * [simplify]: Extracting #7: cost 0 inf + 945 13.086 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 13.086 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 1) (* 1 (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 13.086 * * * * [progress]: [ 36 / 179 ] simplifiying candidate # 13.086 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 13.086 * * [simplify]: iters left: 6 (9 enodes) 13.094 * * [simplify]: iters left: 5 (28 enodes) 13.103 * * [simplify]: iters left: 4 (31 enodes) 13.112 * * [simplify]: Extracting #0: cost 1 inf + 0 13.112 * * [simplify]: Extracting #1: cost 4 inf + 0 13.112 * * [simplify]: Extracting #2: cost 8 inf + 0 13.112 * * [simplify]: Extracting #3: cost 9 inf + 1 13.112 * * [simplify]: Extracting #4: cost 12 inf + 1 13.112 * * [simplify]: Extracting #5: cost 8 inf + 117 13.113 * * [simplify]: Extracting #6: cost 6 inf + 353 13.113 * * [simplify]: Extracting #7: cost 2 inf + 985 13.113 * * [simplify]: Extracting #8: cost 0 inf + 1381 13.114 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 13.114 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 13.114 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 13.115 * * [simplify]: iters left: 6 (9 enodes) 13.119 * * [simplify]: iters left: 5 (28 enodes) 13.128 * * [simplify]: iters left: 4 (31 enodes) 13.133 * * [simplify]: Extracting #0: cost 1 inf + 0 13.133 * * [simplify]: Extracting #1: cost 4 inf + 0 13.133 * * [simplify]: Extracting #2: cost 8 inf + 0 13.133 * * [simplify]: Extracting #3: cost 9 inf + 1 13.133 * * [simplify]: Extracting #4: cost 12 inf + 1 13.133 * * [simplify]: Extracting #5: cost 8 inf + 117 13.133 * * [simplify]: Extracting #6: cost 6 inf + 353 13.133 * * [simplify]: Extracting #7: cost 2 inf + 985 13.133 * * [simplify]: Extracting #8: cost 0 inf + 1381 13.134 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 13.134 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 1) (* (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (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))))) 13.134 * * * * [progress]: [ 37 / 179 ] simplifiying candidate # 13.134 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 13.134 * * [simplify]: iters left: 6 (9 enodes) 13.136 * * [simplify]: iters left: 5 (28 enodes) 13.141 * * [simplify]: iters left: 4 (31 enodes) 13.145 * * [simplify]: Extracting #0: cost 1 inf + 0 13.145 * * [simplify]: Extracting #1: cost 4 inf + 0 13.145 * * [simplify]: Extracting #2: cost 8 inf + 0 13.145 * * [simplify]: Extracting #3: cost 9 inf + 1 13.145 * * [simplify]: Extracting #4: cost 12 inf + 1 13.145 * * [simplify]: Extracting #5: cost 8 inf + 117 13.145 * * [simplify]: Extracting #6: cost 6 inf + 353 13.145 * * [simplify]: Extracting #7: cost 2 inf + 985 13.146 * * [simplify]: Extracting #8: cost 0 inf + 1381 13.146 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 13.146 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 13.146 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 13.146 * * [simplify]: iters left: 6 (9 enodes) 13.149 * * [simplify]: iters left: 5 (28 enodes) 13.153 * * [simplify]: iters left: 4 (31 enodes) 13.158 * * [simplify]: Extracting #0: cost 1 inf + 0 13.158 * * [simplify]: Extracting #1: cost 4 inf + 0 13.158 * * [simplify]: Extracting #2: cost 8 inf + 0 13.158 * * [simplify]: Extracting #3: cost 9 inf + 1 13.158 * * [simplify]: Extracting #4: cost 12 inf + 1 13.158 * * [simplify]: Extracting #5: cost 8 inf + 117 13.158 * * [simplify]: Extracting #6: cost 6 inf + 353 13.158 * * [simplify]: Extracting #7: cost 2 inf + 985 13.159 * * [simplify]: Extracting #8: cost 0 inf + 1381 13.159 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 13.159 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 1) (* (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (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))))) 13.159 * * * * [progress]: [ 38 / 179 ] simplifiying candidate # 13.159 * [simplify]: Simplifying (* 1 1) 13.159 * * [simplify]: iters left: 2 (2 enodes) 13.160 * * [simplify]: iters left: 1 (6 enodes) 13.161 * * [simplify]: Extracting #0: cost 1 inf + 0 13.161 * * [simplify]: Extracting #1: cost 0 inf + 1 13.161 * [simplify]: Simplified to 1 13.161 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 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))))) 13.162 * [simplify]: Simplifying (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 13.162 * * [simplify]: iters left: 6 (8 enodes) 13.164 * * [simplify]: iters left: 5 (25 enodes) 13.168 * * [simplify]: iters left: 4 (28 enodes) 13.172 * * [simplify]: Extracting #0: cost 1 inf + 0 13.172 * * [simplify]: Extracting #1: cost 5 inf + 0 13.172 * * [simplify]: Extracting #2: cost 7 inf + 1 13.172 * * [simplify]: Extracting #3: cost 10 inf + 1 13.172 * * [simplify]: Extracting #4: cost 8 inf + 3 13.172 * * [simplify]: Extracting #5: cost 3 inf + 491 13.172 * * [simplify]: Extracting #6: cost 1 inf + 767 13.173 * * [simplify]: Extracting #7: cost 0 inf + 945 13.173 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 13.173 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 1) (* (* 1 1) (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 13.173 * * * * [progress]: [ 39 / 179 ] simplifiying candidate # 13.173 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 13.173 * * [simplify]: iters left: 6 (9 enodes) 13.176 * * [simplify]: iters left: 5 (28 enodes) 13.180 * * [simplify]: iters left: 4 (31 enodes) 13.190 * * [simplify]: Extracting #0: cost 1 inf + 0 13.190 * * [simplify]: Extracting #1: cost 4 inf + 0 13.190 * * [simplify]: Extracting #2: cost 8 inf + 0 13.190 * * [simplify]: Extracting #3: cost 9 inf + 1 13.190 * * [simplify]: Extracting #4: cost 12 inf + 1 13.190 * * [simplify]: Extracting #5: cost 8 inf + 117 13.190 * * [simplify]: Extracting #6: cost 6 inf + 353 13.191 * * [simplify]: Extracting #7: cost 2 inf + 985 13.191 * * [simplify]: Extracting #8: cost 0 inf + 1381 13.192 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 13.192 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 13.192 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 13.192 * * [simplify]: iters left: 6 (9 enodes) 13.197 * * [simplify]: iters left: 5 (28 enodes) 13.207 * * [simplify]: iters left: 4 (31 enodes) 13.211 * * [simplify]: Extracting #0: cost 1 inf + 0 13.211 * * [simplify]: Extracting #1: cost 4 inf + 0 13.211 * * [simplify]: Extracting #2: cost 8 inf + 0 13.211 * * [simplify]: Extracting #3: cost 9 inf + 1 13.211 * * [simplify]: Extracting #4: cost 12 inf + 1 13.212 * * [simplify]: Extracting #5: cost 8 inf + 117 13.212 * * [simplify]: Extracting #6: cost 6 inf + 353 13.212 * * [simplify]: Extracting #7: cost 2 inf + 985 13.212 * * [simplify]: Extracting #8: cost 0 inf + 1381 13.212 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 13.212 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 1) (* (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (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))))) 13.212 * * * * [progress]: [ 40 / 179 ] simplifiying candidate # 13.213 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 13.213 * * [simplify]: iters left: 6 (9 enodes) 13.215 * * [simplify]: iters left: 5 (28 enodes) 13.220 * * [simplify]: iters left: 4 (31 enodes) 13.224 * * [simplify]: Extracting #0: cost 1 inf + 0 13.224 * * [simplify]: Extracting #1: cost 4 inf + 0 13.224 * * [simplify]: Extracting #2: cost 8 inf + 0 13.224 * * [simplify]: Extracting #3: cost 9 inf + 1 13.224 * * [simplify]: Extracting #4: cost 12 inf + 1 13.224 * * [simplify]: Extracting #5: cost 8 inf + 117 13.224 * * [simplify]: Extracting #6: cost 6 inf + 353 13.225 * * [simplify]: Extracting #7: cost 2 inf + 985 13.225 * * [simplify]: Extracting #8: cost 0 inf + 1381 13.225 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 13.225 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 13.225 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 13.225 * * [simplify]: iters left: 6 (9 enodes) 13.228 * * [simplify]: iters left: 5 (28 enodes) 13.233 * * [simplify]: iters left: 4 (31 enodes) 13.242 * * [simplify]: Extracting #0: cost 1 inf + 0 13.242 * * [simplify]: Extracting #1: cost 4 inf + 0 13.242 * * [simplify]: Extracting #2: cost 8 inf + 0 13.242 * * [simplify]: Extracting #3: cost 9 inf + 1 13.242 * * [simplify]: Extracting #4: cost 12 inf + 1 13.242 * * [simplify]: Extracting #5: cost 8 inf + 117 13.243 * * [simplify]: Extracting #6: cost 6 inf + 353 13.243 * * [simplify]: Extracting #7: cost 2 inf + 985 13.243 * * [simplify]: Extracting #8: cost 0 inf + 1381 13.244 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 13.245 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 1) (* (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (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))))) 13.245 * * * * [progress]: [ 41 / 179 ] simplifiying candidate # 13.245 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 13.245 * * [simplify]: iters left: 6 (9 enodes) 13.250 * * [simplify]: iters left: 5 (28 enodes) 13.259 * * [simplify]: iters left: 4 (31 enodes) 13.266 * * [simplify]: Extracting #0: cost 1 inf + 0 13.266 * * [simplify]: Extracting #1: cost 4 inf + 0 13.266 * * [simplify]: Extracting #2: cost 8 inf + 0 13.266 * * [simplify]: Extracting #3: cost 9 inf + 1 13.266 * * [simplify]: Extracting #4: cost 12 inf + 1 13.266 * * [simplify]: Extracting #5: cost 8 inf + 117 13.266 * * [simplify]: Extracting #6: cost 6 inf + 353 13.266 * * [simplify]: Extracting #7: cost 2 inf + 985 13.267 * * [simplify]: Extracting #8: cost 0 inf + 1381 13.267 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 13.267 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 13.267 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 13.267 * * [simplify]: iters left: 6 (9 enodes) 13.270 * * [simplify]: iters left: 5 (28 enodes) 13.274 * * [simplify]: iters left: 4 (31 enodes) 13.279 * * [simplify]: Extracting #0: cost 1 inf + 0 13.279 * * [simplify]: Extracting #1: cost 4 inf + 0 13.279 * * [simplify]: Extracting #2: cost 8 inf + 0 13.279 * * [simplify]: Extracting #3: cost 9 inf + 1 13.279 * * [simplify]: Extracting #4: cost 12 inf + 1 13.279 * * [simplify]: Extracting #5: cost 8 inf + 117 13.279 * * [simplify]: Extracting #6: cost 6 inf + 353 13.279 * * [simplify]: Extracting #7: cost 2 inf + 985 13.279 * * [simplify]: Extracting #8: cost 0 inf + 1381 13.280 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 13.280 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 1) (* (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (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))))) 13.280 * * * * [progress]: [ 42 / 179 ] simplifiying candidate # 13.280 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 13.280 * * [simplify]: iters left: 6 (9 enodes) 13.282 * * [simplify]: iters left: 5 (28 enodes) 13.287 * * [simplify]: iters left: 4 (31 enodes) 13.291 * * [simplify]: Extracting #0: cost 1 inf + 0 13.291 * * [simplify]: Extracting #1: cost 4 inf + 0 13.291 * * [simplify]: Extracting #2: cost 8 inf + 0 13.291 * * [simplify]: Extracting #3: cost 9 inf + 1 13.291 * * [simplify]: Extracting #4: cost 12 inf + 1 13.291 * * [simplify]: Extracting #5: cost 8 inf + 117 13.291 * * [simplify]: Extracting #6: cost 6 inf + 353 13.291 * * [simplify]: Extracting #7: cost 2 inf + 985 13.292 * * [simplify]: Extracting #8: cost 0 inf + 1381 13.292 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 13.292 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 13.292 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 13.292 * * [simplify]: iters left: 6 (9 enodes) 13.295 * * [simplify]: iters left: 5 (28 enodes) 13.299 * * [simplify]: iters left: 4 (31 enodes) 13.310 * * [simplify]: Extracting #0: cost 1 inf + 0 13.310 * * [simplify]: Extracting #1: cost 4 inf + 0 13.310 * * [simplify]: Extracting #2: cost 8 inf + 0 13.310 * * [simplify]: Extracting #3: cost 9 inf + 1 13.310 * * [simplify]: Extracting #4: cost 12 inf + 1 13.310 * * [simplify]: Extracting #5: cost 8 inf + 117 13.310 * * [simplify]: Extracting #6: cost 6 inf + 353 13.311 * * [simplify]: Extracting #7: cost 2 inf + 985 13.311 * * [simplify]: Extracting #8: cost 0 inf + 1381 13.311 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 13.312 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 1) (* (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (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))))) 13.312 * * * * [progress]: [ 43 / 179 ] simplifiying candidate # 13.312 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 13.312 * * [simplify]: iters left: 5 (6 enodes) 13.314 * * [simplify]: iters left: 4 (21 enodes) 13.317 * * [simplify]: iters left: 3 (23 enodes) 13.320 * * [simplify]: Extracting #0: cost 1 inf + 0 13.320 * * [simplify]: Extracting #1: cost 4 inf + 0 13.320 * * [simplify]: Extracting #2: cost 5 inf + 1 13.320 * * [simplify]: Extracting #3: cost 8 inf + 1 13.321 * * [simplify]: Extracting #4: cost 6 inf + 3 13.321 * * [simplify]: Extracting #5: cost 0 inf + 589 13.321 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 13.321 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (pow (+ 1/2 (/ 1/2 (hypot 1 x))) (* 2 1/2))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 13.321 * [simplify]: Simplifying (* 2 1/2) 13.321 * * [simplify]: iters left: 2 (3 enodes) 13.323 * * [simplify]: iters left: 1 (11 enodes) 13.325 * * [simplify]: Extracting #0: cost 1 inf + 0 13.325 * * [simplify]: Extracting #1: cost 0 inf + 1 13.325 * [simplify]: Simplified to 1 13.325 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 1) (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 1)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 13.325 * * * * [progress]: [ 44 / 179 ] simplifiying candidate # 13.325 * [simplify]: Simplifying (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 13.325 * * [simplify]: iters left: 6 (7 enodes) 13.327 * * [simplify]: iters left: 5 (24 enodes) 13.331 * * [simplify]: iters left: 4 (26 enodes) 13.334 * * [simplify]: Extracting #0: cost 1 inf + 0 13.334 * * [simplify]: Extracting #1: cost 3 inf + 0 13.334 * * [simplify]: Extracting #2: cost 6 inf + 0 13.334 * * [simplify]: Extracting #3: cost 7 inf + 1 13.334 * * [simplify]: Extracting #4: cost 10 inf + 1 13.334 * * [simplify]: Extracting #5: cost 6 inf + 117 13.335 * * [simplify]: Extracting #6: cost 2 inf + 629 13.335 * * [simplify]: Extracting #7: cost 0 inf + 945 13.335 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 13.335 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (pow (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (* 2 1))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 13.335 * [simplify]: Simplifying (* 2 1) 13.335 * * [simplify]: iters left: 2 (3 enodes) 13.336 * * [simplify]: iters left: 1 (9 enodes) 13.338 * * [simplify]: Extracting #0: cost 1 inf + 0 13.338 * * [simplify]: Extracting #1: cost 0 inf + 1 13.338 * [simplify]: Simplified to 2 13.338 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 1) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 2)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 13.338 * * * * [progress]: [ 45 / 179 ] simplifiying candidate # 13.338 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 13.339 * * [simplify]: iters left: 5 (6 enodes) 13.340 * * [simplify]: iters left: 4 (21 enodes) 13.344 * * [simplify]: iters left: 3 (23 enodes) 13.351 * * [simplify]: Extracting #0: cost 1 inf + 0 13.351 * * [simplify]: Extracting #1: cost 4 inf + 0 13.351 * * [simplify]: Extracting #2: cost 5 inf + 1 13.351 * * [simplify]: Extracting #3: cost 8 inf + 1 13.351 * * [simplify]: Extracting #4: cost 6 inf + 3 13.351 * * [simplify]: Extracting #5: cost 0 inf + 589 13.351 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 13.352 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (pow (+ 1/2 (/ 1/2 (hypot 1 x))) (* 2 (/ 1 2)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 13.352 * [simplify]: Simplifying (* 2 (/ 1 2)) 13.352 * * [simplify]: iters left: 4 (4 enodes) 13.356 * * [simplify]: iters left: 3 (13 enodes) 13.360 * * [simplify]: iters left: 2 (15 enodes) 13.362 * * [simplify]: Extracting #0: cost 1 inf + 0 13.362 * * [simplify]: Extracting #1: cost 0 inf + 1 13.362 * [simplify]: Simplified to 1 13.362 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 1) (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 1)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 13.362 * * * * [progress]: [ 46 / 179 ] simplifiying candidate # 13.363 * [simplify]: Simplifying (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 13.363 * * [simplify]: iters left: 6 (8 enodes) 13.365 * * [simplify]: iters left: 5 (27 enodes) 13.369 * * [simplify]: iters left: 4 (29 enodes) 13.373 * * [simplify]: Extracting #0: cost 1 inf + 0 13.373 * * [simplify]: Extracting #1: cost 3 inf + 0 13.373 * * [simplify]: Extracting #2: cost 5 inf + 0 13.373 * * [simplify]: Extracting #3: cost 8 inf + 0 13.373 * * [simplify]: Extracting #4: cost 9 inf + 1 13.374 * * [simplify]: Extracting #5: cost 12 inf + 1 13.374 * * [simplify]: Extracting #6: cost 9 inf + 60 13.374 * * [simplify]: Extracting #7: cost 5 inf + 451 13.374 * * [simplify]: Extracting #8: cost 1 inf + 1203 13.374 * * [simplify]: Extracting #9: cost 0 inf + 1461 13.374 * [simplify]: Simplified to (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 13.374 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 1) (* (* (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 (/ 1/2 (hypot 1 x))))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 13.374 * * * * [progress]: [ 47 / 179 ] simplifiying candidate # 13.375 * [simplify]: Simplifying (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 13.375 * * [simplify]: iters left: 6 (8 enodes) 13.377 * * [simplify]: iters left: 5 (27 enodes) 13.381 * * [simplify]: iters left: 4 (29 enodes) 13.385 * * [simplify]: Extracting #0: cost 1 inf + 0 13.385 * * [simplify]: Extracting #1: cost 3 inf + 0 13.385 * * [simplify]: Extracting #2: cost 5 inf + 0 13.385 * * [simplify]: Extracting #3: cost 8 inf + 0 13.385 * * [simplify]: Extracting #4: cost 9 inf + 1 13.385 * * [simplify]: Extracting #5: cost 12 inf + 1 13.385 * * [simplify]: Extracting #6: cost 9 inf + 60 13.385 * * [simplify]: Extracting #7: cost 5 inf + 451 13.386 * * [simplify]: Extracting #8: cost 1 inf + 1283 13.386 * * [simplify]: Extracting #9: cost 0 inf + 1541 13.386 * [simplify]: Simplified to (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 13.386 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 1) (* (* (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 (/ 1/2 (hypot 1 x))))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 13.386 * * * * [progress]: [ 48 / 179 ] simplifiying candidate # 13.386 * [simplify]: Simplifying (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 13.386 * * [simplify]: iters left: 6 (8 enodes) 13.390 * * [simplify]: iters left: 5 (27 enodes) 13.398 * * [simplify]: iters left: 4 (29 enodes) 13.405 * * [simplify]: Extracting #0: cost 1 inf + 0 13.405 * * [simplify]: Extracting #1: cost 3 inf + 0 13.405 * * [simplify]: Extracting #2: cost 5 inf + 0 13.405 * * [simplify]: Extracting #3: cost 8 inf + 0 13.405 * * [simplify]: Extracting #4: cost 9 inf + 1 13.405 * * [simplify]: Extracting #5: cost 12 inf + 1 13.405 * * [simplify]: Extracting #6: cost 9 inf + 60 13.405 * * [simplify]: Extracting #7: cost 5 inf + 451 13.405 * * [simplify]: Extracting #8: cost 1 inf + 1163 13.406 * * [simplify]: Extracting #9: cost 0 inf + 1381 13.406 * [simplify]: Simplified to (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 13.406 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 1) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 13.406 * * * * [progress]: [ 49 / 179 ] simplifiying candidate # 13.406 * [simplify]: Simplifying (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 13.406 * * [simplify]: iters left: 6 (7 enodes) 13.408 * * [simplify]: iters left: 5 (24 enodes) 13.412 * * [simplify]: iters left: 4 (26 enodes) 13.416 * * [simplify]: Extracting #0: cost 1 inf + 0 13.416 * * [simplify]: Extracting #1: cost 3 inf + 0 13.416 * * [simplify]: Extracting #2: cost 6 inf + 0 13.416 * * [simplify]: Extracting #3: cost 7 inf + 1 13.416 * * [simplify]: Extracting #4: cost 10 inf + 1 13.416 * * [simplify]: Extracting #5: cost 6 inf + 117 13.416 * * [simplify]: Extracting #6: cost 2 inf + 629 13.416 * * [simplify]: Extracting #7: cost 0 inf + 945 13.416 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 13.416 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 1) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 13.417 * * * * [progress]: [ 50 / 179 ] simplifiying candidate # 13.417 * [simplify]: Simplifying (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 13.417 * * [simplify]: iters left: 6 (7 enodes) 13.419 * * [simplify]: iters left: 5 (24 enodes) 13.422 * * [simplify]: iters left: 4 (26 enodes) 13.426 * * [simplify]: Extracting #0: cost 1 inf + 0 13.426 * * [simplify]: Extracting #1: cost 3 inf + 0 13.426 * * [simplify]: Extracting #2: cost 6 inf + 0 13.426 * * [simplify]: Extracting #3: cost 7 inf + 1 13.426 * * [simplify]: Extracting #4: cost 10 inf + 1 13.426 * * [simplify]: Extracting #5: cost 6 inf + 117 13.426 * * [simplify]: Extracting #6: cost 2 inf + 629 13.427 * * [simplify]: Extracting #7: cost 0 inf + 945 13.427 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 13.427 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 1) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 13.427 * * * * [progress]: [ 51 / 179 ] simplifiying candidate # 13.427 * [simplify]: Simplifying (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 13.427 * * [simplify]: iters left: 6 (8 enodes) 13.429 * * [simplify]: iters left: 5 (27 enodes) 13.435 * * [simplify]: iters left: 4 (29 enodes) 13.444 * * [simplify]: Extracting #0: cost 1 inf + 0 13.444 * * [simplify]: Extracting #1: cost 3 inf + 0 13.444 * * [simplify]: Extracting #2: cost 5 inf + 0 13.445 * * [simplify]: Extracting #3: cost 8 inf + 0 13.445 * * [simplify]: Extracting #4: cost 9 inf + 1 13.445 * * [simplify]: Extracting #5: cost 12 inf + 1 13.445 * * [simplify]: Extracting #6: cost 9 inf + 60 13.445 * * [simplify]: Extracting #7: cost 5 inf + 451 13.445 * * [simplify]: Extracting #8: cost 1 inf + 1163 13.446 * * [simplify]: Extracting #9: cost 0 inf + 1381 13.446 * [simplify]: Simplified to (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 13.446 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 1) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 13.447 * * * * [progress]: [ 52 / 179 ] simplifiying candidate # 13.447 * [simplify]: Simplifying (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 13.447 * * [simplify]: iters left: 6 (7 enodes) 13.451 * * [simplify]: iters left: 5 (24 enodes) 13.458 * * [simplify]: iters left: 4 (26 enodes) 13.466 * * [simplify]: Extracting #0: cost 1 inf + 0 13.466 * * [simplify]: Extracting #1: cost 3 inf + 0 13.466 * * [simplify]: Extracting #2: cost 6 inf + 0 13.466 * * [simplify]: Extracting #3: cost 7 inf + 1 13.467 * * [simplify]: Extracting #4: cost 10 inf + 1 13.467 * * [simplify]: Extracting #5: cost 6 inf + 117 13.467 * * [simplify]: Extracting #6: cost 2 inf + 629 13.467 * * [simplify]: Extracting #7: cost 0 inf + 945 13.468 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 13.468 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 1) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 13.468 * * * * [progress]: [ 53 / 179 ] simplifiying candidate # 13.468 * [simplify]: Simplifying (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 13.468 * * [simplify]: iters left: 6 (9 enodes) 13.473 * * [simplify]: iters left: 5 (30 enodes) 13.482 * * [simplify]: iters left: 4 (32 enodes) 13.491 * * [simplify]: Extracting #0: cost 1 inf + 0 13.491 * * [simplify]: Extracting #1: cost 3 inf + 0 13.491 * * [simplify]: Extracting #2: cost 5 inf + 0 13.491 * * [simplify]: Extracting #3: cost 7 inf + 0 13.491 * * [simplify]: Extracting #4: cost 10 inf + 0 13.491 * * [simplify]: Extracting #5: cost 11 inf + 1 13.491 * * [simplify]: Extracting #6: cost 14 inf + 1 13.491 * * [simplify]: Extracting #7: cost 10 inf + 117 13.492 * * [simplify]: Extracting #8: cost 8 inf + 353 13.492 * * [simplify]: Extracting #9: cost 4 inf + 1025 13.492 * * [simplify]: Extracting #10: cost 0 inf + 2057 13.493 * [simplify]: Simplified to (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 13.493 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (* (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (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))))) 13.493 * * * * [progress]: [ 54 / 179 ] simplifiying candidate # 13.494 * [simplify]: Simplifying (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 13.494 * * [simplify]: iters left: 6 (9 enodes) 13.498 * * [simplify]: iters left: 5 (31 enodes) 13.508 * * [simplify]: iters left: 4 (33 enodes) 13.518 * * [simplify]: Extracting #0: cost 1 inf + 0 13.518 * * [simplify]: Extracting #1: cost 4 inf + 0 13.518 * * [simplify]: Extracting #2: cost 7 inf + 0 13.518 * * [simplify]: Extracting #3: cost 10 inf + 0 13.518 * * [simplify]: Extracting #4: cost 11 inf + 1 13.518 * * [simplify]: Extracting #5: cost 14 inf + 1 13.518 * * [simplify]: Extracting #6: cost 11 inf + 60 13.518 * * [simplify]: Extracting #7: cost 7 inf + 451 13.519 * * [simplify]: Extracting #8: cost 0 inf + 2057 13.520 * [simplify]: Simplified to (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 13.520 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (* (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 13.520 * * * * [progress]: [ 55 / 179 ] simplifiying candidate # 13.520 * [simplify]: Simplifying (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 13.520 * * [simplify]: iters left: 6 (8 enodes) 13.525 * * [simplify]: iters left: 5 (27 enodes) 13.536 * * [simplify]: iters left: 4 (29 enodes) 13.545 * * [simplify]: Extracting #0: cost 1 inf + 0 13.545 * * [simplify]: Extracting #1: cost 3 inf + 0 13.545 * * [simplify]: Extracting #2: cost 5 inf + 0 13.545 * * [simplify]: Extracting #3: cost 8 inf + 0 13.546 * * [simplify]: Extracting #4: cost 9 inf + 1 13.546 * * [simplify]: Extracting #5: cost 12 inf + 1 13.546 * * [simplify]: Extracting #6: cost 9 inf + 60 13.546 * * [simplify]: Extracting #7: cost 5 inf + 451 13.546 * * [simplify]: Extracting #8: cost 1 inf + 1163 13.547 * * [simplify]: Extracting #9: cost 0 inf + 1381 13.547 * [simplify]: Simplified to (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 13.547 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (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))))) 13.547 * * * * [progress]: [ 56 / 179 ] simplifiying candidate # 13.548 * [simplify]: Simplifying (sqrt 1) 13.548 * * [simplify]: iters left: 1 (2 enodes) 13.551 * * [simplify]: Extracting #0: cost 1 inf + 0 13.551 * * [simplify]: Extracting #1: cost 0 inf + 1 13.551 * [simplify]: Simplified to 1 13.551 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 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))))) 13.551 * * * * [progress]: [ 57 / 179 ] simplifiying candidate # 13.552 * [simplify]: Simplifying (sqrt 1) 13.552 * * [simplify]: iters left: 1 (2 enodes) 13.555 * * [simplify]: Extracting #0: cost 1 inf + 0 13.555 * * [simplify]: Extracting #1: cost 0 inf + 1 13.555 * [simplify]: Simplified to 1 13.555 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 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))))) 13.555 * * * * [progress]: [ 58 / 179 ] simplifiying candidate # 13.555 * [simplify]: Simplifying (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 13.555 * * [simplify]: iters left: 6 (8 enodes) 13.559 * * [simplify]: iters left: 5 (27 enodes) 13.568 * * [simplify]: iters left: 4 (29 enodes) 13.577 * * [simplify]: Extracting #0: cost 1 inf + 0 13.577 * * [simplify]: Extracting #1: cost 3 inf + 0 13.577 * * [simplify]: Extracting #2: cost 5 inf + 0 13.577 * * [simplify]: Extracting #3: cost 8 inf + 0 13.577 * * [simplify]: Extracting #4: cost 9 inf + 1 13.577 * * [simplify]: Extracting #5: cost 12 inf + 1 13.577 * * [simplify]: Extracting #6: cost 9 inf + 60 13.577 * * [simplify]: Extracting #7: cost 5 inf + 451 13.578 * * [simplify]: Extracting #8: cost 1 inf + 1163 13.578 * * [simplify]: Extracting #9: cost 0 inf + 1381 13.579 * [simplify]: Simplified to (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 13.579 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (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))))) 13.579 * * * * [progress]: [ 59 / 179 ] simplifiying candidate # 13.579 * * * * [progress]: [ 60 / 179 ] simplifiying candidate # 13.579 * [simplify]: Simplifying (sqrt (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) 1/2)))) 13.580 * * [simplify]: iters left: 6 (11 enodes) 13.587 * * [simplify]: iters left: 5 (49 enodes) 13.603 * * [simplify]: iters left: 4 (79 enodes) 13.629 * * [simplify]: iters left: 3 (107 enodes) 13.658 * * [simplify]: iters left: 2 (164 enodes) 13.689 * * [simplify]: iters left: 1 (240 enodes) 13.764 * * [simplify]: Extracting #0: cost 1 inf + 0 13.764 * * [simplify]: Extracting #1: cost 3 inf + 0 13.764 * * [simplify]: Extracting #2: cost 30 inf + 0 13.765 * * [simplify]: Extracting #3: cost 66 inf + 3 13.765 * * [simplify]: Extracting #4: cost 73 inf + 4 13.766 * * [simplify]: Extracting #5: cost 71 inf + 6 13.767 * * [simplify]: Extracting #6: cost 44 inf + 3250 13.773 * * [simplify]: Extracting #7: cost 1 inf + 11101 13.780 * * [simplify]: Extracting #8: cost 0 inf + 11219 13.787 * [simplify]: Simplified to (sqrt (fma (- (/ 1/2 (hypot 1 x)) 1/2) (/ 1/2 (hypot 1 x)) 1/4)) 13.787 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 1) (/ (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (pow (/ 1/2 (hypot 1 x)) 3) (pow 1/2 3)))) (sqrt (fma (- (/ 1/2 (hypot 1 x)) 1/2) (/ 1/2 (hypot 1 x)) 1/4)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 13.788 * * * * [progress]: [ 61 / 179 ] simplifiying candidate # 13.788 * [simplify]: Simplifying (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) 13.788 * * [simplify]: iters left: 6 (7 enodes) 13.793 * * [simplify]: iters left: 5 (26 enodes) 13.801 * * [simplify]: iters left: 4 (30 enodes) 13.810 * * [simplify]: Extracting #0: cost 1 inf + 0 13.811 * * [simplify]: Extracting #1: cost 3 inf + 0 13.811 * * [simplify]: Extracting #2: cost 7 inf + 0 13.811 * * [simplify]: Extracting #3: cost 7 inf + 2 13.811 * * [simplify]: Extracting #4: cost 10 inf + 2 13.811 * * [simplify]: Extracting #5: cost 6 inf + 118 13.811 * * [simplify]: Extracting #6: cost 4 inf + 354 13.811 * * [simplify]: Extracting #7: cost 1 inf + 768 13.812 * * [simplify]: Extracting #8: cost 0 inf + 946 13.812 * [simplify]: Simplified to (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) 13.812 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 1) (/ (* (sqrt (+ (/ 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 13.812 * * * * [progress]: [ 62 / 179 ] simplifiying candidate # 13.813 * [simplify]: Simplifying (* (sqrt (+ (pow (/ 1/2 (hypot 1 x)) 3) (pow 1/2 3))) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 13.813 * * [simplify]: iters left: 6 (13 enodes) 13.822 * * [simplify]: iters left: 5 (61 enodes) 13.844 * * [simplify]: iters left: 4 (106 enodes) 13.871 * * [simplify]: iters left: 3 (195 enodes) 13.924 * * [simplify]: iters left: 2 (325 enodes) 14.071 * * [simplify]: Extracting #0: cost 1 inf + 0 14.072 * * [simplify]: Extracting #1: cost 4 inf + 0 14.072 * * [simplify]: Extracting #2: cost 8 inf + 0 14.072 * * [simplify]: Extracting #3: cost 16 inf + 0 14.072 * * [simplify]: Extracting #4: cost 54 inf + 2 14.073 * * [simplify]: Extracting #5: cost 107 inf + 6 14.074 * * [simplify]: Extracting #6: cost 90 inf + 2890 14.079 * * [simplify]: Extracting #7: cost 23 inf + 21236 14.089 * * [simplify]: Extracting #8: cost 3 inf + 32024 14.094 * * [simplify]: Extracting #9: cost 0 inf + 34166 14.098 * [simplify]: Simplified to (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))))) 14.098 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (/ (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))))) (sqrt (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) 1/2)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 14.098 * * * * [progress]: [ 63 / 179 ] simplifiying candidate # 14.098 * [simplify]: Simplifying (* (sqrt (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 1/2))) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 14.098 * * [simplify]: iters left: 6 (12 enodes) 14.103 * * [simplify]: iters left: 5 (51 enodes) 14.112 * * [simplify]: iters left: 4 (74 enodes) 14.125 * * [simplify]: iters left: 3 (100 enodes) 14.153 * * [simplify]: iters left: 2 (152 enodes) 14.173 * * [simplify]: iters left: 1 (202 enodes) 14.223 * * [simplify]: Extracting #0: cost 1 inf + 0 14.223 * * [simplify]: Extracting #1: cost 4 inf + 0 14.223 * * [simplify]: Extracting #2: cost 8 inf + 0 14.223 * * [simplify]: Extracting #3: cost 32 inf + 0 14.223 * * [simplify]: Extracting #4: cost 57 inf + 4 14.223 * * [simplify]: Extracting #5: cost 66 inf + 4 14.224 * * [simplify]: Extracting #6: cost 64 inf + 6 14.224 * * [simplify]: Extracting #7: cost 44 inf + 2695 14.227 * * [simplify]: Extracting #8: cost 7 inf + 9094 14.230 * * [simplify]: Extracting #9: cost 0 inf + 10503 14.233 * [simplify]: Simplified to (* (sqrt (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) -1/4)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 14.233 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (/ (* (sqrt (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) -1/4)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 14.233 * * * * [progress]: [ 64 / 179 ] simplifiying candidate #real (real->posit16 (* (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)))))> 14.233 * * * * [progress]: [ 65 / 179 ] simplifiying candidate # 14.233 * * * * [progress]: [ 66 / 179 ] simplifiying candidate # 14.233 * [simplify]: Simplifying (fma 1 1 (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 14.234 * * [simplify]: iters left: 6 (10 enodes) 14.237 * * [simplify]: iters left: 5 (36 enodes) 14.245 * * [simplify]: iters left: 4 (46 enodes) 14.255 * * [simplify]: iters left: 3 (51 enodes) 14.262 * * [simplify]: Extracting #0: cost 1 inf + 0 14.262 * * [simplify]: Extracting #1: cost 4 inf + 0 14.262 * * [simplify]: Extracting #2: cost 9 inf + 1 14.262 * * [simplify]: Extracting #3: cost 15 inf + 2 14.262 * * [simplify]: Extracting #4: cost 17 inf + 3 14.263 * * [simplify]: Extracting #5: cost 12 inf + 314 14.263 * * [simplify]: Extracting #6: cost 6 inf + 1102 14.263 * * [simplify]: Extracting #7: cost 1 inf + 1992 14.264 * * [simplify]: Extracting #8: cost 0 inf + 2210 14.264 * [simplify]: Simplified to (+ 1 (+ (/ -1/2 (hypot 1 x)) -1/2)) 14.264 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (+ 1 (+ (/ -1/2 (hypot 1 x)) -1/2)) (fma (- (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))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 14.264 * [simplify]: Simplifying (fma (- (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)))) 14.264 * * [simplify]: iters left: 6 (10 enodes) 14.267 * * [simplify]: iters left: 5 (33 enodes) 14.275 * * [simplify]: iters left: 4 (47 enodes) 14.283 * * [simplify]: iters left: 3 (72 enodes) 14.300 * * [simplify]: iters left: 2 (80 enodes) 14.310 * * [simplify]: iters left: 1 (104 enodes) 14.325 * * [simplify]: Extracting #0: cost 1 inf + 0 14.325 * * [simplify]: Extracting #1: cost 0 inf + 1 14.325 * [simplify]: Simplified to 0 14.325 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (fma 1 1 (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 14.325 * * * * [progress]: [ 67 / 179 ] simplifiying candidate # 14.325 * * * * [progress]: [ 68 / 179 ] simplifiying candidate # 14.325 * * * * [progress]: [ 69 / 179 ] simplifiying candidate # 14.325 * * * * [progress]: [ 70 / 179 ] simplifiying candidate # 14.325 * [simplify]: Simplifying (/ (exp (* 1 1)) (exp (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 14.325 * * [simplify]: iters left: 6 (12 enodes) 14.330 * * [simplify]: iters left: 5 (41 enodes) 14.343 * * [simplify]: iters left: 4 (65 enodes) 14.363 * * [simplify]: iters left: 3 (107 enodes) 14.399 * * [simplify]: iters left: 2 (175 enodes) 14.440 * * [simplify]: iters left: 1 (296 enodes) 14.507 * * [simplify]: Extracting #0: cost 1 inf + 0 14.507 * * [simplify]: Extracting #1: cost 50 inf + 0 14.508 * * [simplify]: Extracting #2: cost 135 inf + 1 14.509 * * [simplify]: Extracting #3: cost 163 inf + 697 14.510 * * [simplify]: Extracting #4: cost 156 inf + 2114 14.512 * * [simplify]: Extracting #5: cost 143 inf + 3649 14.517 * * [simplify]: Extracting #6: cost 115 inf + 9265 14.526 * * [simplify]: Extracting #7: cost 55 inf + 34394 14.536 * * [simplify]: Extracting #8: cost 9 inf + 66596 14.548 * * [simplify]: Extracting #9: cost 0 inf + 74140 14.560 * [simplify]: Simplified to (exp (- 1/2 (/ 1/2 (hypot 1 x)))) 14.560 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (log (exp (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 14.560 * * * * [progress]: [ 71 / 179 ] simplifiying candidate # 14.560 * * * * [progress]: [ 72 / 179 ] simplifiying candidate # 14.560 * * * * [progress]: [ 73 / 179 ] simplifiying candidate # 14.560 * * * * [progress]: [ 74 / 179 ] simplifiying candidate # 14.561 * * * * [progress]: [ 75 / 179 ] simplifiying candidate # 14.561 * * * * [progress]: [ 76 / 179 ] simplifiying candidate # 14.561 * * * * [progress]: [ 77 / 179 ] simplifiying candidate # 14.561 * * * * [progress]: [ 78 / 179 ] simplifiying candidate # 14.561 * * * * [progress]: [ 79 / 179 ] simplifiying candidate # 14.561 * * * * [progress]: [ 80 / 179 ] simplifiying candidate # 14.561 * * * * [progress]: [ 81 / 179 ] simplifiying candidate # 14.561 * [simplify]: Simplifying (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 14.561 * * [simplify]: iters left: 6 (8 enodes) 14.566 * * [simplify]: iters left: 5 (28 enodes) 14.573 * * [simplify]: iters left: 4 (30 enodes) 14.581 * * [simplify]: Extracting #0: cost 1 inf + 0 14.581 * * [simplify]: Extracting #1: cost 4 inf + 0 14.581 * * [simplify]: Extracting #2: cost 5 inf + 1 14.581 * * [simplify]: Extracting #3: cost 8 inf + 1 14.581 * * [simplify]: Extracting #4: cost 9 inf + 2 14.581 * * [simplify]: Extracting #5: cost 11 inf + 2 14.581 * * [simplify]: Extracting #6: cost 9 inf + 60 14.581 * * [simplify]: Extracting #7: cost 5 inf + 451 14.581 * * [simplify]: Extracting #8: cost 1 inf + 1163 14.581 * * [simplify]: Extracting #9: cost 0 inf + 1381 14.582 * [simplify]: Simplified to (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 14.582 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (* (+ 1 (sqrt (+ 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))))) 14.582 * [simplify]: Simplifying (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 14.582 * * [simplify]: iters left: 6 (8 enodes) 14.584 * * [simplify]: iters left: 5 (29 enodes) 14.589 * * [simplify]: iters left: 4 (34 enodes) 14.594 * * [simplify]: Extracting #0: cost 1 inf + 0 14.594 * * [simplify]: Extracting #1: cost 5 inf + 0 14.594 * * [simplify]: Extracting #2: cost 7 inf + 1 14.594 * * [simplify]: Extracting #3: cost 10 inf + 1 14.594 * * [simplify]: Extracting #4: cost 11 inf + 2 14.594 * * [simplify]: Extracting #5: cost 13 inf + 2 14.594 * * [simplify]: Extracting #6: cost 11 inf + 60 14.594 * * [simplify]: Extracting #7: cost 7 inf + 451 14.594 * * [simplify]: Extracting #8: cost 0 inf + 1817 14.595 * [simplify]: Simplified to (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 14.595 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (* (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 14.595 * * * * [progress]: [ 82 / 179 ] simplifiying candidate # 14.595 * * * * [progress]: [ 83 / 179 ] simplifiying candidate #real (real->posit16 (- (* 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)))))> 14.595 * * * * [progress]: [ 84 / 179 ] simplifiying candidate # 14.595 * * * * [progress]: [ 85 / 179 ] simplifiying candidate # 14.595 * * * * [progress]: [ 86 / 179 ] simplifiying candidate # 14.595 * * * * [progress]: [ 87 / 179 ] simplifiying candidate # 14.595 * [simplify]: Simplifying (- (log (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (log (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 14.595 * * [simplify]: iters left: 6 (14 enodes) 14.599 * * [simplify]: iters left: 5 (48 enodes) 14.613 * * [simplify]: iters left: 4 (66 enodes) 14.626 * * [simplify]: iters left: 3 (79 enodes) 14.636 * * [simplify]: iters left: 2 (89 enodes) 14.648 * * [simplify]: iters left: 1 (95 enodes) 14.668 * * [simplify]: Extracting #0: cost 1 inf + 0 14.668 * * [simplify]: Extracting #1: cost 5 inf + 0 14.668 * * [simplify]: Extracting #2: cost 12 inf + 0 14.669 * * [simplify]: Extracting #3: cost 24 inf + 0 14.669 * * [simplify]: Extracting #4: cost 27 inf + 3 14.669 * * [simplify]: Extracting #5: cost 29 inf + 3 14.669 * * [simplify]: Extracting #6: cost 23 inf + 452 14.670 * * [simplify]: Extracting #7: cost 15 inf + 1616 14.672 * * [simplify]: Extracting #8: cost 6 inf + 3638 14.674 * * [simplify]: Extracting #9: cost 0 inf + 5246 14.676 * [simplify]: Simplified to (- (log (- 1/2 (/ 1/2 (hypot 1 x)))) (log1p (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 14.676 * [simplify]: Simplified (2 1) to (λ (x) (exp (- (log (- 1/2 (/ 1/2 (hypot 1 x)))) (log1p (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 14.676 * * * * [progress]: [ 88 / 179 ] simplifiying candidate # 14.676 * * * * [progress]: [ 89 / 179 ] simplifiying candidate # 14.676 * * * * [progress]: [ 90 / 179 ] simplifiying candidate # 14.676 * [simplify]: Simplifying (/ (* (* (- (* 1 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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (* (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 14.677 * * [simplify]: iters left: 6 (16 enodes) 14.688 * * [simplify]: iters left: 5 (72 enodes) 14.719 * * [simplify]: iters left: 4 (172 enodes) 14.784 * * [simplify]: iters left: 3 (437 enodes) 15.170 * * [simplify]: Extracting #0: cost 1 inf + 0 15.170 * * [simplify]: Extracting #1: cost 48 inf + 0 15.172 * * [simplify]: Extracting #2: cost 245 inf + 2 15.175 * * [simplify]: Extracting #3: cost 403 inf + 5 15.184 * * [simplify]: Extracting #4: cost 409 inf + 7 15.191 * * [simplify]: Extracting #5: cost 357 inf + 9827 15.217 * * [simplify]: Extracting #6: cost 155 inf + 71431 15.263 * * [simplify]: Extracting #7: cost 4 inf + 124141 15.309 * * [simplify]: Extracting #8: cost 0 inf + 125133 15.380 * [simplify]: Simplified to (* (* (/ (- 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))))) 15.380 * [simplify]: Simplified (2 1) to (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))))))) 15.380 * * * * [progress]: [ 91 / 179 ] simplifiying candidate # 15.380 * * * * [progress]: [ 92 / 179 ] simplifiying candidate # 15.380 * * * * [progress]: [ 93 / 179 ] simplifiying candidate # 15.380 * * * * [progress]: [ 94 / 179 ] simplifiying candidate # 15.380 * * * * [progress]: [ 95 / 179 ] simplifiying candidate # 15.380 * [simplify]: Simplifying (/ (* 1 1) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 15.380 * * [simplify]: iters left: 6 (10 enodes) 15.383 * * [simplify]: iters left: 5 (32 enodes) 15.388 * * [simplify]: iters left: 4 (34 enodes) 15.394 * * [simplify]: Extracting #0: cost 1 inf + 0 15.394 * * [simplify]: Extracting #1: cost 4 inf + 0 15.394 * * [simplify]: Extracting #2: cost 5 inf + 1 15.394 * * [simplify]: Extracting #3: cost 7 inf + 1 15.394 * * [simplify]: Extracting #4: cost 10 inf + 1 15.394 * * [simplify]: Extracting #5: cost 11 inf + 2 15.394 * * [simplify]: Extracting #6: cost 13 inf + 2 15.394 * * [simplify]: Extracting #7: cost 12 inf + 3 15.394 * * [simplify]: Extracting #8: cost 9 inf + 215 15.394 * * [simplify]: Extracting #9: cost 5 inf + 767 15.395 * * [simplify]: Extracting #10: cost 0 inf + 1897 15.395 * [simplify]: Simplified to (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 15.395 * [simplify]: Simplified (2 1) to (λ (x) (- (/ 1 (+ 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))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 15.395 * * * * [progress]: [ 96 / 179 ] simplifiying candidate # 15.395 * [simplify]: Simplifying (/ (* (cbrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (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)))))) 15.395 * * [simplify]: iters left: 6 (16 enodes) 15.400 * * [simplify]: iters left: 5 (57 enodes) 15.410 * * [simplify]: iters left: 4 (86 enodes) 15.436 * * [simplify]: iters left: 3 (106 enodes) 15.459 * * [simplify]: iters left: 2 (119 enodes) 15.476 * * [simplify]: iters left: 1 (125 enodes) 15.499 * * [simplify]: Extracting #0: cost 1 inf + 0 15.500 * * [simplify]: Extracting #1: cost 11 inf + 0 15.500 * * [simplify]: Extracting #2: cost 22 inf + 0 15.500 * * [simplify]: Extracting #3: cost 34 inf + 0 15.500 * * [simplify]: Extracting #4: cost 39 inf + 3 15.500 * * [simplify]: Extracting #5: cost 41 inf + 3 15.501 * * [simplify]: Extracting #6: cost 40 inf + 4 15.501 * * [simplify]: Extracting #7: cost 36 inf + 395 15.502 * * [simplify]: Extracting #8: cost 23 inf + 2428 15.503 * * [simplify]: Extracting #9: cost 15 inf + 4332 15.506 * * [simplify]: Extracting #10: cost 4 inf + 9010 15.511 * * [simplify]: Extracting #11: cost 0 inf + 10882 15.515 * [simplify]: Simplified to (* (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (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)))))) 15.515 * [simplify]: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (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)))))) (/ (cbrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 15.516 * [simplify]: Simplifying (/ (cbrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 15.516 * * [simplify]: iters left: 6 (14 enodes) 15.523 * * [simplify]: iters left: 5 (45 enodes) 15.533 * * [simplify]: iters left: 4 (59 enodes) 15.542 * * [simplify]: iters left: 3 (72 enodes) 15.552 * * [simplify]: iters left: 2 (82 enodes) 15.565 * * [simplify]: iters left: 1 (88 enodes) 15.577 * * [simplify]: Extracting #0: cost 1 inf + 0 15.577 * * [simplify]: Extracting #1: cost 4 inf + 0 15.577 * * [simplify]: Extracting #2: cost 8 inf + 0 15.577 * * [simplify]: Extracting #3: cost 20 inf + 0 15.577 * * [simplify]: Extracting #4: cost 25 inf + 3 15.577 * * [simplify]: Extracting #5: cost 27 inf + 3 15.578 * * [simplify]: Extracting #6: cost 22 inf + 395 15.578 * * [simplify]: Extracting #7: cost 12 inf + 1774 15.579 * * [simplify]: Extracting #8: cost 5 inf + 3420 15.580 * * [simplify]: Extracting #9: cost 0 inf + 4790 15.581 * [simplify]: Simplified to (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 15.581 * [simplify]: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (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 (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 15.581 * * * * [progress]: [ 97 / 179 ] simplifiying candidate # 15.581 * [simplify]: Simplifying (/ (* (cbrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 15.581 * * [simplify]: iters left: 6 (15 enodes) 15.585 * * [simplify]: iters left: 5 (50 enodes) 15.592 * * [simplify]: iters left: 4 (68 enodes) 15.602 * * [simplify]: iters left: 3 (84 enodes) 15.614 * * [simplify]: iters left: 2 (94 enodes) 15.626 * * [simplify]: iters left: 1 (100 enodes) 15.642 * * [simplify]: Extracting #0: cost 1 inf + 0 15.642 * * [simplify]: Extracting #1: cost 7 inf + 0 15.642 * * [simplify]: Extracting #2: cost 14 inf + 0 15.643 * * [simplify]: Extracting #3: cost 26 inf + 0 15.643 * * [simplify]: Extracting #4: cost 31 inf + 3 15.643 * * [simplify]: Extracting #5: cost 33 inf + 3 15.643 * * [simplify]: Extracting #6: cost 27 inf + 533 15.643 * * [simplify]: Extracting #7: cost 15 inf + 2428 15.644 * * [simplify]: Extracting #8: cost 8 inf + 3834 15.645 * * [simplify]: Extracting #9: cost 1 inf + 6480 15.647 * * [simplify]: Extracting #10: cost 0 inf + 6898 15.648 * [simplify]: Simplified to (/ (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)))))) 15.648 * [simplify]: Simplified (2 1) to (λ (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)))))) (/ (cbrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 15.648 * [simplify]: Simplifying (/ (cbrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 15.649 * * [simplify]: iters left: 6 (14 enodes) 15.652 * * [simplify]: iters left: 5 (45 enodes) 15.659 * * [simplify]: iters left: 4 (59 enodes) 15.668 * * [simplify]: iters left: 3 (72 enodes) 15.678 * * [simplify]: iters left: 2 (82 enodes) 15.692 * * [simplify]: iters left: 1 (88 enodes) 15.707 * * [simplify]: Extracting #0: cost 1 inf + 0 15.707 * * [simplify]: Extracting #1: cost 4 inf + 0 15.707 * * [simplify]: Extracting #2: cost 8 inf + 0 15.707 * * [simplify]: Extracting #3: cost 20 inf + 0 15.707 * * [simplify]: Extracting #4: cost 25 inf + 3 15.707 * * [simplify]: Extracting #5: cost 27 inf + 3 15.708 * * [simplify]: Extracting #6: cost 22 inf + 395 15.708 * * [simplify]: Extracting #7: cost 12 inf + 1774 15.709 * * [simplify]: Extracting #8: cost 5 inf + 3340 15.710 * * [simplify]: Extracting #9: cost 0 inf + 4630 15.710 * [simplify]: Simplified to (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 15.710 * [simplify]: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (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))))))) 15.711 * * * * [progress]: [ 98 / 179 ] simplifiying candidate # 15.711 * [simplify]: Simplifying (/ (* (cbrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 1) 15.711 * * [simplify]: iters left: 6 (13 enodes) 15.715 * * [simplify]: iters left: 5 (41 enodes) 15.721 * * [simplify]: iters left: 4 (61 enodes) 15.732 * * [simplify]: iters left: 3 (75 enodes) 15.743 * * [simplify]: iters left: 2 (85 enodes) 15.764 * * [simplify]: iters left: 1 (91 enodes) 15.787 * * [simplify]: Extracting #0: cost 1 inf + 0 15.787 * * [simplify]: Extracting #1: cost 5 inf + 0 15.787 * * [simplify]: Extracting #2: cost 7 inf + 1 15.787 * * [simplify]: Extracting #3: cost 17 inf + 1 15.787 * * [simplify]: Extracting #4: cost 23 inf + 3 15.787 * * [simplify]: Extracting #5: cost 25 inf + 3 15.788 * * [simplify]: Extracting #6: cost 18 inf + 631 15.789 * * [simplify]: Extracting #7: cost 5 inf + 2944 15.790 * * [simplify]: Extracting #8: cost 1 inf + 3656 15.792 * * [simplify]: Extracting #9: cost 0 inf + 3874 15.794 * [simplify]: Simplified to (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) 15.794 * [simplify]: Simplified (2 1) to (λ (x) (* (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (/ (cbrt (- (* 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)))))) 15.794 * [simplify]: Simplifying (/ (cbrt (- (* 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)))) 15.794 * * [simplify]: iters left: 6 (13 enodes) 15.801 * * [simplify]: iters left: 5 (42 enodes) 15.809 * * [simplify]: iters left: 4 (56 enodes) 15.817 * * [simplify]: iters left: 3 (69 enodes) 15.826 * * [simplify]: iters left: 2 (79 enodes) 15.838 * * [simplify]: iters left: 1 (85 enodes) 15.851 * * [simplify]: Extracting #0: cost 1 inf + 0 15.851 * * [simplify]: Extracting #1: cost 4 inf + 0 15.851 * * [simplify]: Extracting #2: cost 9 inf + 0 15.851 * * [simplify]: Extracting #3: cost 18 inf + 1 15.851 * * [simplify]: Extracting #4: cost 23 inf + 3 15.851 * * [simplify]: Extracting #5: cost 25 inf + 3 15.852 * * [simplify]: Extracting #6: cost 18 inf + 590 15.852 * * [simplify]: Extracting #7: cost 10 inf + 1774 15.854 * * [simplify]: Extracting #8: cost 3 inf + 3220 15.855 * * [simplify]: Extracting #9: cost 0 inf + 4034 15.857 * [simplify]: Simplified to (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 15.857 * [simplify]: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 1) (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 15.857 * * * * [progress]: [ 99 / 179 ] simplifiying candidate # 15.858 * [simplify]: Simplifying (/ (* (cbrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt 1)) 15.858 * * [simplify]: iters left: 6 (14 enodes) 15.867 * * [simplify]: iters left: 5 (46 enodes) 15.876 * * [simplify]: iters left: 4 (64 enodes) 15.885 * * [simplify]: iters left: 3 (79 enodes) 15.896 * * [simplify]: iters left: 2 (90 enodes) 15.907 * * [simplify]: iters left: 1 (96 enodes) 15.921 * * [simplify]: Extracting #0: cost 1 inf + 0 15.921 * * [simplify]: Extracting #1: cost 5 inf + 0 15.921 * * [simplify]: Extracting #2: cost 7 inf + 1 15.921 * * [simplify]: Extracting #3: cost 17 inf + 1 15.921 * * [simplify]: Extracting #4: cost 23 inf + 3 15.921 * * [simplify]: Extracting #5: cost 25 inf + 3 15.921 * * [simplify]: Extracting #6: cost 21 inf + 297 15.922 * * [simplify]: Extracting #7: cost 9 inf + 2272 15.922 * * [simplify]: Extracting #8: cost 1 inf + 3656 15.923 * * [simplify]: Extracting #9: cost 0 inf + 3874 15.924 * [simplify]: Simplified to (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) 15.924 * [simplify]: Simplified (2 1) to (λ (x) (* (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (/ (cbrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 15.924 * [simplify]: Simplifying (/ (cbrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 15.924 * * [simplify]: iters left: 6 (14 enodes) 15.928 * * [simplify]: iters left: 5 (45 enodes) 15.935 * * [simplify]: iters left: 4 (59 enodes) 15.944 * * [simplify]: iters left: 3 (72 enodes) 15.953 * * [simplify]: iters left: 2 (82 enodes) 15.965 * * [simplify]: iters left: 1 (88 enodes) 15.986 * * [simplify]: Extracting #0: cost 1 inf + 0 15.987 * * [simplify]: Extracting #1: cost 4 inf + 0 15.987 * * [simplify]: Extracting #2: cost 9 inf + 0 15.987 * * [simplify]: Extracting #3: cost 18 inf + 1 15.987 * * [simplify]: Extracting #4: cost 23 inf + 3 15.987 * * [simplify]: Extracting #5: cost 25 inf + 3 15.987 * * [simplify]: Extracting #6: cost 20 inf + 395 15.988 * * [simplify]: Extracting #7: cost 10 inf + 1774 15.989 * * [simplify]: Extracting #8: cost 4 inf + 3042 15.991 * * [simplify]: Extracting #9: cost 0 inf + 4034 15.993 * [simplify]: Simplified to (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 15.993 * [simplify]: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt 1)) (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 15.993 * * * * [progress]: [ 100 / 179 ] simplifiying candidate # 15.993 * [simplify]: Simplifying (/ (* (cbrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt 1)) 15.994 * * [simplify]: iters left: 6 (14 enodes) 15.999 * * [simplify]: iters left: 5 (46 enodes) 16.007 * * [simplify]: iters left: 4 (64 enodes) 16.018 * * [simplify]: iters left: 3 (79 enodes) 16.029 * * [simplify]: iters left: 2 (90 enodes) 16.040 * * [simplify]: iters left: 1 (96 enodes) 16.060 * * [simplify]: Extracting #0: cost 1 inf + 0 16.060 * * [simplify]: Extracting #1: cost 5 inf + 0 16.060 * * [simplify]: Extracting #2: cost 7 inf + 1 16.060 * * [simplify]: Extracting #3: cost 17 inf + 1 16.061 * * [simplify]: Extracting #4: cost 23 inf + 3 16.061 * * [simplify]: Extracting #5: cost 25 inf + 3 16.061 * * [simplify]: Extracting #6: cost 21 inf + 297 16.061 * * [simplify]: Extracting #7: cost 9 inf + 2272 16.062 * * [simplify]: Extracting #8: cost 1 inf + 3656 16.063 * * [simplify]: Extracting #9: cost 0 inf + 3874 16.064 * [simplify]: Simplified to (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) 16.064 * [simplify]: Simplified (2 1) to (λ (x) (* (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (/ (cbrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 16.064 * [simplify]: Simplifying (/ (cbrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 16.064 * * [simplify]: iters left: 6 (14 enodes) 16.068 * * [simplify]: iters left: 5 (45 enodes) 16.076 * * [simplify]: iters left: 4 (59 enodes) 16.085 * * [simplify]: iters left: 3 (72 enodes) 16.095 * * [simplify]: iters left: 2 (82 enodes) 16.107 * * [simplify]: iters left: 1 (88 enodes) 16.121 * * [simplify]: Extracting #0: cost 1 inf + 0 16.121 * * [simplify]: Extracting #1: cost 4 inf + 0 16.121 * * [simplify]: Extracting #2: cost 9 inf + 0 16.121 * * [simplify]: Extracting #3: cost 18 inf + 1 16.121 * * [simplify]: Extracting #4: cost 23 inf + 3 16.121 * * [simplify]: Extracting #5: cost 25 inf + 3 16.122 * * [simplify]: Extracting #6: cost 20 inf + 395 16.122 * * [simplify]: Extracting #7: cost 10 inf + 1774 16.124 * * [simplify]: Extracting #8: cost 4 inf + 3042 16.125 * * [simplify]: Extracting #9: cost 0 inf + 4034 16.127 * [simplify]: Simplified to (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 16.127 * [simplify]: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt 1)) (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 16.127 * * * * [progress]: [ 101 / 179 ] simplifiying candidate # 16.127 * [simplify]: Simplifying (/ (* (cbrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 1) 16.128 * * [simplify]: iters left: 6 (13 enodes) 16.134 * * [simplify]: iters left: 5 (41 enodes) 16.148 * * [simplify]: iters left: 4 (61 enodes) 16.167 * * [simplify]: iters left: 3 (75 enodes) 16.187 * * [simplify]: iters left: 2 (85 enodes) 16.208 * * [simplify]: iters left: 1 (91 enodes) 16.235 * * [simplify]: Extracting #0: cost 1 inf + 0 16.235 * * [simplify]: Extracting #1: cost 5 inf + 0 16.235 * * [simplify]: Extracting #2: cost 7 inf + 1 16.235 * * [simplify]: Extracting #3: cost 17 inf + 1 16.235 * * [simplify]: Extracting #4: cost 23 inf + 3 16.235 * * [simplify]: Extracting #5: cost 25 inf + 3 16.236 * * [simplify]: Extracting #6: cost 18 inf + 631 16.237 * * [simplify]: Extracting #7: cost 5 inf + 2944 16.238 * * [simplify]: Extracting #8: cost 1 inf + 3656 16.240 * * [simplify]: Extracting #9: cost 0 inf + 3874 16.242 * [simplify]: Simplified to (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) 16.242 * [simplify]: Simplified (2 1) to (λ (x) (* (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (/ (cbrt (- (* 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)))))) 16.242 * [simplify]: Simplifying (/ (cbrt (- (* 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)))) 16.242 * * [simplify]: iters left: 6 (13 enodes) 16.249 * * [simplify]: iters left: 5 (42 enodes) 16.257 * * [simplify]: iters left: 4 (56 enodes) 16.266 * * [simplify]: iters left: 3 (69 enodes) 16.280 * * [simplify]: iters left: 2 (79 enodes) 16.300 * * [simplify]: iters left: 1 (85 enodes) 16.322 * * [simplify]: Extracting #0: cost 1 inf + 0 16.322 * * [simplify]: Extracting #1: cost 4 inf + 0 16.322 * * [simplify]: Extracting #2: cost 9 inf + 0 16.323 * * [simplify]: Extracting #3: cost 18 inf + 1 16.323 * * [simplify]: Extracting #4: cost 23 inf + 3 16.323 * * [simplify]: Extracting #5: cost 25 inf + 3 16.323 * * [simplify]: Extracting #6: cost 18 inf + 590 16.324 * * [simplify]: Extracting #7: cost 10 inf + 1774 16.325 * * [simplify]: Extracting #8: cost 3 inf + 3220 16.327 * * [simplify]: Extracting #9: cost 0 inf + 4034 16.329 * [simplify]: Simplified to (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 16.329 * [simplify]: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 1) (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 16.329 * * * * [progress]: [ 102 / 179 ] simplifiying candidate # 16.329 * [simplify]: Simplifying (/ (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (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)))))) 16.330 * * [simplify]: iters left: 6 (15 enodes) 16.337 * * [simplify]: iters left: 5 (50 enodes) 16.353 * * [simplify]: iters left: 4 (66 enodes) 16.374 * * [simplify]: iters left: 3 (79 enodes) 16.385 * * [simplify]: iters left: 2 (89 enodes) 16.397 * * [simplify]: iters left: 1 (95 enodes) 16.410 * * [simplify]: Extracting #0: cost 1 inf + 0 16.410 * * [simplify]: Extracting #1: cost 6 inf + 0 16.410 * * [simplify]: Extracting #2: cost 12 inf + 0 16.410 * * [simplify]: Extracting #3: cost 24 inf + 0 16.410 * * [simplify]: Extracting #4: cost 29 inf + 3 16.410 * * [simplify]: Extracting #5: cost 31 inf + 3 16.410 * * [simplify]: Extracting #6: cost 25 inf + 493 16.410 * * [simplify]: Extracting #7: cost 17 inf + 1556 16.411 * * [simplify]: Extracting #8: cost 7 inf + 3616 16.412 * * [simplify]: Extracting #9: cost 0 inf + 6222 16.413 * [simplify]: Simplified to (/ (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)))))) 16.414 * [simplify]: Simplified (2 1) to (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 16.414 * [simplify]: Simplifying (/ (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 16.414 * * [simplify]: iters left: 6 (14 enodes) 16.420 * * [simplify]: iters left: 5 (45 enodes) 16.434 * * [simplify]: iters left: 4 (59 enodes) 16.451 * * [simplify]: iters left: 3 (72 enodes) 16.471 * * [simplify]: iters left: 2 (82 enodes) 16.495 * * [simplify]: iters left: 1 (88 enodes) 16.516 * * [simplify]: Extracting #0: cost 1 inf + 0 16.516 * * [simplify]: Extracting #1: cost 4 inf + 0 16.516 * * [simplify]: Extracting #2: cost 8 inf + 0 16.516 * * [simplify]: Extracting #3: cost 20 inf + 0 16.516 * * [simplify]: Extracting #4: cost 25 inf + 3 16.516 * * [simplify]: Extracting #5: cost 27 inf + 3 16.516 * * [simplify]: Extracting #6: cost 22 inf + 395 16.516 * * [simplify]: Extracting #7: cost 12 inf + 1694 16.517 * * [simplify]: Extracting #8: cost 5 inf + 3300 16.518 * * [simplify]: Extracting #9: cost 0 inf + 4630 16.519 * [simplify]: Simplified to (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 16.519 * [simplify]: Simplified (2 2) to (λ (x) (* (/ (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (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)))))) (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 16.519 * * * * [progress]: [ 103 / 179 ] simplifiying candidate # 16.520 * [simplify]: Simplifying (/ (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 16.520 * * [simplify]: iters left: 6 (14 enodes) 16.523 * * [simplify]: iters left: 5 (45 enodes) 16.530 * * [simplify]: iters left: 4 (59 enodes) 16.538 * * [simplify]: iters left: 3 (72 enodes) 16.557 * * [simplify]: iters left: 2 (82 enodes) 16.578 * * [simplify]: iters left: 1 (88 enodes) 16.604 * * [simplify]: Extracting #0: cost 1 inf + 0 16.604 * * [simplify]: Extracting #1: cost 4 inf + 0 16.604 * * [simplify]: Extracting #2: cost 8 inf + 0 16.604 * * [simplify]: Extracting #3: cost 20 inf + 0 16.605 * * [simplify]: Extracting #4: cost 25 inf + 3 16.605 * * [simplify]: Extracting #5: cost 27 inf + 3 16.605 * * [simplify]: Extracting #6: cost 22 inf + 395 16.606 * * [simplify]: Extracting #7: cost 12 inf + 1694 16.607 * * [simplify]: Extracting #8: cost 5 inf + 3220 16.609 * * [simplify]: Extracting #9: cost 0 inf + 4470 16.611 * [simplify]: Simplified to (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 16.611 * [simplify]: Simplified (2 1) to (λ (x) (* (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 16.611 * [simplify]: Simplifying (/ (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 16.611 * * [simplify]: iters left: 6 (14 enodes) 16.618 * * [simplify]: iters left: 5 (45 enodes) 16.632 * * [simplify]: iters left: 4 (59 enodes) 16.649 * * [simplify]: iters left: 3 (72 enodes) 16.669 * * [simplify]: iters left: 2 (82 enodes) 16.690 * * [simplify]: iters left: 1 (88 enodes) 16.714 * * [simplify]: Extracting #0: cost 1 inf + 0 16.714 * * [simplify]: Extracting #1: cost 4 inf + 0 16.714 * * [simplify]: Extracting #2: cost 8 inf + 0 16.714 * * [simplify]: Extracting #3: cost 20 inf + 0 16.715 * * [simplify]: Extracting #4: cost 25 inf + 3 16.715 * * [simplify]: Extracting #5: cost 27 inf + 3 16.715 * * [simplify]: Extracting #6: cost 22 inf + 395 16.716 * * [simplify]: Extracting #7: cost 12 inf + 1694 16.717 * * [simplify]: Extracting #8: cost 5 inf + 3220 16.719 * * [simplify]: Extracting #9: cost 0 inf + 4470 16.721 * [simplify]: Simplified to (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 16.721 * [simplify]: Simplified (2 2) to (λ (x) (* (/ (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (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))))))) 16.721 * * * * [progress]: [ 104 / 179 ] simplifiying candidate # 16.721 * [simplify]: Simplifying (/ (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1) 16.722 * * [simplify]: iters left: 6 (12 enodes) 16.729 * * [simplify]: iters left: 5 (36 enodes) 16.740 * * [simplify]: iters left: 4 (50 enodes) 16.759 * * [simplify]: iters left: 3 (63 enodes) 16.777 * * [simplify]: iters left: 2 (73 enodes) 16.795 * * [simplify]: iters left: 1 (79 enodes) 16.816 * * [simplify]: Extracting #0: cost 1 inf + 0 16.816 * * [simplify]: Extracting #1: cost 4 inf + 0 16.816 * * [simplify]: Extracting #2: cost 13 inf + 1 16.817 * * [simplify]: Extracting #3: cost 19 inf + 3 16.817 * * [simplify]: Extracting #4: cost 21 inf + 3 16.817 * * [simplify]: Extracting #5: cost 16 inf + 354 16.818 * * [simplify]: Extracting #6: cost 8 inf + 1418 16.819 * * [simplify]: Extracting #7: cost 2 inf + 2326 16.820 * * [simplify]: Extracting #8: cost 0 inf + 2762 16.822 * [simplify]: Simplified to (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 16.822 * [simplify]: Simplified (2 1) to (λ (x) (* (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (sqrt (- (* 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)))))) 16.822 * [simplify]: Simplifying (/ (sqrt (- (* 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)))) 16.822 * * [simplify]: iters left: 6 (13 enodes) 16.829 * * [simplify]: iters left: 5 (42 enodes) 16.841 * * [simplify]: iters left: 4 (56 enodes) 16.859 * * [simplify]: iters left: 3 (69 enodes) 16.878 * * [simplify]: iters left: 2 (79 enodes) 16.899 * * [simplify]: iters left: 1 (85 enodes) 16.925 * * [simplify]: Extracting #0: cost 1 inf + 0 16.925 * * [simplify]: Extracting #1: cost 4 inf + 0 16.925 * * [simplify]: Extracting #2: cost 9 inf + 0 16.925 * * [simplify]: Extracting #3: cost 18 inf + 1 16.925 * * [simplify]: Extracting #4: cost 23 inf + 3 16.925 * * [simplify]: Extracting #5: cost 25 inf + 3 16.926 * * [simplify]: Extracting #6: cost 18 inf + 590 16.927 * * [simplify]: Extracting #7: cost 10 inf + 1694 16.928 * * [simplify]: Extracting #8: cost 3 inf + 3100 16.930 * * [simplify]: Extracting #9: cost 0 inf + 3874 16.931 * [simplify]: Simplified to (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 16.931 * [simplify]: Simplified (2 2) to (λ (x) (* (/ (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1) (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 16.932 * * * * [progress]: [ 105 / 179 ] simplifiying candidate # 16.932 * [simplify]: Simplifying (/ (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt 1)) 16.932 * * [simplify]: iters left: 6 (13 enodes) 16.940 * * [simplify]: iters left: 5 (41 enodes) 16.953 * * [simplify]: iters left: 4 (55 enodes) 16.969 * * [simplify]: iters left: 3 (68 enodes) 16.988 * * [simplify]: iters left: 2 (78 enodes) 17.008 * * [simplify]: iters left: 1 (84 enodes) 17.021 * * [simplify]: Extracting #0: cost 1 inf + 0 17.021 * * [simplify]: Extracting #1: cost 4 inf + 0 17.021 * * [simplify]: Extracting #2: cost 13 inf + 1 17.021 * * [simplify]: Extracting #3: cost 19 inf + 3 17.021 * * [simplify]: Extracting #4: cost 21 inf + 3 17.021 * * [simplify]: Extracting #5: cost 13 inf + 688 17.021 * * [simplify]: Extracting #6: cost 6 inf + 1654 17.022 * * [simplify]: Extracting #7: cost 1 inf + 2544 17.023 * * [simplify]: Extracting #8: cost 0 inf + 2762 17.023 * [simplify]: Simplified to (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 17.023 * [simplify]: Simplified (2 1) to (λ (x) (* (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 17.024 * [simplify]: Simplifying (/ (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 17.024 * * [simplify]: iters left: 6 (14 enodes) 17.028 * * [simplify]: iters left: 5 (45 enodes) 17.035 * * [simplify]: iters left: 4 (59 enodes) 17.046 * * [simplify]: iters left: 3 (72 enodes) 17.056 * * [simplify]: iters left: 2 (82 enodes) 17.066 * * [simplify]: iters left: 1 (88 enodes) 17.081 * * [simplify]: Extracting #0: cost 1 inf + 0 17.081 * * [simplify]: Extracting #1: cost 4 inf + 0 17.081 * * [simplify]: Extracting #2: cost 9 inf + 0 17.081 * * [simplify]: Extracting #3: cost 18 inf + 1 17.081 * * [simplify]: Extracting #4: cost 23 inf + 3 17.081 * * [simplify]: Extracting #5: cost 25 inf + 3 17.081 * * [simplify]: Extracting #6: cost 20 inf + 395 17.082 * * [simplify]: Extracting #7: cost 10 inf + 1694 17.084 * * [simplify]: Extracting #8: cost 4 inf + 2922 17.085 * * [simplify]: Extracting #9: cost 0 inf + 3874 17.087 * [simplify]: Simplified to (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 17.087 * [simplify]: Simplified (2 2) to (λ (x) (* (/ (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt 1)) (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 17.087 * * * * [progress]: [ 106 / 179 ] simplifiying candidate # 17.087 * [simplify]: Simplifying (/ (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt 1)) 17.088 * * [simplify]: iters left: 6 (13 enodes) 17.096 * * [simplify]: iters left: 5 (41 enodes) 17.109 * * [simplify]: iters left: 4 (55 enodes) 17.125 * * [simplify]: iters left: 3 (68 enodes) 17.143 * * [simplify]: iters left: 2 (78 enodes) 17.165 * * [simplify]: iters left: 1 (84 enodes) 17.179 * * [simplify]: Extracting #0: cost 1 inf + 0 17.179 * * [simplify]: Extracting #1: cost 4 inf + 0 17.179 * * [simplify]: Extracting #2: cost 13 inf + 1 17.179 * * [simplify]: Extracting #3: cost 19 inf + 3 17.179 * * [simplify]: Extracting #4: cost 21 inf + 3 17.179 * * [simplify]: Extracting #5: cost 13 inf + 688 17.179 * * [simplify]: Extracting #6: cost 6 inf + 1654 17.180 * * [simplify]: Extracting #7: cost 1 inf + 2544 17.181 * * [simplify]: Extracting #8: cost 0 inf + 2762 17.181 * [simplify]: Simplified to (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 17.182 * [simplify]: Simplified (2 1) to (λ (x) (* (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 17.182 * [simplify]: Simplifying (/ (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 17.182 * * [simplify]: iters left: 6 (14 enodes) 17.186 * * [simplify]: iters left: 5 (45 enodes) 17.193 * * [simplify]: iters left: 4 (59 enodes) 17.202 * * [simplify]: iters left: 3 (72 enodes) 17.214 * * [simplify]: iters left: 2 (82 enodes) 17.236 * * [simplify]: iters left: 1 (88 enodes) 17.249 * * [simplify]: Extracting #0: cost 1 inf + 0 17.249 * * [simplify]: Extracting #1: cost 4 inf + 0 17.249 * * [simplify]: Extracting #2: cost 9 inf + 0 17.249 * * [simplify]: Extracting #3: cost 18 inf + 1 17.249 * * [simplify]: Extracting #4: cost 23 inf + 3 17.249 * * [simplify]: Extracting #5: cost 25 inf + 3 17.250 * * [simplify]: Extracting #6: cost 20 inf + 395 17.250 * * [simplify]: Extracting #7: cost 10 inf + 1694 17.251 * * [simplify]: Extracting #8: cost 4 inf + 2922 17.251 * * [simplify]: Extracting #9: cost 0 inf + 3874 17.252 * [simplify]: Simplified to (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 17.252 * [simplify]: Simplified (2 2) to (λ (x) (* (/ (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt 1)) (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 17.252 * * * * [progress]: [ 107 / 179 ] simplifiying candidate # 17.253 * [simplify]: Simplifying (/ (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1) 17.253 * * [simplify]: iters left: 6 (12 enodes) 17.258 * * [simplify]: iters left: 5 (36 enodes) 17.263 * * [simplify]: iters left: 4 (50 enodes) 17.273 * * [simplify]: iters left: 3 (63 enodes) 17.291 * * [simplify]: iters left: 2 (73 enodes) 17.302 * * [simplify]: iters left: 1 (79 enodes) 17.313 * * [simplify]: Extracting #0: cost 1 inf + 0 17.313 * * [simplify]: Extracting #1: cost 4 inf + 0 17.313 * * [simplify]: Extracting #2: cost 13 inf + 1 17.313 * * [simplify]: Extracting #3: cost 19 inf + 3 17.313 * * [simplify]: Extracting #4: cost 21 inf + 3 17.313 * * [simplify]: Extracting #5: cost 16 inf + 354 17.314 * * [simplify]: Extracting #6: cost 8 inf + 1418 17.314 * * [simplify]: Extracting #7: cost 2 inf + 2326 17.315 * * [simplify]: Extracting #8: cost 0 inf + 2762 17.315 * [simplify]: Simplified to (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 17.315 * [simplify]: Simplified (2 1) to (λ (x) (* (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (sqrt (- (* 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)))))) 17.316 * [simplify]: Simplifying (/ (sqrt (- (* 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)))) 17.316 * * [simplify]: iters left: 6 (13 enodes) 17.319 * * [simplify]: iters left: 5 (42 enodes) 17.328 * * [simplify]: iters left: 4 (56 enodes) 17.345 * * [simplify]: iters left: 3 (69 enodes) 17.364 * * [simplify]: iters left: 2 (79 enodes) 17.382 * * [simplify]: iters left: 1 (85 enodes) 17.393 * * [simplify]: Extracting #0: cost 1 inf + 0 17.393 * * [simplify]: Extracting #1: cost 4 inf + 0 17.393 * * [simplify]: Extracting #2: cost 9 inf + 0 17.393 * * [simplify]: Extracting #3: cost 18 inf + 1 17.393 * * [simplify]: Extracting #4: cost 23 inf + 3 17.393 * * [simplify]: Extracting #5: cost 25 inf + 3 17.393 * * [simplify]: Extracting #6: cost 18 inf + 590 17.394 * * [simplify]: Extracting #7: cost 10 inf + 1694 17.394 * * [simplify]: Extracting #8: cost 3 inf + 3100 17.395 * * [simplify]: Extracting #9: cost 0 inf + 3874 17.396 * [simplify]: Simplified to (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 17.396 * [simplify]: Simplified (2 2) to (λ (x) (* (/ (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1) (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 17.396 * * * * [progress]: [ 108 / 179 ] simplifiying candidate # 17.396 * [simplify]: Simplifying (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 17.396 * * [simplify]: iters left: 6 (11 enodes) 17.399 * * [simplify]: iters left: 5 (39 enodes) 17.408 * * [simplify]: iters left: 4 (43 enodes) 17.420 * * [simplify]: Extracting #0: cost 1 inf + 0 17.420 * * [simplify]: Extracting #1: cost 6 inf + 0 17.420 * * [simplify]: Extracting #2: cost 9 inf + 1 17.420 * * [simplify]: Extracting #3: cost 11 inf + 1 17.420 * * [simplify]: Extracting #4: cost 13 inf + 1 17.421 * * [simplify]: Extracting #5: cost 16 inf + 1 17.421 * * [simplify]: Extracting #6: cost 17 inf + 2 17.421 * * [simplify]: Extracting #7: cost 19 inf + 2 17.421 * * [simplify]: Extracting #8: cost 17 inf + 60 17.421 * * [simplify]: Extracting #9: cost 13 inf + 451 17.421 * * [simplify]: Extracting #10: cost 9 inf + 1163 17.422 * * [simplify]: Extracting #11: cost 5 inf + 2315 17.423 * * [simplify]: Extracting #12: cost 0 inf + 4085 17.425 * [simplify]: Simplified to (/ 1 (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 17.425 * [simplify]: Simplified (2 1) to (λ (x) (* (/ 1 (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 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)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 17.425 * [simplify]: Simplifying (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 17.425 * * [simplify]: iters left: 6 (13 enodes) 17.432 * * [simplify]: iters left: 5 (45 enodes) 17.439 * * [simplify]: iters left: 4 (67 enodes) 17.449 * * [simplify]: iters left: 3 (89 enodes) 17.463 * * [simplify]: iters left: 2 (112 enodes) 17.480 * * [simplify]: iters left: 1 (133 enodes) 17.511 * * [simplify]: Extracting #0: cost 1 inf + 0 17.511 * * [simplify]: Extracting #1: cost 16 inf + 0 17.512 * * [simplify]: Extracting #2: cost 41 inf + 0 17.512 * * [simplify]: Extracting #3: cost 47 inf + 3 17.512 * * [simplify]: Extracting #4: cost 49 inf + 3 17.513 * * [simplify]: Extracting #5: cost 41 inf + 728 17.514 * * [simplify]: Extracting #6: cost 33 inf + 1832 17.516 * * [simplify]: Extracting #7: cost 9 inf + 9625 17.521 * * [simplify]: Extracting #8: cost 1 inf + 12489 17.526 * * [simplify]: Extracting #9: cost 0 inf + 12786 17.529 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 17.529 * [simplify]: Simplified (2 2) to (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))))))) 17.529 * * * * [progress]: [ 109 / 179 ] simplifiying candidate # 17.530 * [simplify]: Simplifying (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 17.530 * * [simplify]: iters left: 6 (10 enodes) 17.532 * * [simplify]: iters left: 5 (34 enodes) 17.537 * * [simplify]: iters left: 4 (36 enodes) 17.542 * * [simplify]: Extracting #0: cost 1 inf + 0 17.542 * * [simplify]: Extracting #1: cost 4 inf + 0 17.542 * * [simplify]: Extracting #2: cost 5 inf + 1 17.542 * * [simplify]: Extracting #3: cost 7 inf + 1 17.542 * * [simplify]: Extracting #4: cost 9 inf + 1 17.542 * * [simplify]: Extracting #5: cost 12 inf + 1 17.543 * * [simplify]: Extracting #6: cost 13 inf + 2 17.543 * * [simplify]: Extracting #7: cost 15 inf + 2 17.543 * * [simplify]: Extracting #8: cost 13 inf + 60 17.543 * * [simplify]: Extracting #9: cost 9 inf + 451 17.543 * * [simplify]: Extracting #10: cost 4 inf + 1381 17.543 * * [simplify]: Extracting #11: cost 0 inf + 2493 17.544 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 17.544 * [simplify]: Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ 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)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 17.544 * [simplify]: Simplifying (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 17.544 * * [simplify]: iters left: 6 (13 enodes) 17.547 * * [simplify]: iters left: 5 (45 enodes) 17.555 * * [simplify]: iters left: 4 (67 enodes) 17.573 * * [simplify]: iters left: 3 (89 enodes) 17.587 * * [simplify]: iters left: 2 (112 enodes) 17.602 * * [simplify]: iters left: 1 (133 enodes) 17.635 * * [simplify]: Extracting #0: cost 1 inf + 0 17.635 * * [simplify]: Extracting #1: cost 16 inf + 0 17.636 * * [simplify]: Extracting #2: cost 41 inf + 0 17.636 * * [simplify]: Extracting #3: cost 47 inf + 3 17.636 * * [simplify]: Extracting #4: cost 49 inf + 3 17.637 * * [simplify]: Extracting #5: cost 41 inf + 728 17.638 * * [simplify]: Extracting #6: cost 33 inf + 1832 17.640 * * [simplify]: Extracting #7: cost 9 inf + 8865 17.645 * * [simplify]: Extracting #8: cost 1 inf + 11409 17.650 * * [simplify]: Extracting #9: cost 0 inf + 11666 17.656 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 17.656 * [simplify]: Simplified (2 2) to (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))))))) 17.656 * * * * [progress]: [ 110 / 179 ] simplifiying candidate # 17.656 * [simplify]: Simplifying (/ 1 1) 17.656 * * [simplify]: iters left: 2 (2 enodes) 17.658 * * [simplify]: iters left: 1 (6 enodes) 17.660 * * [simplify]: Extracting #0: cost 1 inf + 0 17.660 * * [simplify]: Extracting #1: cost 0 inf + 1 17.660 * [simplify]: Simplified to 1 17.660 * [simplify]: Simplified (2 1) to (λ (x) (* 1 (/ (- (* 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)))))) 17.660 * [simplify]: Simplifying (/ (- (* 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)))) 17.660 * * [simplify]: iters left: 6 (12 enodes) 17.667 * * [simplify]: iters left: 5 (42 enodes) 17.680 * * [simplify]: iters left: 4 (64 enodes) 17.703 * * [simplify]: iters left: 3 (86 enodes) 17.729 * * [simplify]: iters left: 2 (109 enodes) 17.760 * * [simplify]: iters left: 1 (130 enodes) 17.795 * * [simplify]: Extracting #0: cost 1 inf + 0 17.795 * * [simplify]: Extracting #1: cost 16 inf + 0 17.795 * * [simplify]: Extracting #2: cost 40 inf + 0 17.795 * * [simplify]: Extracting #3: cost 45 inf + 3 17.796 * * [simplify]: Extracting #4: cost 47 inf + 3 17.796 * * [simplify]: Extracting #5: cost 38 inf + 826 17.797 * * [simplify]: Extracting #6: cost 30 inf + 2010 17.799 * * [simplify]: Extracting #7: cost 13 inf + 6558 17.804 * * [simplify]: Extracting #8: cost 1 inf + 9932 17.808 * * [simplify]: Extracting #9: cost 0 inf + 10190 17.813 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 17.813 * [simplify]: Simplified (2 2) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 17.813 * * * * [progress]: [ 111 / 179 ] simplifiying candidate # 17.814 * [simplify]: Simplifying (/ 1 (sqrt 1)) 17.814 * * [simplify]: iters left: 3 (3 enodes) 17.820 * * [simplify]: iters left: 2 (11 enodes) 17.823 * * [simplify]: iters left: 1 (13 enodes) 17.826 * * [simplify]: Extracting #0: cost 1 inf + 0 17.826 * * [simplify]: Extracting #1: cost 0 inf + 1 17.826 * [simplify]: Simplified to 1 17.826 * [simplify]: Simplified (2 1) to (λ (x) (* 1 (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 17.827 * [simplify]: Simplifying (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 17.827 * * [simplify]: iters left: 6 (13 enodes) 17.837 * * [simplify]: iters left: 5 (45 enodes) 17.855 * * [simplify]: iters left: 4 (67 enodes) 17.875 * * [simplify]: iters left: 3 (89 enodes) 17.900 * * [simplify]: iters left: 2 (112 enodes) 17.931 * * [simplify]: iters left: 1 (133 enodes) 17.950 * * [simplify]: Extracting #0: cost 1 inf + 0 17.950 * * [simplify]: Extracting #1: cost 16 inf + 0 17.951 * * [simplify]: Extracting #2: cost 40 inf + 0 17.951 * * [simplify]: Extracting #3: cost 45 inf + 3 17.951 * * [simplify]: Extracting #4: cost 47 inf + 3 17.951 * * [simplify]: Extracting #5: cost 39 inf + 728 17.952 * * [simplify]: Extracting #6: cost 31 inf + 1832 17.953 * * [simplify]: Extracting #7: cost 9 inf + 7669 17.955 * * [simplify]: Extracting #8: cost 1 inf + 9893 17.959 * * [simplify]: Extracting #9: cost 0 inf + 10110 17.964 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 17.964 * [simplify]: Simplified (2 2) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 17.964 * * * * [progress]: [ 112 / 179 ] simplifiying candidate # 17.964 * [simplify]: Simplifying (/ 1 (sqrt 1)) 17.964 * * [simplify]: iters left: 3 (3 enodes) 17.970 * * [simplify]: iters left: 2 (11 enodes) 17.974 * * [simplify]: iters left: 1 (13 enodes) 17.977 * * [simplify]: Extracting #0: cost 1 inf + 0 17.977 * * [simplify]: Extracting #1: cost 0 inf + 1 17.977 * [simplify]: Simplified to 1 17.977 * [simplify]: Simplified (2 1) to (λ (x) (* 1 (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 17.977 * [simplify]: Simplifying (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 17.978 * * [simplify]: iters left: 6 (13 enodes) 17.990 * * [simplify]: iters left: 5 (45 enodes) 18.003 * * [simplify]: iters left: 4 (67 enodes) 18.023 * * [simplify]: iters left: 3 (89 enodes) 18.047 * * [simplify]: iters left: 2 (112 enodes) 18.078 * * [simplify]: iters left: 1 (133 enodes) 18.098 * * [simplify]: Extracting #0: cost 1 inf + 0 18.098 * * [simplify]: Extracting #1: cost 16 inf + 0 18.098 * * [simplify]: Extracting #2: cost 40 inf + 0 18.098 * * [simplify]: Extracting #3: cost 45 inf + 3 18.098 * * [simplify]: Extracting #4: cost 47 inf + 3 18.098 * * [simplify]: Extracting #5: cost 39 inf + 728 18.099 * * [simplify]: Extracting #6: cost 31 inf + 1832 18.100 * * [simplify]: Extracting #7: cost 9 inf + 7669 18.102 * * [simplify]: Extracting #8: cost 1 inf + 9893 18.104 * * [simplify]: Extracting #9: cost 0 inf + 10110 18.109 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 18.109 * [simplify]: Simplified (2 2) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 18.109 * * * * [progress]: [ 113 / 179 ] simplifiying candidate # 18.109 * [simplify]: Simplifying (/ 1 1) 18.109 * * [simplify]: iters left: 2 (2 enodes) 18.110 * * [simplify]: iters left: 1 (6 enodes) 18.111 * * [simplify]: Extracting #0: cost 1 inf + 0 18.111 * * [simplify]: Extracting #1: cost 0 inf + 1 18.111 * [simplify]: Simplified to 1 18.111 * [simplify]: Simplified (2 1) to (λ (x) (* 1 (/ (- (* 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)))))) 18.112 * [simplify]: Simplifying (/ (- (* 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)))) 18.112 * * [simplify]: iters left: 6 (12 enodes) 18.115 * * [simplify]: iters left: 5 (42 enodes) 18.128 * * [simplify]: iters left: 4 (64 enodes) 18.148 * * [simplify]: iters left: 3 (86 enodes) 18.173 * * [simplify]: iters left: 2 (109 enodes) 18.202 * * [simplify]: iters left: 1 (130 enodes) 18.237 * * [simplify]: Extracting #0: cost 1 inf + 0 18.237 * * [simplify]: Extracting #1: cost 16 inf + 0 18.237 * * [simplify]: Extracting #2: cost 40 inf + 0 18.237 * * [simplify]: Extracting #3: cost 45 inf + 3 18.237 * * [simplify]: Extracting #4: cost 47 inf + 3 18.238 * * [simplify]: Extracting #5: cost 38 inf + 826 18.239 * * [simplify]: Extracting #6: cost 30 inf + 2010 18.241 * * [simplify]: Extracting #7: cost 13 inf + 6558 18.246 * * [simplify]: Extracting #8: cost 1 inf + 9932 18.253 * * [simplify]: Extracting #9: cost 0 inf + 10190 18.257 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 18.257 * [simplify]: Simplified (2 2) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 18.258 * * * * [progress]: [ 114 / 179 ] simplifiying candidate # 18.258 * [simplify]: Simplifying (/ (+ 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)))))) 18.258 * * [simplify]: iters left: 6 (11 enodes) 18.264 * * [simplify]: iters left: 5 (39 enodes) 18.276 * * [simplify]: iters left: 4 (43 enodes) 18.289 * * [simplify]: Extracting #0: cost 1 inf + 0 18.289 * * [simplify]: Extracting #1: cost 6 inf + 0 18.289 * * [simplify]: Extracting #2: cost 12 inf + 0 18.289 * * [simplify]: Extracting #3: cost 13 inf + 1 18.289 * * [simplify]: Extracting #4: cost 16 inf + 1 18.289 * * [simplify]: Extracting #5: cost 17 inf + 2 18.289 * * [simplify]: Extracting #6: cost 19 inf + 2 18.289 * * [simplify]: Extracting #7: cost 17 inf + 60 18.290 * * [simplify]: Extracting #8: cost 13 inf + 451 18.290 * * [simplify]: Extracting #9: cost 9 inf + 1163 18.291 * * [simplify]: Extracting #10: cost 5 inf + 2315 18.292 * * [simplify]: Extracting #11: cost 0 inf + 4085 18.293 * [simplify]: Simplified to (/ (+ 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)))))))) 18.293 * [simplify]: Simplified (2 1) to (λ (x) (* (/ (+ 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 (hypot 1 x)) 1/2))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 18.294 * [simplify]: Simplifying (/ (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 18.294 * * [simplify]: iters left: 6 (11 enodes) 18.300 * * [simplify]: iters left: 5 (42 enodes) 18.309 * * [simplify]: iters left: 4 (53 enodes) 18.317 * * [simplify]: iters left: 3 (57 enodes) 18.325 * * [simplify]: Extracting #0: cost 1 inf + 0 18.325 * * [simplify]: Extracting #1: cost 7 inf + 0 18.325 * * [simplify]: Extracting #2: cost 16 inf + 0 18.325 * * [simplify]: Extracting #3: cost 19 inf + 1 18.325 * * [simplify]: Extracting #4: cost 22 inf + 1 18.325 * * [simplify]: Extracting #5: cost 23 inf + 2 18.325 * * [simplify]: Extracting #6: cost 25 inf + 2 18.326 * * [simplify]: Extracting #7: cost 19 inf + 451 18.326 * * [simplify]: Extracting #8: cost 9 inf + 2671 18.327 * * [simplify]: Extracting #9: cost 2 inf + 4997 18.328 * * [simplify]: Extracting #10: cost 0 inf + 5713 18.329 * [simplify]: Simplified to (/ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 18.329 * [simplify]: Simplified (2 2) to (λ (x) (* (/ (+ 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 (/ 1/2 (hypot 1 x))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 18.329 * * * * [progress]: [ 115 / 179 ] simplifiying candidate # 18.329 * [simplify]: Simplifying (/ (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 18.329 * * [simplify]: iters left: 6 (10 enodes) 18.332 * * [simplify]: iters left: 5 (34 enodes) 18.343 * * [simplify]: iters left: 4 (36 enodes) 18.354 * * [simplify]: Extracting #0: cost 1 inf + 0 18.354 * * [simplify]: Extracting #1: cost 4 inf + 0 18.354 * * [simplify]: Extracting #2: cost 8 inf + 0 18.354 * * [simplify]: Extracting #3: cost 9 inf + 1 18.354 * * [simplify]: Extracting #4: cost 12 inf + 1 18.354 * * [simplify]: Extracting #5: cost 13 inf + 2 18.354 * * [simplify]: Extracting #6: cost 15 inf + 2 18.354 * * [simplify]: Extracting #7: cost 13 inf + 60 18.354 * * [simplify]: Extracting #8: cost 9 inf + 451 18.355 * * [simplify]: Extracting #9: cost 4 inf + 1381 18.356 * * [simplify]: Extracting #10: cost 0 inf + 2493 18.356 * [simplify]: Simplified to (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 18.357 * [simplify]: Simplified (2 1) to (λ (x) (* (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 18.357 * [simplify]: Simplifying (/ (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 18.357 * * [simplify]: iters left: 6 (11 enodes) 18.363 * * [simplify]: iters left: 5 (42 enodes) 18.376 * * [simplify]: iters left: 4 (53 enodes) 18.394 * * [simplify]: iters left: 3 (57 enodes) 18.409 * * [simplify]: Extracting #0: cost 1 inf + 0 18.410 * * [simplify]: Extracting #1: cost 7 inf + 0 18.410 * * [simplify]: Extracting #2: cost 16 inf + 0 18.410 * * [simplify]: Extracting #3: cost 19 inf + 1 18.410 * * [simplify]: Extracting #4: cost 22 inf + 1 18.410 * * [simplify]: Extracting #5: cost 23 inf + 2 18.410 * * [simplify]: Extracting #6: cost 25 inf + 2 18.410 * * [simplify]: Extracting #7: cost 19 inf + 451 18.411 * * [simplify]: Extracting #8: cost 9 inf + 2591 18.412 * * [simplify]: Extracting #9: cost 2 inf + 4677 18.414 * * [simplify]: Extracting #10: cost 0 inf + 5313 18.416 * [simplify]: Simplified to (/ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 18.416 * [simplify]: Simplified (2 2) to (λ (x) (* (/ (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 18.416 * * * * [progress]: [ 116 / 179 ] simplifiying candidate # 18.417 * [simplify]: Simplifying (/ (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1) 18.417 * * [simplify]: iters left: 6 (9 enodes) 18.422 * * [simplify]: iters left: 5 (29 enodes) 18.427 * * [simplify]: iters left: 4 (31 enodes) 18.432 * * [simplify]: Extracting #0: cost 1 inf + 0 18.432 * * [simplify]: Extracting #1: cost 4 inf + 0 18.432 * * [simplify]: Extracting #2: cost 5 inf + 1 18.432 * * [simplify]: Extracting #3: cost 8 inf + 1 18.432 * * [simplify]: Extracting #4: cost 9 inf + 2 18.432 * * [simplify]: Extracting #5: cost 11 inf + 2 18.432 * * [simplify]: Extracting #6: cost 8 inf + 117 18.432 * * [simplify]: Extracting #7: cost 6 inf + 353 18.432 * * [simplify]: Extracting #8: cost 2 inf + 985 18.433 * * [simplify]: Extracting #9: cost 0 inf + 1381 18.433 * [simplify]: Simplified to (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 18.433 * [simplify]: Simplified (2 1) to (λ (x) (* (+ 1 (sqrt (+ 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)))))) 18.433 * [simplify]: Simplifying (/ (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 18.433 * * [simplify]: iters left: 6 (10 enodes) 18.436 * * [simplify]: iters left: 5 (39 enodes) 18.442 * * [simplify]: iters left: 4 (50 enodes) 18.452 * * [simplify]: iters left: 3 (54 enodes) 18.467 * * [simplify]: Extracting #0: cost 1 inf + 0 18.467 * * [simplify]: Extracting #1: cost 7 inf + 0 18.467 * * [simplify]: Extracting #2: cost 15 inf + 0 18.467 * * [simplify]: Extracting #3: cost 17 inf + 1 18.467 * * [simplify]: Extracting #4: cost 20 inf + 1 18.467 * * [simplify]: Extracting #5: cost 21 inf + 2 18.467 * * [simplify]: Extracting #6: cost 23 inf + 2 18.468 * * [simplify]: Extracting #7: cost 18 inf + 353 18.469 * * [simplify]: Extracting #8: cost 4 inf + 3405 18.470 * * [simplify]: Extracting #9: cost 0 inf + 4477 18.472 * [simplify]: Simplified to (/ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 18.472 * [simplify]: Simplified (2 2) to (λ (x) (* (/ (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1) (/ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 18.472 * * * * [progress]: [ 117 / 179 ] simplifiying candidate # 18.473 * [simplify]: Simplifying (/ (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1)) 18.473 * * [simplify]: iters left: 6 (10 enodes) 18.478 * * [simplify]: iters left: 5 (34 enodes) 18.488 * * [simplify]: iters left: 4 (36 enodes) 18.498 * * [simplify]: iters left: 3 (38 enodes) 18.508 * * [simplify]: Extracting #0: cost 1 inf + 0 18.508 * * [simplify]: Extracting #1: cost 4 inf + 0 18.508 * * [simplify]: Extracting #2: cost 5 inf + 1 18.508 * * [simplify]: Extracting #3: cost 8 inf + 1 18.508 * * [simplify]: Extracting #4: cost 9 inf + 2 18.508 * * [simplify]: Extracting #5: cost 11 inf + 2 18.508 * * [simplify]: Extracting #6: cost 9 inf + 60 18.508 * * [simplify]: Extracting #7: cost 5 inf + 451 18.509 * * [simplify]: Extracting #8: cost 0 inf + 1381 18.509 * [simplify]: Simplified to (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 18.509 * [simplify]: Simplified (2 1) to (λ (x) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 18.510 * [simplify]: Simplifying (/ (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 18.510 * * [simplify]: iters left: 6 (11 enodes) 18.521 * * [simplify]: iters left: 5 (42 enodes) 18.533 * * [simplify]: iters left: 4 (53 enodes) 18.544 * * [simplify]: iters left: 3 (57 enodes) 18.552 * * [simplify]: Extracting #0: cost 1 inf + 0 18.552 * * [simplify]: Extracting #1: cost 7 inf + 0 18.552 * * [simplify]: Extracting #2: cost 15 inf + 0 18.552 * * [simplify]: Extracting #3: cost 17 inf + 1 18.552 * * [simplify]: Extracting #4: cost 20 inf + 1 18.552 * * [simplify]: Extracting #5: cost 21 inf + 2 18.552 * * [simplify]: Extracting #6: cost 23 inf + 2 18.552 * * [simplify]: Extracting #7: cost 17 inf + 451 18.553 * * [simplify]: Extracting #8: cost 9 inf + 2075 18.553 * * [simplify]: Extracting #9: cost 2 inf + 3921 18.554 * * [simplify]: Extracting #10: cost 0 inf + 4477 18.555 * [simplify]: Simplified to (/ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 18.555 * [simplify]: Simplified (2 2) to (λ (x) (* (/ (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1)) (/ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 18.555 * * * * [progress]: [ 118 / 179 ] simplifiying candidate # 18.555 * [simplify]: Simplifying (/ (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1)) 18.555 * * [simplify]: iters left: 6 (10 enodes) 18.558 * * [simplify]: iters left: 5 (34 enodes) 18.563 * * [simplify]: iters left: 4 (36 enodes) 18.568 * * [simplify]: iters left: 3 (38 enodes) 18.574 * * [simplify]: Extracting #0: cost 1 inf + 0 18.574 * * [simplify]: Extracting #1: cost 4 inf + 0 18.574 * * [simplify]: Extracting #2: cost 5 inf + 1 18.574 * * [simplify]: Extracting #3: cost 8 inf + 1 18.574 * * [simplify]: Extracting #4: cost 9 inf + 2 18.574 * * [simplify]: Extracting #5: cost 11 inf + 2 18.574 * * [simplify]: Extracting #6: cost 9 inf + 60 18.574 * * [simplify]: Extracting #7: cost 5 inf + 451 18.575 * * [simplify]: Extracting #8: cost 0 inf + 1381 18.575 * [simplify]: Simplified to (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 18.575 * [simplify]: Simplified (2 1) to (λ (x) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 18.576 * [simplify]: Simplifying (/ (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 18.576 * * [simplify]: iters left: 6 (11 enodes) 18.583 * * [simplify]: iters left: 5 (42 enodes) 18.596 * * [simplify]: iters left: 4 (53 enodes) 18.611 * * [simplify]: iters left: 3 (57 enodes) 18.627 * * [simplify]: Extracting #0: cost 1 inf + 0 18.627 * * [simplify]: Extracting #1: cost 7 inf + 0 18.627 * * [simplify]: Extracting #2: cost 15 inf + 0 18.627 * * [simplify]: Extracting #3: cost 17 inf + 1 18.627 * * [simplify]: Extracting #4: cost 20 inf + 1 18.627 * * [simplify]: Extracting #5: cost 21 inf + 2 18.627 * * [simplify]: Extracting #6: cost 23 inf + 2 18.627 * * [simplify]: Extracting #7: cost 17 inf + 451 18.628 * * [simplify]: Extracting #8: cost 9 inf + 2075 18.629 * * [simplify]: Extracting #9: cost 2 inf + 3921 18.631 * * [simplify]: Extracting #10: cost 0 inf + 4477 18.632 * [simplify]: Simplified to (/ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 18.632 * [simplify]: Simplified (2 2) to (λ (x) (* (/ (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1)) (/ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 18.632 * * * * [progress]: [ 119 / 179 ] simplifiying candidate # 18.633 * [simplify]: Simplifying (/ (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1) 18.633 * * [simplify]: iters left: 6 (9 enodes) 18.637 * * [simplify]: iters left: 5 (29 enodes) 18.650 * * [simplify]: iters left: 4 (31 enodes) 18.658 * * [simplify]: Extracting #0: cost 1 inf + 0 18.659 * * [simplify]: Extracting #1: cost 4 inf + 0 18.659 * * [simplify]: Extracting #2: cost 5 inf + 1 18.659 * * [simplify]: Extracting #3: cost 8 inf + 1 18.659 * * [simplify]: Extracting #4: cost 9 inf + 2 18.659 * * [simplify]: Extracting #5: cost 11 inf + 2 18.659 * * [simplify]: Extracting #6: cost 8 inf + 117 18.659 * * [simplify]: Extracting #7: cost 6 inf + 353 18.659 * * [simplify]: Extracting #8: cost 2 inf + 985 18.660 * * [simplify]: Extracting #9: cost 0 inf + 1381 18.661 * [simplify]: Simplified to (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 18.661 * [simplify]: Simplified (2 1) to (λ (x) (* (+ 1 (sqrt (+ 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)))))) 18.661 * [simplify]: Simplifying (/ (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 18.661 * * [simplify]: iters left: 6 (10 enodes) 18.666 * * [simplify]: iters left: 5 (39 enodes) 18.673 * * [simplify]: iters left: 4 (50 enodes) 18.680 * * [simplify]: iters left: 3 (54 enodes) 18.687 * * [simplify]: Extracting #0: cost 1 inf + 0 18.688 * * [simplify]: Extracting #1: cost 7 inf + 0 18.688 * * [simplify]: Extracting #2: cost 15 inf + 0 18.688 * * [simplify]: Extracting #3: cost 17 inf + 1 18.688 * * [simplify]: Extracting #4: cost 20 inf + 1 18.688 * * [simplify]: Extracting #5: cost 21 inf + 2 18.688 * * [simplify]: Extracting #6: cost 23 inf + 2 18.688 * * [simplify]: Extracting #7: cost 18 inf + 353 18.688 * * [simplify]: Extracting #8: cost 4 inf + 3405 18.689 * * [simplify]: Extracting #9: cost 0 inf + 4477 18.690 * [simplify]: Simplified to (/ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 18.690 * [simplify]: Simplified (2 2) to (λ (x) (* (/ (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1) (/ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 18.690 * * * * [progress]: [ 120 / 179 ] simplifiying candidate # 18.690 * * * * [progress]: [ 121 / 179 ] simplifiying candidate # 18.690 * * * * [progress]: [ 122 / 179 ] simplifiying candidate # 18.690 * * * * [progress]: [ 123 / 179 ] simplifiying candidate # 18.690 * [simplify]: Simplifying (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 18.691 * * [simplify]: iters left: 6 (9 enodes) 18.693 * * [simplify]: iters left: 5 (31 enodes) 18.701 * * [simplify]: iters left: 4 (33 enodes) 18.711 * * [simplify]: Extracting #0: cost 1 inf + 0 18.711 * * [simplify]: Extracting #1: cost 3 inf + 0 18.711 * * [simplify]: Extracting #2: cost 6 inf + 0 18.711 * * [simplify]: Extracting #3: cost 7 inf + 1 18.711 * * [simplify]: Extracting #4: cost 10 inf + 1 18.711 * * [simplify]: Extracting #5: cost 11 inf + 2 18.711 * * [simplify]: Extracting #6: cost 13 inf + 2 18.711 * * [simplify]: Extracting #7: cost 10 inf + 117 18.712 * * [simplify]: Extracting #8: cost 8 inf + 353 18.712 * * [simplify]: Extracting #9: cost 4 inf + 985 18.713 * * [simplify]: Extracting #10: cost 0 inf + 1977 18.713 * [simplify]: Simplified to (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 18.713 * [simplify]: Simplified (2 2) to (λ (x) (/ (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (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 (/ 1/2 (hypot 1 x)))))))) 18.713 * * * * [progress]: [ 124 / 179 ] simplifiying candidate # 18.714 * [simplify]: Simplifying (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 18.714 * * [simplify]: iters left: 6 (9 enodes) 18.718 * * [simplify]: iters left: 5 (31 enodes) 18.726 * * [simplify]: iters left: 4 (33 enodes) 18.730 * * [simplify]: Extracting #0: cost 1 inf + 0 18.730 * * [simplify]: Extracting #1: cost 3 inf + 0 18.730 * * [simplify]: Extracting #2: cost 6 inf + 0 18.730 * * [simplify]: Extracting #3: cost 7 inf + 1 18.730 * * [simplify]: Extracting #4: cost 10 inf + 1 18.730 * * [simplify]: Extracting #5: cost 11 inf + 2 18.731 * * [simplify]: Extracting #6: cost 13 inf + 2 18.731 * * [simplify]: Extracting #7: cost 10 inf + 117 18.731 * * [simplify]: Extracting #8: cost 8 inf + 353 18.731 * * [simplify]: Extracting #9: cost 4 inf + 985 18.731 * * [simplify]: Extracting #10: cost 0 inf + 1897 18.731 * [simplify]: Simplified to (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 18.731 * [simplify]: Simplified (2 2) to (λ (x) (/ (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 18.732 * * * * [progress]: [ 125 / 179 ] simplifiying candidate # 18.732 * [simplify]: Simplifying (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 18.732 * * [simplify]: iters left: 6 (8 enodes) 18.734 * * [simplify]: iters left: 5 (28 enodes) 18.738 * * [simplify]: iters left: 4 (30 enodes) 18.743 * * [simplify]: Extracting #0: cost 1 inf + 0 18.743 * * [simplify]: Extracting #1: cost 4 inf + 0 18.743 * * [simplify]: Extracting #2: cost 5 inf + 1 18.743 * * [simplify]: Extracting #3: cost 8 inf + 1 18.743 * * [simplify]: Extracting #4: cost 9 inf + 2 18.743 * * [simplify]: Extracting #5: cost 11 inf + 2 18.743 * * [simplify]: Extracting #6: cost 9 inf + 60 18.743 * * [simplify]: Extracting #7: cost 5 inf + 451 18.743 * * [simplify]: Extracting #8: cost 1 inf + 1163 18.743 * * [simplify]: Extracting #9: cost 0 inf + 1381 18.744 * [simplify]: Simplified to (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 18.744 * [simplify]: Simplified (2 2) to (λ (x) (/ (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 18.744 * * * * [progress]: [ 126 / 179 ] simplifiying candidate # 18.744 * [simplify]: Simplifying (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 18.744 * * [simplify]: iters left: 6 (9 enodes) 18.747 * * [simplify]: iters left: 5 (31 enodes) 18.754 * * [simplify]: iters left: 4 (33 enodes) 18.759 * * [simplify]: Extracting #0: cost 1 inf + 0 18.759 * * [simplify]: Extracting #1: cost 4 inf + 0 18.759 * * [simplify]: Extracting #2: cost 5 inf + 1 18.759 * * [simplify]: Extracting #3: cost 8 inf + 1 18.759 * * [simplify]: Extracting #4: cost 9 inf + 2 18.759 * * [simplify]: Extracting #5: cost 11 inf + 2 18.759 * * [simplify]: Extracting #6: cost 10 inf + 3 18.759 * * [simplify]: Extracting #7: cost 8 inf + 158 18.760 * * [simplify]: Extracting #8: cost 4 inf + 629 18.760 * * [simplify]: Extracting #9: cost 0 inf + 1381 18.760 * [simplify]: Simplified to (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 18.760 * [simplify]: Simplified (2 2) to (λ (x) (/ (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt 1)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 18.760 * * * * [progress]: [ 127 / 179 ] simplifiying candidate # 18.760 * [simplify]: Simplifying (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 18.761 * * [simplify]: iters left: 6 (9 enodes) 18.764 * * [simplify]: iters left: 5 (31 enodes) 18.773 * * [simplify]: iters left: 4 (33 enodes) 18.782 * * [simplify]: Extracting #0: cost 1 inf + 0 18.782 * * [simplify]: Extracting #1: cost 4 inf + 0 18.782 * * [simplify]: Extracting #2: cost 5 inf + 1 18.782 * * [simplify]: Extracting #3: cost 8 inf + 1 18.782 * * [simplify]: Extracting #4: cost 9 inf + 2 18.782 * * [simplify]: Extracting #5: cost 11 inf + 2 18.782 * * [simplify]: Extracting #6: cost 10 inf + 3 18.783 * * [simplify]: Extracting #7: cost 8 inf + 158 18.783 * * [simplify]: Extracting #8: cost 4 inf + 629 18.784 * * [simplify]: Extracting #9: cost 0 inf + 1381 18.784 * [simplify]: Simplified to (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 18.784 * [simplify]: Simplified (2 2) to (λ (x) (/ (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt 1)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 18.784 * * * * [progress]: [ 128 / 179 ] simplifiying candidate # 18.785 * [simplify]: Simplifying (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 18.785 * * [simplify]: iters left: 6 (8 enodes) 18.789 * * [simplify]: iters left: 5 (28 enodes) 18.795 * * [simplify]: iters left: 4 (30 enodes) 18.799 * * [simplify]: Extracting #0: cost 1 inf + 0 18.799 * * [simplify]: Extracting #1: cost 4 inf + 0 18.799 * * [simplify]: Extracting #2: cost 5 inf + 1 18.799 * * [simplify]: Extracting #3: cost 8 inf + 1 18.799 * * [simplify]: Extracting #4: cost 9 inf + 2 18.799 * * [simplify]: Extracting #5: cost 11 inf + 2 18.799 * * [simplify]: Extracting #6: cost 9 inf + 60 18.799 * * [simplify]: Extracting #7: cost 5 inf + 451 18.799 * * [simplify]: Extracting #8: cost 1 inf + 1163 18.800 * * [simplify]: Extracting #9: cost 0 inf + 1381 18.800 * [simplify]: Simplified to (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 18.800 * [simplify]: Simplified (2 2) to (λ (x) (/ (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 18.800 * * * * [progress]: [ 129 / 179 ] simplifiying candidate # 18.800 * [simplify]: Simplifying (* (cbrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 18.800 * * [simplify]: iters left: 6 (12 enodes) 18.803 * * [simplify]: iters left: 5 (38 enodes) 18.809 * * [simplify]: iters left: 4 (52 enodes) 18.819 * * [simplify]: iters left: 3 (65 enodes) 18.829 * * [simplify]: iters left: 2 (75 enodes) 18.838 * * [simplify]: iters left: 1 (81 enodes) 18.851 * * [simplify]: Extracting #0: cost 1 inf + 0 18.851 * * [simplify]: Extracting #1: cost 3 inf + 0 18.851 * * [simplify]: Extracting #2: cost 5 inf + 0 18.851 * * [simplify]: Extracting #3: cost 16 inf + 0 18.851 * * [simplify]: Extracting #4: cost 21 inf + 3 18.851 * * [simplify]: Extracting #5: cost 23 inf + 3 18.852 * * [simplify]: Extracting #6: cost 17 inf + 452 18.852 * * [simplify]: Extracting #7: cost 7 inf + 2032 18.854 * * [simplify]: Extracting #8: cost 1 inf + 3140 18.855 * * [simplify]: Extracting #9: cost 0 inf + 3358 18.856 * [simplify]: Simplified to (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) 18.856 * [simplify]: Simplified (2 1) to (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 18.857 * * * * [progress]: [ 130 / 179 ] simplifiying candidate # 18.857 * [simplify]: Simplifying (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 18.857 * * [simplify]: iters left: 6 (11 enodes) 18.863 * * [simplify]: iters left: 5 (35 enodes) 18.875 * * [simplify]: iters left: 4 (49 enodes) 18.890 * * [simplify]: iters left: 3 (62 enodes) 18.908 * * [simplify]: iters left: 2 (72 enodes) 18.927 * * [simplify]: iters left: 1 (78 enodes) 18.948 * * [simplify]: Extracting #0: cost 1 inf + 0 18.948 * * [simplify]: Extracting #1: cost 3 inf + 0 18.948 * * [simplify]: Extracting #2: cost 14 inf + 0 18.948 * * [simplify]: Extracting #3: cost 19 inf + 3 18.948 * * [simplify]: Extracting #4: cost 21 inf + 3 18.948 * * [simplify]: Extracting #5: cost 14 inf + 630 18.949 * * [simplify]: Extracting #6: cost 5 inf + 1832 18.950 * * [simplify]: Extracting #7: cost 2 inf + 2326 18.952 * * [simplify]: Extracting #8: cost 0 inf + 2762 18.953 * [simplify]: Simplified to (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 18.953 * [simplify]: Simplified (2 1) to (λ (x) (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 18.953 * * * * [progress]: [ 131 / 179 ] simplifiying candidate # 18.953 * * * * [progress]: [ 132 / 179 ] simplifiying candidate # 18.954 * [simplify]: Simplifying (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 18.954 * * [simplify]: iters left: 6 (8 enodes) 18.958 * * [simplify]: iters left: 5 (28 enodes) 18.967 * * [simplify]: iters left: 4 (30 enodes) 18.977 * * [simplify]: Extracting #0: cost 1 inf + 0 18.977 * * [simplify]: Extracting #1: cost 4 inf + 0 18.977 * * [simplify]: Extracting #2: cost 5 inf + 1 18.977 * * [simplify]: Extracting #3: cost 8 inf + 1 18.977 * * [simplify]: Extracting #4: cost 9 inf + 2 18.977 * * [simplify]: Extracting #5: cost 11 inf + 2 18.977 * * [simplify]: Extracting #6: cost 9 inf + 60 18.977 * * [simplify]: Extracting #7: cost 5 inf + 451 18.978 * * [simplify]: Extracting #8: cost 1 inf + 1163 18.978 * * [simplify]: Extracting #9: cost 0 inf + 1381 18.979 * [simplify]: Simplified to (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 18.979 * [simplify]: Simplified (2 1) to (λ (x) (/ (+ 1 (sqrt (+ 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)))))) 18.979 * * * * [progress]: [ 133 / 179 ] simplifiying candidate # 18.979 * [simplify]: Simplifying (+ (* 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))))) 18.979 * * [simplify]: iters left: 6 (12 enodes) 18.986 * * [simplify]: iters left: 5 (44 enodes) 19.005 * * [simplify]: iters left: 4 (86 enodes) 19.022 * * [simplify]: iters left: 3 (160 enodes) 19.067 * * [simplify]: iters left: 2 (268 enodes) 19.143 * * [simplify]: iters left: 1 (386 enodes) 19.338 * * [simplify]: Extracting #0: cost 1 inf + 0 19.339 * * [simplify]: Extracting #1: cost 36 inf + 0 19.340 * * [simplify]: Extracting #2: cost 57 inf + 5 19.340 * * [simplify]: Extracting #3: cost 58 inf + 6 19.341 * * [simplify]: Extracting #4: cost 50 inf + 732 19.343 * * [simplify]: Extracting #5: cost 35 inf + 2968 19.349 * * [simplify]: Extracting #6: cost 11 inf + 8405 19.359 * * [simplify]: Extracting #7: cost 0 inf + 11125 19.369 * [simplify]: Simplified to (+ 1 (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 19.369 * [simplify]: Simplified (2 2) to (λ (x) (* (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))) (+ 1 (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 19.370 * * * * [progress]: [ 134 / 179 ] simplifiying candidate # 19.370 * [simplify]: Simplifying (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 19.370 * * [simplify]: iters left: 6 (8 enodes) 19.375 * * [simplify]: iters left: 5 (29 enodes) 19.384 * * [simplify]: iters left: 4 (34 enodes) 19.394 * * [simplify]: Extracting #0: cost 1 inf + 0 19.394 * * [simplify]: Extracting #1: cost 5 inf + 0 19.394 * * [simplify]: Extracting #2: cost 7 inf + 1 19.394 * * [simplify]: Extracting #3: cost 10 inf + 1 19.394 * * [simplify]: Extracting #4: cost 11 inf + 2 19.394 * * [simplify]: Extracting #5: cost 13 inf + 2 19.394 * * [simplify]: Extracting #6: cost 11 inf + 60 19.394 * * [simplify]: Extracting #7: cost 7 inf + 451 19.395 * * [simplify]: Extracting #8: cost 0 inf + 1817 19.396 * [simplify]: Simplified to (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 19.396 * [simplify]: Simplified (2 2) to (λ (x) (* (/ (- (* 1 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 (/ 1/2 (hypot 1 x))))))) 19.396 * * * * [progress]: [ 135 / 179 ] simplifiying candidate # 19.396 * [simplify]: Simplifying (- (pow (* 1 1) 3) (pow (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 3)) 19.396 * * [simplify]: iters left: 6 (13 enodes) 19.404 * * [simplify]: iters left: 5 (53 enodes) 19.428 * * [simplify]: iters left: 4 (119 enodes) 19.464 * * [simplify]: iters left: 3 (414 enodes) 19.752 * * [simplify]: Extracting #0: cost 1 inf + 0 19.752 * * [simplify]: Extracting #1: cost 29 inf + 0 19.753 * * [simplify]: Extracting #2: cost 230 inf + 1 19.755 * * [simplify]: Extracting #3: cost 287 inf + 8 19.758 * * [simplify]: Extracting #4: cost 282 inf + 14 19.760 * * [simplify]: Extracting #5: cost 260 inf + 3782 19.769 * * [simplify]: Extracting #6: cost 108 inf + 46814 19.790 * * [simplify]: Extracting #7: cost 16 inf + 77276 19.823 * * [simplify]: Extracting #8: cost 0 inf + 84880 19.862 * [simplify]: Simplified to (- 1 (* (+ (/ 1/2 (hypot 1 x)) 1/2) (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)))) 19.862 * [simplify]: Simplified (2 1) to (λ (x) (/ (- 1 (* (+ (/ 1/2 (hypot 1 x)) 1/2) (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* (* 1 1) (* 1 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)))) (* (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 19.863 * * * * [progress]: [ 136 / 179 ] simplifiying candidate # 19.863 * [simplify]: Simplifying (- (* (* 1 1) (* 1 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))))) 19.863 * * [simplify]: iters left: 6 (12 enodes) 19.870 * * [simplify]: iters left: 5 (40 enodes) 19.884 * * [simplify]: iters left: 4 (79 enodes) 19.911 * * [simplify]: iters left: 3 (215 enodes) 19.958 * * [simplify]: iters left: 2 (405 enodes) 20.131 * * [simplify]: Extracting #0: cost 1 inf + 0 20.131 * * [simplify]: Extracting #1: cost 47 inf + 0 20.133 * * [simplify]: Extracting #2: cost 130 inf + 4 20.134 * * [simplify]: Extracting #3: cost 144 inf + 8 20.136 * * [simplify]: Extracting #4: cost 135 inf + 678 20.141 * * [simplify]: Extracting #5: cost 76 inf + 10894 20.153 * * [simplify]: Extracting #6: cost 18 inf + 25531 20.169 * * [simplify]: Extracting #7: cost 0 inf + 33257 20.186 * * [simplify]: Extracting #8: cost 0 inf + 33256 20.202 * [simplify]: Simplified to (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x))))) 20.202 * [simplify]: Simplified (2 1) to (λ (x) (/ (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (+ 1 (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))))))) 20.203 * * * * [progress]: [ 137 / 179 ] simplifiying candidate #real (real->posit16 (/ (- (* 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)))))))> 20.203 * * * * [progress]: [ 138 / 179 ] simplifiying candidate # 20.203 * * * * [progress]: [ 139 / 179 ] simplifiying candidate # 20.203 * * * * [progress]: [ 140 / 179 ] simplifiying candidate # 20.203 * * * * [progress]: [ 141 / 179 ] simplifiying candidate # 20.203 * [simplify]: Simplifying (- (log 1/2) (log (hypot 1 x))) 20.203 * * [simplify]: iters left: 4 (7 enodes) 20.206 * * [simplify]: iters left: 3 (25 enodes) 20.211 * * [simplify]: iters left: 2 (30 enodes) 20.215 * * [simplify]: Extracting #0: cost 1 inf + 0 20.215 * * [simplify]: Extracting #1: cost 5 inf + 0 20.216 * * [simplify]: Extracting #2: cost 10 inf + 0 20.216 * * [simplify]: Extracting #3: cost 12 inf + 1 20.216 * * [simplify]: Extracting #4: cost 8 inf + 145 20.216 * * [simplify]: Extracting #5: cost 5 inf + 496 20.216 * * [simplify]: Extracting #6: cost 1 inf + 1085 20.216 * * [simplify]: Extracting #7: cost 0 inf + 1323 20.216 * [simplify]: Simplified to (- (log 1/2) (log (hypot 1 x))) 20.216 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (exp (- (log 1/2) (log (hypot 1 x)))) 1/2))))) 20.216 * * * * [progress]: [ 142 / 179 ] simplifiying candidate # 20.217 * * * * [progress]: [ 143 / 179 ] simplifiying candidate # 20.217 * * * * [progress]: [ 144 / 179 ] simplifiying candidate # 20.217 * [simplify]: Simplifying (/ (* (* 1/2 1/2) 1/2) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 20.217 * * [simplify]: iters left: 6 (9 enodes) 20.224 * * [simplify]: iters left: 5 (39 enodes) 20.232 * * [simplify]: iters left: 4 (84 enodes) 20.263 * * [simplify]: iters left: 3 (177 enodes) 20.325 * * [simplify]: iters left: 2 (274 enodes) 20.412 * * [simplify]: iters left: 1 (390 enodes) 20.538 * * [simplify]: Extracting #0: cost 1 inf + 0 20.538 * * [simplify]: Extracting #1: cost 52 inf + 0 20.539 * * [simplify]: Extracting #2: cost 110 inf + 3 20.539 * * [simplify]: Extracting #3: cost 98 inf + 1349 20.542 * * [simplify]: Extracting #4: cost 44 inf + 11555 20.545 * * [simplify]: Extracting #5: cost 7 inf + 27227 20.550 * * [simplify]: Extracting #6: cost 0 inf + 31060 20.554 * [simplify]: Simplified to (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))) 20.554 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (cbrt (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) 1/2))))) 20.555 * * * * [progress]: [ 145 / 179 ] simplifiying candidate # 20.555 * * * * [progress]: [ 146 / 179 ] simplifiying candidate # 20.555 * * * * [progress]: [ 147 / 179 ] simplifiying candidate # 20.555 * * * * [progress]: [ 148 / 179 ] simplifiying candidate # 20.555 * * * * [progress]: [ 149 / 179 ] simplifiying candidate # 20.555 * [simplify]: Simplifying (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 20.555 * * [simplify]: iters left: 6 (9 enodes) 20.558 * * [simplify]: iters left: 5 (35 enodes) 20.564 * * [simplify]: iters left: 4 (52 enodes) 20.576 * * [simplify]: iters left: 3 (59 enodes) 20.593 * * [simplify]: iters left: 2 (62 enodes) 20.612 * * [simplify]: Extracting #0: cost 1 inf + 0 20.612 * * [simplify]: Extracting #1: cost 11 inf + 0 20.612 * * [simplify]: Extracting #2: cost 22 inf + 0 20.612 * * [simplify]: Extracting #3: cost 24 inf + 1 20.612 * * [simplify]: Extracting #4: cost 20 inf + 141 20.613 * * [simplify]: Extracting #5: cost 4 inf + 3413 20.613 * * [simplify]: Extracting #6: cost 0 inf + 4565 20.614 * [simplify]: Simplified to (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) 20.614 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) 1/2))))) 20.614 * [simplify]: Simplifying (/ (cbrt 1/2) (cbrt (hypot 1 x))) 20.614 * * [simplify]: iters left: 4 (7 enodes) 20.617 * * [simplify]: iters left: 3 (23 enodes) 20.621 * * [simplify]: iters left: 2 (25 enodes) 20.625 * * [simplify]: Extracting #0: cost 1 inf + 0 20.625 * * [simplify]: Extracting #1: cost 4 inf + 0 20.625 * * [simplify]: Extracting #2: cost 8 inf + 0 20.625 * * [simplify]: Extracting #3: cost 10 inf + 1 20.625 * * [simplify]: Extracting #4: cost 6 inf + 165 20.625 * * [simplify]: Extracting #5: cost 2 inf + 674 20.625 * * [simplify]: Extracting #6: cost 0 inf + 1069 20.625 * [simplify]: Simplified to (/ (cbrt 1/2) (cbrt (hypot 1 x))) 20.625 * [simplify]: Simplified (2 2 2 1 1 2) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) 1/2))))) 20.625 * * * * [progress]: [ 150 / 179 ] simplifiying candidate # 20.626 * [simplify]: Simplifying (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 20.626 * * [simplify]: iters left: 5 (8 enodes) 20.628 * * [simplify]: iters left: 4 (28 enodes) 20.633 * * [simplify]: iters left: 3 (34 enodes) 20.638 * * [simplify]: iters left: 2 (37 enodes) 20.648 * * [simplify]: Extracting #0: cost 1 inf + 0 20.648 * * [simplify]: Extracting #1: cost 7 inf + 0 20.649 * * [simplify]: Extracting #2: cost 14 inf + 0 20.649 * * [simplify]: Extracting #3: cost 16 inf + 1 20.649 * * [simplify]: Extracting #4: cost 12 inf + 141 20.649 * * [simplify]: Extracting #5: cost 1 inf + 1885 20.650 * * [simplify]: Extracting #6: cost 0 inf + 2103 20.651 * [simplify]: Simplified to (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2))) 20.651 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (* (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) 1/2))))) 20.651 * [simplify]: Simplifying (/ (cbrt 1/2) (sqrt (hypot 1 x))) 20.651 * * [simplify]: iters left: 4 (7 enodes) 20.655 * * [simplify]: iters left: 3 (23 enodes) 20.663 * * [simplify]: iters left: 2 (25 enodes) 20.671 * * [simplify]: Extracting #0: cost 1 inf + 0 20.671 * * [simplify]: Extracting #1: cost 4 inf + 0 20.671 * * [simplify]: Extracting #2: cost 8 inf + 0 20.671 * * [simplify]: Extracting #3: cost 10 inf + 1 20.671 * * [simplify]: Extracting #4: cost 6 inf + 165 20.671 * * [simplify]: Extracting #5: cost 2 inf + 594 20.672 * * [simplify]: Extracting #6: cost 0 inf + 909 20.672 * [simplify]: Simplified to (/ (cbrt 1/2) (sqrt (hypot 1 x))) 20.672 * [simplify]: Simplified (2 2 2 1 1 2) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (* (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) 1/2))))) 20.672 * * * * [progress]: [ 151 / 179 ] simplifiying candidate # 20.673 * [simplify]: Simplifying (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 20.673 * * [simplify]: iters left: 5 (5 enodes) 20.676 * * [simplify]: iters left: 4 (17 enodes) 20.683 * * [simplify]: iters left: 3 (27 enodes) 20.691 * * [simplify]: iters left: 2 (28 enodes) 20.699 * * [simplify]: Extracting #0: cost 1 inf + 0 20.700 * * [simplify]: Extracting #1: cost 5 inf + 0 20.700 * * [simplify]: Extracting #2: cost 7 inf + 1 20.700 * * [simplify]: Extracting #3: cost 6 inf + 2 20.700 * * [simplify]: Extracting #4: cost 1 inf + 528 20.700 * * [simplify]: Extracting #5: cost 0 inf + 650 20.700 * [simplify]: Simplified to (* (cbrt 1/2) (cbrt 1/2)) 20.700 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (* (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x))) 1/2))))) 20.701 * [simplify]: Simplifying (/ (cbrt 1/2) (hypot 1 x)) 20.701 * * [simplify]: iters left: 3 (6 enodes) 20.705 * * [simplify]: iters left: 2 (20 enodes) 20.711 * * [simplify]: iters left: 1 (22 enodes) 20.719 * * [simplify]: Extracting #0: cost 1 inf + 0 20.719 * * [simplify]: Extracting #1: cost 4 inf + 0 20.719 * * [simplify]: Extracting #2: cost 9 inf + 0 20.719 * * [simplify]: Extracting #3: cost 6 inf + 3 20.719 * * [simplify]: Extracting #4: cost 1 inf + 457 20.719 * * [simplify]: Extracting #5: cost 0 inf + 635 20.720 * [simplify]: Simplified to (/ (cbrt 1/2) (hypot 1 x)) 20.720 * [simplify]: Simplified (2 2 2 1 1 2) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (* (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x))) 1/2))))) 20.720 * * * * [progress]: [ 152 / 179 ] simplifiying candidate # 20.720 * [simplify]: Simplifying (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 20.720 * * [simplify]: iters left: 6 (8 enodes) 20.725 * * [simplify]: iters left: 5 (28 enodes) 20.735 * * [simplify]: iters left: 4 (32 enodes) 20.748 * * [simplify]: Extracting #0: cost 1 inf + 0 20.748 * * [simplify]: Extracting #1: cost 6 inf + 0 20.748 * * [simplify]: Extracting #2: cost 12 inf + 0 20.748 * * [simplify]: Extracting #3: cost 14 inf + 1 20.748 * * [simplify]: Extracting #4: cost 11 inf + 44 20.748 * * [simplify]: Extracting #5: cost 7 inf + 336 20.749 * * [simplify]: Extracting #6: cost 0 inf + 1779 20.749 * [simplify]: Simplified to (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) 20.749 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x)))) 1/2))))) 20.750 * [simplify]: Simplifying (/ (sqrt 1/2) (cbrt (hypot 1 x))) 20.750 * * [simplify]: iters left: 4 (7 enodes) 20.754 * * [simplify]: iters left: 3 (23 enodes) 20.762 * * [simplify]: iters left: 2 (25 enodes) 20.770 * * [simplify]: Extracting #0: cost 1 inf + 0 20.770 * * [simplify]: Extracting #1: cost 4 inf + 0 20.770 * * [simplify]: Extracting #2: cost 8 inf + 0 20.770 * * [simplify]: Extracting #3: cost 10 inf + 1 20.770 * * [simplify]: Extracting #4: cost 6 inf + 85 20.771 * * [simplify]: Extracting #5: cost 2 inf + 554 20.771 * * [simplify]: Extracting #6: cost 0 inf + 909 20.771 * [simplify]: Simplified to (/ (sqrt 1/2) (cbrt (hypot 1 x))) 20.771 * [simplify]: Simplified (2 2 2 1 1 2) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x)))) 1/2))))) 20.771 * * * * [progress]: [ 153 / 179 ] simplifiying candidate # 20.772 * [simplify]: Simplifying (/ (sqrt 1/2) (sqrt (hypot 1 x))) 20.772 * * [simplify]: iters left: 4 (7 enodes) 20.776 * * [simplify]: iters left: 3 (23 enodes) 20.784 * * [simplify]: iters left: 2 (25 enodes) 20.792 * * [simplify]: Extracting #0: cost 1 inf + 0 20.792 * * [simplify]: Extracting #1: cost 4 inf + 0 20.792 * * [simplify]: Extracting #2: cost 8 inf + 0 20.792 * * [simplify]: Extracting #3: cost 10 inf + 1 20.792 * * [simplify]: Extracting #4: cost 6 inf + 85 20.793 * * [simplify]: Extracting #5: cost 2 inf + 474 20.793 * * [simplify]: Extracting #6: cost 0 inf + 749 20.793 * [simplify]: Simplified to (/ (sqrt 1/2) (sqrt (hypot 1 x))) 20.793 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 1/2))))) 20.794 * [simplify]: Simplifying (/ (sqrt 1/2) (sqrt (hypot 1 x))) 20.794 * * [simplify]: iters left: 4 (7 enodes) 20.798 * * [simplify]: iters left: 3 (23 enodes) 20.806 * * [simplify]: iters left: 2 (25 enodes) 20.814 * * [simplify]: Extracting #0: cost 1 inf + 0 20.814 * * [simplify]: Extracting #1: cost 4 inf + 0 20.814 * * [simplify]: Extracting #2: cost 8 inf + 0 20.814 * * [simplify]: Extracting #3: cost 10 inf + 1 20.814 * * [simplify]: Extracting #4: cost 6 inf + 85 20.814 * * [simplify]: Extracting #5: cost 2 inf + 474 20.815 * * [simplify]: Extracting #6: cost 0 inf + 749 20.815 * [simplify]: Simplified to (/ (sqrt 1/2) (sqrt (hypot 1 x))) 20.815 * [simplify]: Simplified (2 2 2 1 1 2) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 1/2))))) 20.815 * * * * [progress]: [ 154 / 179 ] simplifiying candidate # 20.816 * [simplify]: Simplifying (/ (sqrt 1/2) 1) 20.816 * * [simplify]: iters left: 3 (4 enodes) 20.819 * * [simplify]: iters left: 2 (12 enodes) 20.823 * * [simplify]: iters left: 1 (14 enodes) 20.828 * * [simplify]: Extracting #0: cost 1 inf + 0 20.828 * * [simplify]: Extracting #1: cost 4 inf + 0 20.828 * * [simplify]: Extracting #2: cost 0 inf + 84 20.828 * [simplify]: Simplified to (sqrt 1/2) 20.828 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (* (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x))) 1/2))))) 20.829 * [simplify]: Simplifying (/ (sqrt 1/2) (hypot 1 x)) 20.829 * * [simplify]: iters left: 3 (6 enodes) 20.832 * * [simplify]: iters left: 2 (20 enodes) 20.839 * * [simplify]: iters left: 1 (22 enodes) 20.846 * * [simplify]: Extracting #0: cost 1 inf + 0 20.847 * * [simplify]: Extracting #1: cost 4 inf + 0 20.847 * * [simplify]: Extracting #2: cost 9 inf + 0 20.847 * * [simplify]: Extracting #3: cost 6 inf + 3 20.847 * * [simplify]: Extracting #4: cost 1 inf + 337 20.847 * * [simplify]: Extracting #5: cost 0 inf + 475 20.847 * [simplify]: Simplified to (/ (sqrt 1/2) (hypot 1 x)) 20.847 * [simplify]: Simplified (2 2 2 1 1 2) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (* (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x))) 1/2))))) 20.848 * * * * [progress]: [ 155 / 179 ] simplifiying candidate # 20.848 * [simplify]: Simplifying (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 20.848 * * [simplify]: iters left: 6 (6 enodes) 20.851 * * [simplify]: iters left: 5 (22 enodes) 20.859 * * [simplify]: iters left: 4 (26 enodes) 20.867 * * [simplify]: Extracting #0: cost 1 inf + 0 20.867 * * [simplify]: Extracting #1: cost 6 inf + 0 20.867 * * [simplify]: Extracting #2: cost 9 inf + 1 20.867 * * [simplify]: Extracting #3: cost 11 inf + 1 20.867 * * [simplify]: Extracting #4: cost 8 inf + 116 20.867 * * [simplify]: Extracting #5: cost 2 inf + 1138 20.868 * * [simplify]: Extracting #6: cost 0 inf + 1532 20.868 * [simplify]: Simplified to (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 20.868 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (* (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x)))) 1/2))))) 20.868 * [simplify]: Simplifying (/ 1/2 (cbrt (hypot 1 x))) 20.869 * * [simplify]: iters left: 4 (6 enodes) 20.872 * * [simplify]: iters left: 3 (20 enodes) 20.878 * * [simplify]: iters left: 2 (22 enodes) 20.885 * * [simplify]: Extracting #0: cost 1 inf + 0 20.885 * * [simplify]: Extracting #1: cost 4 inf + 0 20.885 * * [simplify]: Extracting #2: cost 5 inf + 1 20.885 * * [simplify]: Extracting #3: cost 8 inf + 1 20.885 * * [simplify]: Extracting #4: cost 6 inf + 3 20.885 * * [simplify]: Extracting #5: cost 1 inf + 569 20.886 * * [simplify]: Extracting #6: cost 0 inf + 747 20.886 * [simplify]: Simplified to (/ 1/2 (cbrt (hypot 1 x))) 20.886 * [simplify]: Simplified (2 2 2 1 1 2) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (* (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x)))) 1/2))))) 20.886 * * * * [progress]: [ 156 / 179 ] simplifiying candidate # 20.886 * [simplify]: Simplifying (/ 1 (sqrt (hypot 1 x))) 20.887 * * [simplify]: iters left: 4 (5 enodes) 20.889 * * [simplify]: iters left: 3 (17 enodes) 20.894 * * [simplify]: iters left: 2 (19 enodes) 20.900 * * [simplify]: Extracting #0: cost 1 inf + 0 20.900 * * [simplify]: Extracting #1: cost 4 inf + 0 20.900 * * [simplify]: Extracting #2: cost 5 inf + 1 20.900 * * [simplify]: Extracting #3: cost 7 inf + 1 20.900 * * [simplify]: Extracting #4: cost 0 inf + 584 20.900 * [simplify]: Simplified to (/ 1 (sqrt (hypot 1 x))) 20.900 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (* (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x)))) 1/2))))) 20.901 * [simplify]: Simplifying (/ 1/2 (sqrt (hypot 1 x))) 20.901 * * [simplify]: iters left: 4 (6 enodes) 20.907 * * [simplify]: iters left: 3 (20 enodes) 20.913 * * [simplify]: iters left: 2 (22 enodes) 20.920 * * [simplify]: Extracting #0: cost 1 inf + 0 20.920 * * [simplify]: Extracting #1: cost 4 inf + 0 20.920 * * [simplify]: Extracting #2: cost 5 inf + 1 20.920 * * [simplify]: Extracting #3: cost 8 inf + 1 20.920 * * [simplify]: Extracting #4: cost 6 inf + 3 20.920 * * [simplify]: Extracting #5: cost 1 inf + 449 20.921 * * [simplify]: Extracting #6: cost 0 inf + 587 20.921 * [simplify]: Simplified to (/ 1/2 (sqrt (hypot 1 x))) 20.921 * [simplify]: Simplified (2 2 2 1 1 2) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (* (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x)))) 1/2))))) 20.921 * * * * [progress]: [ 157 / 179 ] simplifiying candidate # 20.922 * [simplify]: Simplifying (/ 1 1) 20.922 * * [simplify]: iters left: 2 (2 enodes) 20.923 * * [simplify]: iters left: 1 (6 enodes) 20.925 * * [simplify]: Extracting #0: cost 1 inf + 0 20.925 * * [simplify]: Extracting #1: cost 0 inf + 1 20.925 * [simplify]: Simplified to 1 20.925 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (* 1 (/ 1/2 (hypot 1 x))) 1/2))))) 20.926 * [simplify]: Simplifying (/ 1/2 (hypot 1 x)) 20.926 * * [simplify]: iters left: 3 (5 enodes) 20.929 * * [simplify]: iters left: 2 (17 enodes) 20.935 * * [simplify]: iters left: 1 (19 enodes) 20.941 * * [simplify]: Extracting #0: cost 1 inf + 0 20.941 * * [simplify]: Extracting #1: cost 4 inf + 0 20.941 * * [simplify]: Extracting #2: cost 6 inf + 1 20.941 * * [simplify]: Extracting #3: cost 0 inf + 313 20.941 * [simplify]: Simplified to (/ 1/2 (hypot 1 x)) 20.941 * [simplify]: Simplified (2 2 2 1 1 2) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (* 1 (/ 1/2 (hypot 1 x))) 1/2))))) 20.942 * * * * [progress]: [ 158 / 179 ] simplifiying candidate # 20.942 * * * * [progress]: [ 159 / 179 ] simplifiying candidate # 20.942 * * * * [progress]: [ 160 / 179 ] simplifiying candidate # 20.942 * * * * [progress]: [ 161 / 179 ] simplifiying candidate # 20.942 * [simplify]: Simplifying (cbrt (hypot 1 x)) 20.942 * * [simplify]: iters left: 2 (4 enodes) 20.944 * * [simplify]: iters left: 1 (14 enodes) 20.949 * * [simplify]: Extracting #0: cost 1 inf + 0 20.949 * * [simplify]: Extracting #1: cost 3 inf + 0 20.949 * * [simplify]: Extracting #2: cost 6 inf + 0 20.949 * * [simplify]: Extracting #3: cost 2 inf + 116 20.949 * * [simplify]: Extracting #4: cost 1 inf + 253 20.949 * * [simplify]: Extracting #5: cost 0 inf + 390 20.949 * [simplify]: Simplified to (cbrt (hypot 1 x)) 20.949 * [simplify]: Simplified (2 2 2 1 1 2) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))) 1/2))))) 20.950 * * * * [progress]: [ 162 / 179 ] simplifiying candidate # 20.950 * [simplify]: Simplifying (sqrt (hypot 1 x)) 20.950 * * [simplify]: iters left: 2 (4 enodes) 20.952 * * [simplify]: iters left: 1 (14 enodes) 20.956 * * [simplify]: Extracting #0: cost 1 inf + 0 20.956 * * [simplify]: Extracting #1: cost 3 inf + 0 20.956 * * [simplify]: Extracting #2: cost 6 inf + 0 20.956 * * [simplify]: Extracting #3: cost 2 inf + 116 20.957 * * [simplify]: Extracting #4: cost 1 inf + 213 20.957 * * [simplify]: Extracting #5: cost 0 inf + 310 20.957 * [simplify]: Simplified to (sqrt (hypot 1 x)) 20.957 * [simplify]: Simplified (2 2 2 1 1 2) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) 1/2))))) 20.957 * * * * [progress]: [ 163 / 179 ] simplifiying candidate # 20.957 * [simplify]: Simplifying (hypot 1 x) 20.957 * * [simplify]: iters left: 1 (3 enodes) 20.959 * * [simplify]: Extracting #0: cost 1 inf + 0 20.959 * * [simplify]: Extracting #1: cost 4 inf + 0 20.959 * * [simplify]: Extracting #2: cost 2 inf + 2 20.960 * * [simplify]: Extracting #3: cost 0 inf + 116 20.960 * [simplify]: Simplified to (hypot 1 x) 20.960 * [simplify]: Simplified (2 2 2 1 1 2) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (/ (/ 1/2 1) (hypot 1 x)) 1/2))))) 20.960 * * * * [progress]: [ 164 / 179 ] simplifiying candidate # 20.960 * [simplify]: Simplifying (* (cbrt 1/2) (cbrt 1/2)) 20.960 * * [simplify]: iters left: 3 (3 enodes) 20.962 * * [simplify]: iters left: 2 (9 enodes) 20.965 * * [simplify]: Extracting #0: cost 1 inf + 0 20.965 * * [simplify]: Extracting #1: cost 3 inf + 0 20.965 * * [simplify]: Extracting #2: cost 5 inf + 0 20.965 * * [simplify]: Extracting #3: cost 4 inf + 1 20.966 * * [simplify]: Extracting #4: cost 0 inf + 405 20.966 * [simplify]: Simplified to (* (cbrt 1/2) (cbrt 1/2)) 20.966 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (hypot 1 x) (cbrt 1/2))) 1/2))))) 20.966 * * * * [progress]: [ 165 / 179 ] simplifiying candidate # 20.966 * [simplify]: Simplifying (sqrt 1/2) 20.966 * * [simplify]: iters left: 1 (2 enodes) 20.968 * * [simplify]: Extracting #0: cost 1 inf + 0 20.968 * * [simplify]: Extracting #1: cost 3 inf + 0 20.968 * * [simplify]: Extracting #2: cost 2 inf + 1 20.968 * * [simplify]: Extracting #3: cost 0 inf + 83 20.968 * [simplify]: Simplified to (sqrt 1/2) 20.968 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (/ (sqrt 1/2) (/ (hypot 1 x) (sqrt 1/2))) 1/2))))) 20.968 * * * * [progress]: [ 166 / 179 ] simplifiying candidate # 20.968 * * * * [progress]: [ 167 / 179 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x)))) 1/2)))))> 20.968 * * * * [progress]: [ 168 / 179 ] simplifiying candidate # 20.969 * [simplify]: Simplifying (- (+ (* 3/16 (pow x 4)) 1) (* 1/4 (pow x 2))) 20.969 * * [simplify]: iters left: 6 (12 enodes) 20.977 * * [simplify]: iters left: 5 (53 enodes) 20.996 * * [simplify]: iters left: 4 (83 enodes) 21.018 * * [simplify]: iters left: 3 (116 enodes) 21.035 * * [simplify]: iters left: 2 (152 enodes) 21.054 * * [simplify]: iters left: 1 (167 enodes) 21.076 * * [simplify]: Extracting #0: cost 1 inf + 0 21.076 * * [simplify]: Extracting #1: cost 26 inf + 0 21.076 * * [simplify]: Extracting #2: cost 41 inf + 127 21.077 * * [simplify]: Extracting #3: cost 15 inf + 2339 21.079 * * [simplify]: Extracting #4: cost 0 inf + 4593 21.080 * [simplify]: Simplified to (fma (* x x) -1/4 (fma 3/16 (* (* x x) (* x x)) 1)) 21.080 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (- (* 1 1) (fma (* x x) -1/4 (fma 3/16 (* (* x x) (* x x)) 1))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 21.080 * * * * [progress]: [ 169 / 179 ] simplifiying candidate # 21.081 * [simplify]: Simplifying (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) 21.081 * * [simplify]: iters left: 6 (12 enodes) 21.085 * * [simplify]: iters left: 5 (58 enodes) 21.097 * * [simplify]: iters left: 4 (111 enodes) 21.136 * * [simplify]: iters left: 3 (183 enodes) 21.190 * * [simplify]: iters left: 2 (291 enodes) 21.246 * * [simplify]: Extracting #0: cost 1 inf + 0 21.247 * * [simplify]: Extracting #1: cost 19 inf + 0 21.247 * * [simplify]: Extracting #2: cost 65 inf + 3 21.247 * * [simplify]: Extracting #3: cost 112 inf + 541 21.248 * * [simplify]: Extracting #4: cost 72 inf + 6696 21.251 * * [simplify]: Extracting #5: cost 28 inf + 23187 21.255 * * [simplify]: Extracting #6: cost 2 inf + 33919 21.259 * * [simplify]: Extracting #7: cost 0 inf + 34805 21.263 * [simplify]: Simplified to (- (+ 1/2 (/ 1/2 x)) (/ 1/4 (* x (* x x)))) 21.263 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (- (* 1 1) (- (+ 1/2 (/ 1/2 x)) (/ 1/4 (* x (* x x))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 21.263 * * * * [progress]: [ 170 / 179 ] simplifiying candidate # 21.263 * [simplify]: Simplifying (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) 21.263 * * [simplify]: iters left: 6 (12 enodes) 21.268 * * [simplify]: iters left: 5 (58 enodes) 21.290 * * [simplify]: iters left: 4 (109 enodes) 21.327 * * [simplify]: iters left: 3 (172 enodes) 21.382 * * [simplify]: iters left: 2 (270 enodes) 21.442 * * [simplify]: iters left: 1 (499 enodes) 21.689 * * [simplify]: Extracting #0: cost 1 inf + 0 21.689 * * [simplify]: Extracting #1: cost 35 inf + 0 21.690 * * [simplify]: Extracting #2: cost 194 inf + 3 21.691 * * [simplify]: Extracting #3: cost 274 inf + 832 21.694 * * [simplify]: Extracting #4: cost 221 inf + 8246 21.700 * * [simplify]: Extracting #5: cost 126 inf + 51172 21.711 * * [simplify]: Extracting #6: cost 9 inf + 120729 21.736 * * [simplify]: Extracting #7: cost 0 inf + 124444 21.749 * [simplify]: Simplified to (- (- 1/2 (/ (/ -1/4 x) (* x x))) (/ 1/2 x)) 21.749 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (- (* 1 1) (- (- 1/2 (/ (/ -1/4 x) (* x x))) (/ 1/2 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 21.749 * * * * [progress]: [ 171 / 179 ] simplifiying candidate # 21.749 * [simplify]: Simplifying (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))) 21.749 * * [simplify]: iters left: 6 (15 enodes) 21.756 * * [simplify]: iters left: 5 (66 enodes) 21.770 * * [simplify]: iters left: 4 (120 enodes) 21.814 * * [simplify]: iters left: 3 (211 enodes) 21.876 * * [simplify]: iters left: 2 (372 enodes) 22.014 * * [simplify]: Extracting #0: cost 1 inf + 0 22.014 * * [simplify]: Extracting #1: cost 35 inf + 0 22.014 * * [simplify]: Extracting #2: cost 123 inf + 5 22.015 * * [simplify]: Extracting #3: cost 106 inf + 3837 22.025 * * [simplify]: Extracting #4: cost 22 inf + 21345 22.037 * * [simplify]: Extracting #5: cost 1 inf + 27276 22.048 * * [simplify]: Extracting #6: cost 0 inf + 27539 22.059 * [simplify]: Simplified to (fma (* x x) (fma 5/32 (* (* x x) (* x x)) 1/4) (* (* (* x x) (* x x)) -3/16)) 22.059 * [simplify]: Simplified (2 1) to (λ (x) (/ (fma (* x x) (fma 5/32 (* (* x x) (* x x)) 1/4) (* (* (* x x) (* x x)) -3/16)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 22.059 * * * * [progress]: [ 172 / 179 ] simplifiying candidate # 22.060 * [simplify]: Simplifying (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) 22.060 * * [simplify]: iters left: 6 (12 enodes) 22.069 * * [simplify]: iters left: 5 (58 enodes) 22.092 * * [simplify]: iters left: 4 (109 enodes) 22.121 * * [simplify]: iters left: 3 (172 enodes) 22.150 * * [simplify]: iters left: 2 (270 enodes) 22.201 * * [simplify]: iters left: 1 (499 enodes) 22.441 * * [simplify]: Extracting #0: cost 1 inf + 0 22.441 * * [simplify]: Extracting #1: cost 35 inf + 0 22.442 * * [simplify]: Extracting #2: cost 194 inf + 3 22.443 * * [simplify]: Extracting #3: cost 274 inf + 832 22.446 * * [simplify]: Extracting #4: cost 221 inf + 8246 22.452 * * [simplify]: Extracting #5: cost 126 inf + 51172 22.463 * * [simplify]: Extracting #6: cost 9 inf + 120729 22.476 * * [simplify]: Extracting #7: cost 0 inf + 124444 22.492 * [simplify]: Simplified to (- (- 1/2 (/ (/ -1/4 x) (* x x))) (/ 1/2 x)) 22.492 * [simplify]: Simplified (2 1) to (λ (x) (/ (- (- 1/2 (/ (/ -1/4 x) (* x x))) (/ 1/2 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 22.492 * * * * [progress]: [ 173 / 179 ] simplifiying candidate # 22.493 * [simplify]: Simplifying (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) 22.493 * * [simplify]: iters left: 6 (12 enodes) 22.498 * * [simplify]: iters left: 5 (58 enodes) 22.509 * * [simplify]: iters left: 4 (111 enodes) 22.528 * * [simplify]: iters left: 3 (183 enodes) 22.576 * * [simplify]: iters left: 2 (291 enodes) 22.668 * * [simplify]: Extracting #0: cost 1 inf + 0 22.668 * * [simplify]: Extracting #1: cost 19 inf + 0 22.668 * * [simplify]: Extracting #2: cost 65 inf + 3 22.669 * * [simplify]: Extracting #3: cost 112 inf + 541 22.670 * * [simplify]: Extracting #4: cost 72 inf + 6696 22.673 * * [simplify]: Extracting #5: cost 28 inf + 23187 22.677 * * [simplify]: Extracting #6: cost 2 inf + 33919 22.681 * * [simplify]: Extracting #7: cost 0 inf + 34805 22.684 * [simplify]: Simplified to (- (+ 1/2 (/ 1/2 x)) (/ 1/4 (* x (* x x)))) 22.685 * [simplify]: Simplified (2 1) to (λ (x) (/ (- (+ 1/2 (/ 1/2 x)) (/ 1/4 (* x (* x x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 22.685 * * * * [progress]: [ 174 / 179 ] simplifiying candidate # 22.685 * [simplify]: Simplifying (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) 22.685 * * [simplify]: iters left: 6 (15 enodes) 22.691 * * [simplify]: iters left: 5 (66 enodes) 22.717 * * [simplify]: iters left: 4 (120 enodes) 22.761 * * [simplify]: iters left: 3 (211 enodes) 22.819 * * [simplify]: iters left: 2 (372 enodes) 22.974 * * [simplify]: Extracting #0: cost 1 inf + 0 22.974 * * [simplify]: Extracting #1: cost 35 inf + 0 22.975 * * [simplify]: Extracting #2: cost 123 inf + 5 22.978 * * [simplify]: Extracting #3: cost 106 inf + 3837 22.986 * * [simplify]: Extracting #4: cost 24 inf + 21133 22.997 * * [simplify]: Extracting #5: cost 2 inf + 27065 23.009 * * [simplify]: Extracting #6: cost 0 inf + 27540 23.020 * [simplify]: Simplified to (fma (* x x) (fma 69/1024 (* (* x x) (* x x)) 1/8) (* (* (* x x) (* x x)) -11/128)) 23.020 * [simplify]: Simplified (2) to (λ (x) (fma (* x x) (fma 69/1024 (* (* x x) (* x x)) 1/8) (* (* (* x x) (* x x)) -11/128))) 23.020 * * * * [progress]: [ 175 / 179 ] simplifiying candidate # 23.021 * [simplify]: Simplifying (- (+ (* 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)))))) 23.021 * * [simplify]: iters left: 6 (40 enodes) 23.043 * * [simplify]: iters left: 5 (205 enodes) 23.099 * * [simplify]: iters left: 4 (489 enodes) 23.270 * * [simplify]: Extracting #0: cost 1 inf + 0 23.270 * * [simplify]: Extracting #1: cost 59 inf + 0 23.271 * * [simplify]: Extracting #2: cost 219 inf + 1 23.277 * * [simplify]: Extracting #3: cost 306 inf + 5208 23.287 * * [simplify]: Extracting #4: cost 234 inf + 42161 23.314 * * [simplify]: Extracting #5: cost 95 inf + 93055 23.384 * * [simplify]: Extracting #6: cost 22 inf + 122864 23.432 * * [simplify]: Extracting #7: cost 0 inf + 131448 23.486 * [simplify]: Simplified to (+ (+ (/ 1/64 (* (* (* (sqrt 1/2) (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2)))) 1/2) (* x x))) (fma (/ (/ 2 (* (+ 1 (sqrt 1/2)) (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2))))) (* x x)) 1/32 (/ 1/8 (* (* x x) (* (sqrt 1/2) (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2)))))))) (- (- (/ 1/2 (+ 1 (sqrt 1/2))) (/ (/ 1/8 x) (* (sqrt 1/2) (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2)))))) (/ 1/2 (fma (sqrt 1/2) x x)))) 23.486 * [simplify]: Simplified (2) to (λ (x) (+ (+ (/ 1/64 (* (* (* (sqrt 1/2) (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2)))) 1/2) (* x x))) (fma (/ (/ 2 (* (+ 1 (sqrt 1/2)) (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2))))) (* x x)) 1/32 (/ 1/8 (* (* x x) (* (sqrt 1/2) (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2)))))))) (- (- (/ 1/2 (+ 1 (sqrt 1/2))) (/ (/ 1/8 x) (* (sqrt 1/2) (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2)))))) (/ 1/2 (fma (sqrt 1/2) x x))))) 23.486 * * * * [progress]: [ 176 / 179 ] simplifiying candidate # 23.486 * [simplify]: Simplifying (+ (* 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)))))))) 23.486 * * [simplify]: iters left: 6 (40 enodes) 23.508 * * [simplify]: iters left: 5 (207 enodes) 23.578 * * [simplify]: iters left: 4 (494 enodes) 23.827 * * [simplify]: Extracting #0: cost 1 inf + 0 23.827 * * [simplify]: Extracting #1: cost 43 inf + 0 23.828 * * [simplify]: Extracting #2: cost 190 inf + 2 23.833 * * [simplify]: Extracting #3: cost 281 inf + 7006 23.855 * * [simplify]: Extracting #4: cost 214 inf + 44934 23.909 * * [simplify]: Extracting #5: cost 88 inf + 90342 23.958 * * [simplify]: Extracting #6: cost 29 inf + 110577 24.003 * * [simplify]: Extracting #7: cost 0 inf + 121234 24.053 * * [simplify]: Extracting #8: cost 0 inf + 121090 24.098 * [simplify]: Simplified to (+ (+ (/ (/ 1/8 x) (* (sqrt 1/2) (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2))))) (+ (+ (/ 1/64 (* (* 1/2 (sqrt 1/2)) (* (fma (sqrt 1/2) x x) (fma (sqrt 1/2) x x)))) (/ 1/2 (+ 1 (sqrt 1/2)))) (+ (/ 1/2 (fma (sqrt 1/2) x x)) (/ 1/32 (* (* (fma (sqrt 1/2) x x) (fma (sqrt 1/2) x x)) (+ (* 1/2 (sqrt 1/2)) 1/2)))))) (/ 1/8 (* (* (fma (sqrt 1/2) x x) (fma (sqrt 1/2) x x)) (sqrt 1/2)))) 24.098 * [simplify]: Simplified (2) to (λ (x) (+ (+ (/ (/ 1/8 x) (* (sqrt 1/2) (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2))))) (+ (+ (/ 1/64 (* (* 1/2 (sqrt 1/2)) (* (fma (sqrt 1/2) x x) (fma (sqrt 1/2) x x)))) (/ 1/2 (+ 1 (sqrt 1/2)))) (+ (/ 1/2 (fma (sqrt 1/2) x x)) (/ 1/32 (* (* (fma (sqrt 1/2) x x) (fma (sqrt 1/2) x x)) (+ (* 1/2 (sqrt 1/2)) 1/2)))))) (/ 1/8 (* (* (fma (sqrt 1/2) x x) (fma (sqrt 1/2) x x)) (sqrt 1/2))))) 24.098 * * * * [progress]: [ 177 / 179 ] simplifiying candidate # 24.099 * [simplify]: Simplifying (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) 24.099 * * [simplify]: iters left: 6 (12 enodes) 24.108 * * [simplify]: iters left: 5 (52 enodes) 24.117 * * [simplify]: iters left: 4 (84 enodes) 24.131 * * [simplify]: iters left: 3 (120 enodes) 24.154 * * [simplify]: iters left: 2 (156 enodes) 24.179 * * [simplify]: iters left: 1 (171 enodes) 24.209 * * [simplify]: Extracting #0: cost 1 inf + 0 24.209 * * [simplify]: Extracting #1: cost 26 inf + 0 24.210 * * [simplify]: Extracting #2: cost 42 inf + 46 24.211 * * [simplify]: Extracting #3: cost 11 inf + 3086 24.214 * * [simplify]: Extracting #4: cost 0 inf + 4633 24.218 * * [simplify]: Extracting #5: cost 0 inf + 4593 24.221 * [simplify]: Simplified to (fma (* x x) -1/4 (fma 3/16 (* (* x x) (* x x)) 1/2)) 24.221 * [simplify]: Simplified (2 2 2 1 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (fma (* x x) -1/4 (fma 3/16 (* (* x x) (* x x)) 1/2)) 1/2))))) 24.221 * * * * [progress]: [ 178 / 179 ] simplifiying candidate # 24.222 * [simplify]: Simplifying (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) 24.222 * * [simplify]: iters left: 6 (17 enodes) 24.232 * * [simplify]: iters left: 5 (80 enodes) 24.248 * * [simplify]: iters left: 4 (151 enodes) 24.294 * * [simplify]: iters left: 3 (258 enodes) 24.353 * * [simplify]: iters left: 2 (438 enodes) 24.486 * * [simplify]: Extracting #0: cost 1 inf + 0 24.486 * * [simplify]: Extracting #1: cost 23 inf + 0 24.486 * * [simplify]: Extracting #2: cost 101 inf + 4 24.488 * * [simplify]: Extracting #3: cost 196 inf + 175 24.492 * * [simplify]: Extracting #4: cost 136 inf + 17518 24.509 * * [simplify]: Extracting #5: cost 42 inf + 54368 24.523 * * [simplify]: Extracting #6: cost 2 inf + 70489 24.530 * * [simplify]: Extracting #7: cost 0 inf + 71257 24.537 * [simplify]: Simplified to (- (/ 1/2 x) (- (/ (/ 1/4 x) (* x x)) (/ 3/16 (pow x 5)))) 24.537 * [simplify]: Simplified (2 2 2 1 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (- (/ 1/2 x) (- (/ (/ 1/4 x) (* x x)) (/ 3/16 (pow x 5)))) 1/2))))) 24.537 * * * * [progress]: [ 179 / 179 ] simplifiying candidate # 24.537 * [simplify]: Simplifying (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) 24.538 * * [simplify]: iters left: 6 (17 enodes) 24.545 * * [simplify]: iters left: 5 (81 enodes) 24.569 * * [simplify]: iters left: 4 (143 enodes) 24.607 * * [simplify]: iters left: 3 (253 enodes) 24.667 * * [simplify]: iters left: 2 (464 enodes) 24.800 * * [simplify]: Extracting #0: cost 1 inf + 0 24.800 * * [simplify]: Extracting #1: cost 31 inf + 0 24.800 * * [simplify]: Extracting #2: cost 110 inf + 5 24.801 * * [simplify]: Extracting #3: cost 198 inf + 173 24.802 * * [simplify]: Extracting #4: cost 164 inf + 7358 24.807 * * [simplify]: Extracting #5: cost 78 inf + 36109 24.814 * * [simplify]: Extracting #6: cost 5 inf + 70497 24.828 * * [simplify]: Extracting #7: cost 0 inf + 72524 24.841 * [simplify]: Simplified to (- (/ (/ 1/4 x) (* x x)) (+ (/ 3/16 (pow x 5)) (/ 1/2 x))) 24.841 * [simplify]: Simplified (2 2 2 1 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (- (/ (/ 1/4 x) (* x x)) (+ (/ 3/16 (pow x 5)) (/ 1/2 x))) 1/2))))) 24.841 * * * [progress]: adding candidates to table 26.762 * * [progress]: iteration 3 / 4 26.762 * * * [progress]: picking best candidate 26.792 * * * * [pick]: Picked # 26.792 * * * [progress]: localizing error 26.840 * * * [progress]: generating rewritten candidates 26.840 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 26.907 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 26.920 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 27.023 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2 1 1) 27.035 * * * [progress]: generating series expansions 27.035 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 27.035 * [backup-simplify]: Simplify (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 27.035 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in (x) around 0 27.035 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 27.035 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 27.035 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 27.035 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 27.035 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 27.035 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 27.035 * [taylor]: Taking taylor expansion of 1/2 in x 27.035 * [backup-simplify]: Simplify 1/2 into 1/2 27.035 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 27.035 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 27.035 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 27.035 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 27.035 * [taylor]: Taking taylor expansion of (* 1 1) in x 27.035 * [taylor]: Taking taylor expansion of 1 in x 27.035 * [backup-simplify]: Simplify 1 into 1 27.035 * [taylor]: Taking taylor expansion of 1 in x 27.035 * [backup-simplify]: Simplify 1 into 1 27.035 * [taylor]: Taking taylor expansion of (* x x) in x 27.035 * [taylor]: Taking taylor expansion of x in x 27.035 * [backup-simplify]: Simplify 0 into 0 27.035 * [backup-simplify]: Simplify 1 into 1 27.035 * [taylor]: Taking taylor expansion of x in x 27.035 * [backup-simplify]: Simplify 0 into 0 27.035 * [backup-simplify]: Simplify 1 into 1 27.036 * [backup-simplify]: Simplify (* 1 1) into 1 27.036 * [backup-simplify]: Simplify (* 0 0) into 0 27.036 * [backup-simplify]: Simplify (+ 1 0) into 1 27.037 * [backup-simplify]: Simplify (sqrt 1) into 1 27.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.037 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 27.038 * [backup-simplify]: Simplify (+ 0 0) into 0 27.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.038 * [backup-simplify]: Simplify (/ 1 1) into 1 27.038 * [taylor]: Taking taylor expansion of 1/2 in x 27.038 * [backup-simplify]: Simplify 1/2 into 1/2 27.039 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 27.039 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 27.039 * [backup-simplify]: Simplify (sqrt 1) into 1 27.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.040 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 27.040 * [backup-simplify]: Simplify (+ 0 0) into 0 27.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.041 * [taylor]: Taking taylor expansion of 1 in x 27.041 * [backup-simplify]: Simplify 1 into 1 27.041 * [backup-simplify]: Simplify (+ 1 1) into 2 27.041 * [backup-simplify]: Simplify (/ 1 2) into 1/2 27.041 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 27.042 * [backup-simplify]: Simplify (+ 0 0) into 0 27.042 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 27.043 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 27.043 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 27.043 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 27.043 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 27.043 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 27.043 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 27.043 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 27.043 * [taylor]: Taking taylor expansion of 1/2 in x 27.043 * [backup-simplify]: Simplify 1/2 into 1/2 27.043 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 27.043 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 27.043 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 27.043 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 27.043 * [taylor]: Taking taylor expansion of (* 1 1) in x 27.043 * [taylor]: Taking taylor expansion of 1 in x 27.043 * [backup-simplify]: Simplify 1 into 1 27.043 * [taylor]: Taking taylor expansion of 1 in x 27.043 * [backup-simplify]: Simplify 1 into 1 27.043 * [taylor]: Taking taylor expansion of (* x x) in x 27.043 * [taylor]: Taking taylor expansion of x in x 27.043 * [backup-simplify]: Simplify 0 into 0 27.043 * [backup-simplify]: Simplify 1 into 1 27.043 * [taylor]: Taking taylor expansion of x in x 27.043 * [backup-simplify]: Simplify 0 into 0 27.043 * [backup-simplify]: Simplify 1 into 1 27.043 * [backup-simplify]: Simplify (* 1 1) into 1 27.044 * [backup-simplify]: Simplify (* 0 0) into 0 27.044 * [backup-simplify]: Simplify (+ 1 0) into 1 27.044 * [backup-simplify]: Simplify (sqrt 1) into 1 27.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.045 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 27.045 * [backup-simplify]: Simplify (+ 0 0) into 0 27.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.046 * [backup-simplify]: Simplify (/ 1 1) into 1 27.046 * [taylor]: Taking taylor expansion of 1/2 in x 27.046 * [backup-simplify]: Simplify 1/2 into 1/2 27.046 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 27.046 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 27.046 * [backup-simplify]: Simplify (sqrt 1) into 1 27.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.047 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 27.048 * [backup-simplify]: Simplify (+ 0 0) into 0 27.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.048 * [taylor]: Taking taylor expansion of 1 in x 27.048 * [backup-simplify]: Simplify 1 into 1 27.048 * [backup-simplify]: Simplify (+ 1 1) into 2 27.048 * [backup-simplify]: Simplify (/ 1 2) into 1/2 27.049 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 27.049 * [backup-simplify]: Simplify (+ 0 0) into 0 27.049 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 27.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 27.050 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 27.050 * [backup-simplify]: Simplify 0 into 0 27.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 27.051 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 27.051 * [backup-simplify]: Simplify (+ 0 1) into 1 27.052 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 27.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 27.053 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 27.054 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 27.054 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 27.055 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 27.055 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ -1/8 2)) (* 0 (/ 0 2)))) into 1/32 27.057 * [backup-simplify]: Simplify (/ (- 1/32 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ 1/64 (sqrt 1/2)) 27.057 * [backup-simplify]: Simplify (/ 1/64 (sqrt 1/2)) into (/ 1/64 (sqrt 1/2)) 27.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.059 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 27.059 * [backup-simplify]: Simplify (+ 0 0) into 0 27.059 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 27.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 27.061 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 27.061 * [backup-simplify]: Simplify (+ 0 0) into 0 27.062 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 27.062 * [backup-simplify]: Simplify (+ 0 0) into 0 27.063 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/8 2)) (* 1/32 (/ 0 2)))) into 0 27.064 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/64 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 27.064 * [backup-simplify]: Simplify 0 into 0 27.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 27.065 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 27.065 * [backup-simplify]: Simplify (+ 0 0) into 0 27.066 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 27.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 27.069 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 27.069 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 27.071 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 27.071 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 27.073 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 11/128 2)) (* 0 (/ 0 2)) (* 1/32 (/ -1/8 2)) (* 0 (/ 0 2)))) into -5/256 27.080 * [backup-simplify]: Simplify (/ (- -5/256 (pow (/ 1/64 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* -1/2 (/ (+ (* 1/4096 (/ 1 (pow (sqrt 1/2) 2))) 5/256) (sqrt 1/2))) 27.096 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1/4096 (/ 1 (pow (sqrt 1/2) 2))) 5/256) (sqrt 1/2))) into (* -1/2 (/ (+ (* 1/4096 (/ 1 (pow (sqrt 1/2) 2))) 5/256) (sqrt 1/2))) 27.105 * [backup-simplify]: Simplify (+ (* (* -1/2 (/ (+ (* 1/4096 (/ 1 (pow (sqrt 1/2) 2))) 5/256) (sqrt 1/2))) (pow x 4)) (+ (* (/ 1/64 (sqrt 1/2)) (pow x 2)) (sqrt 1/2))) into (- (+ (* 1/64 (/ (pow x 2) (sqrt 1/2))) (sqrt 1/2)) (+ (* 5/512 (/ (pow x 4) (sqrt 1/2))) (* 1/8192 (/ (pow x 4) (pow (sqrt 1/2) 3))))) 27.105 * [backup-simplify]: Simplify (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2))))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) 27.105 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in (x) around 0 27.105 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 27.105 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 27.105 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 27.105 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 27.105 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 27.105 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 27.105 * [taylor]: Taking taylor expansion of 1/2 in x 27.105 * [backup-simplify]: Simplify 1/2 into 1/2 27.105 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 27.105 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 27.105 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 27.105 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 27.105 * [taylor]: Taking taylor expansion of (* 1 1) in x 27.105 * [taylor]: Taking taylor expansion of 1 in x 27.106 * [backup-simplify]: Simplify 1 into 1 27.106 * [taylor]: Taking taylor expansion of 1 in x 27.106 * [backup-simplify]: Simplify 1 into 1 27.106 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 27.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 27.106 * [taylor]: Taking taylor expansion of x in x 27.106 * [backup-simplify]: Simplify 0 into 0 27.106 * [backup-simplify]: Simplify 1 into 1 27.106 * [backup-simplify]: Simplify (/ 1 1) into 1 27.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 27.106 * [taylor]: Taking taylor expansion of x in x 27.106 * [backup-simplify]: Simplify 0 into 0 27.106 * [backup-simplify]: Simplify 1 into 1 27.107 * [backup-simplify]: Simplify (/ 1 1) into 1 27.107 * [backup-simplify]: Simplify (* 1 1) into 1 27.108 * [backup-simplify]: Simplify (+ 0 1) into 1 27.108 * [backup-simplify]: Simplify (sqrt 1) into 1 27.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.111 * [backup-simplify]: Simplify (+ 0 0) into 0 27.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.112 * [backup-simplify]: Simplify (/ 1 1) into 1 27.112 * [taylor]: Taking taylor expansion of 1/2 in x 27.112 * [backup-simplify]: Simplify 1/2 into 1/2 27.112 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 27.112 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 27.113 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 27.113 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 27.115 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 27.115 * [taylor]: Taking taylor expansion of 1 in x 27.115 * [backup-simplify]: Simplify 1 into 1 27.116 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 27.117 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1/2) 1)) into (/ 1 (+ (sqrt 1/2) 1)) 27.120 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt 1/2) 1))) into (sqrt (/ 1 (+ (sqrt 1/2) 1))) 27.121 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 27.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt 1/2) 1)) (/ (* 1/4 (/ 1 (sqrt 1/2))) (+ (sqrt 1/2) 1))))) into (- (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) 27.142 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (* 2 (sqrt (/ 1 (+ (sqrt 1/2) 1))))) into (* -1/8 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))) 27.142 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 27.142 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 27.142 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 27.142 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 27.142 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 27.142 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 27.142 * [taylor]: Taking taylor expansion of 1/2 in x 27.142 * [backup-simplify]: Simplify 1/2 into 1/2 27.142 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 27.142 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 27.142 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 27.142 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 27.142 * [taylor]: Taking taylor expansion of (* 1 1) in x 27.142 * [taylor]: Taking taylor expansion of 1 in x 27.142 * [backup-simplify]: Simplify 1 into 1 27.142 * [taylor]: Taking taylor expansion of 1 in x 27.142 * [backup-simplify]: Simplify 1 into 1 27.142 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 27.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 27.142 * [taylor]: Taking taylor expansion of x in x 27.142 * [backup-simplify]: Simplify 0 into 0 27.142 * [backup-simplify]: Simplify 1 into 1 27.143 * [backup-simplify]: Simplify (/ 1 1) into 1 27.143 * [taylor]: Taking taylor expansion of (/ 1 x) in x 27.143 * [taylor]: Taking taylor expansion of x in x 27.143 * [backup-simplify]: Simplify 0 into 0 27.143 * [backup-simplify]: Simplify 1 into 1 27.143 * [backup-simplify]: Simplify (/ 1 1) into 1 27.144 * [backup-simplify]: Simplify (* 1 1) into 1 27.144 * [backup-simplify]: Simplify (+ 0 1) into 1 27.144 * [backup-simplify]: Simplify (sqrt 1) into 1 27.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.147 * [backup-simplify]: Simplify (+ 0 0) into 0 27.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.148 * [backup-simplify]: Simplify (/ 1 1) into 1 27.148 * [taylor]: Taking taylor expansion of 1/2 in x 27.148 * [backup-simplify]: Simplify 1/2 into 1/2 27.149 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 27.149 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 27.150 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 27.150 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 27.152 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 27.152 * [taylor]: Taking taylor expansion of 1 in x 27.152 * [backup-simplify]: Simplify 1 into 1 27.153 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 27.154 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1/2) 1)) into (/ 1 (+ (sqrt 1/2) 1)) 27.156 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt 1/2) 1))) into (sqrt (/ 1 (+ (sqrt 1/2) 1))) 27.158 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 27.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt 1/2) 1)) (/ (* 1/4 (/ 1 (sqrt 1/2))) (+ (sqrt 1/2) 1))))) into (- (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) 27.177 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (* 2 (sqrt (/ 1 (+ (sqrt 1/2) 1))))) into (* -1/8 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))) 27.179 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt 1/2) 1))) into (sqrt (/ 1 (+ (sqrt 1/2) 1))) 27.183 * [backup-simplify]: Simplify (* -1/8 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))) into (* -1/8 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))) 27.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.184 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 27.184 * [backup-simplify]: Simplify (+ 0 0) into 0 27.187 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 27.188 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 27.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt 1/2) 1)) (/ (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) 1))) (* (- (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (/ (* 1/4 (/ 1 (sqrt 1/2))) (+ (sqrt 1/2) 1))))) into (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) 27.249 * [backup-simplify]: Simplify (/ (- (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) (pow (* -1/8 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))) 2) (+)) (* 2 (sqrt (/ 1 (+ (sqrt 1/2) 1))))) into (* 1/2 (* (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 3/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) (sqrt (+ (sqrt 1/2) 1)))) 27.263 * [backup-simplify]: Simplify (* 1/2 (* (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 3/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) (sqrt (+ (sqrt 1/2) 1)))) into (* 1/2 (* (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 3/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) (sqrt (+ (sqrt 1/2) 1)))) 27.285 * [backup-simplify]: Simplify (+ (* (* 1/2 (* (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 3/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) (sqrt (+ (sqrt 1/2) 1)))) (pow (/ 1 x) 2)) (+ (* (* -1/8 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))) (/ 1 x)) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) into (- (+ (* 3/128 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 5))))) (+ (* 1/64 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) (* 1/8 (* (/ 1 (* x (sqrt 1/2))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3)))))) 27.285 * [backup-simplify]: Simplify (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2))))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) 27.285 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in (x) around 0 27.285 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 27.285 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 27.285 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 27.285 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 27.285 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 27.285 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 27.285 * [taylor]: Taking taylor expansion of 1/2 in x 27.285 * [backup-simplify]: Simplify 1/2 into 1/2 27.285 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 27.285 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 27.285 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 27.285 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 27.285 * [taylor]: Taking taylor expansion of (* 1 1) in x 27.285 * [taylor]: Taking taylor expansion of 1 in x 27.285 * [backup-simplify]: Simplify 1 into 1 27.285 * [taylor]: Taking taylor expansion of 1 in x 27.285 * [backup-simplify]: Simplify 1 into 1 27.285 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 27.285 * [taylor]: Taking taylor expansion of (/ -1 x) in x 27.285 * [taylor]: Taking taylor expansion of -1 in x 27.285 * [backup-simplify]: Simplify -1 into -1 27.285 * [taylor]: Taking taylor expansion of x in x 27.285 * [backup-simplify]: Simplify 0 into 0 27.285 * [backup-simplify]: Simplify 1 into 1 27.286 * [backup-simplify]: Simplify (/ -1 1) into -1 27.286 * [taylor]: Taking taylor expansion of (/ -1 x) in x 27.286 * [taylor]: Taking taylor expansion of -1 in x 27.286 * [backup-simplify]: Simplify -1 into -1 27.286 * [taylor]: Taking taylor expansion of x in x 27.286 * [backup-simplify]: Simplify 0 into 0 27.286 * [backup-simplify]: Simplify 1 into 1 27.286 * [backup-simplify]: Simplify (/ -1 1) into -1 27.286 * [backup-simplify]: Simplify (* -1 -1) into 1 27.287 * [backup-simplify]: Simplify (+ 0 1) into 1 27.287 * [backup-simplify]: Simplify (sqrt 1) into 1 27.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 27.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 27.288 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 27.288 * [backup-simplify]: Simplify (+ 0 0) into 0 27.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.289 * [backup-simplify]: Simplify (/ 1 1) into 1 27.289 * [taylor]: Taking taylor expansion of 1/2 in x 27.289 * [backup-simplify]: Simplify 1/2 into 1/2 27.289 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 27.290 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 27.290 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 27.290 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 27.291 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 27.291 * [taylor]: Taking taylor expansion of 1 in x 27.291 * [backup-simplify]: Simplify 1 into 1 27.292 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 27.292 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1/2) 1)) into (/ 1 (+ (sqrt 1/2) 1)) 27.294 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt 1/2) 1))) into (sqrt (/ 1 (+ (sqrt 1/2) 1))) 27.295 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 27.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt 1/2) 1)) (/ (* 1/4 (/ 1 (sqrt 1/2))) (+ (sqrt 1/2) 1))))) into (- (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) 27.310 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (* 2 (sqrt (/ 1 (+ (sqrt 1/2) 1))))) into (* -1/8 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))) 27.310 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 27.310 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 27.310 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 27.310 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 27.310 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 27.310 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 27.310 * [taylor]: Taking taylor expansion of 1/2 in x 27.310 * [backup-simplify]: Simplify 1/2 into 1/2 27.310 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 27.310 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 27.310 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 27.310 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 27.310 * [taylor]: Taking taylor expansion of (* 1 1) in x 27.310 * [taylor]: Taking taylor expansion of 1 in x 27.311 * [backup-simplify]: Simplify 1 into 1 27.311 * [taylor]: Taking taylor expansion of 1 in x 27.311 * [backup-simplify]: Simplify 1 into 1 27.311 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 27.311 * [taylor]: Taking taylor expansion of (/ -1 x) in x 27.311 * [taylor]: Taking taylor expansion of -1 in x 27.311 * [backup-simplify]: Simplify -1 into -1 27.311 * [taylor]: Taking taylor expansion of x in x 27.311 * [backup-simplify]: Simplify 0 into 0 27.311 * [backup-simplify]: Simplify 1 into 1 27.311 * [backup-simplify]: Simplify (/ -1 1) into -1 27.311 * [taylor]: Taking taylor expansion of (/ -1 x) in x 27.311 * [taylor]: Taking taylor expansion of -1 in x 27.311 * [backup-simplify]: Simplify -1 into -1 27.311 * [taylor]: Taking taylor expansion of x in x 27.311 * [backup-simplify]: Simplify 0 into 0 27.311 * [backup-simplify]: Simplify 1 into 1 27.312 * [backup-simplify]: Simplify (/ -1 1) into -1 27.312 * [backup-simplify]: Simplify (* -1 -1) into 1 27.313 * [backup-simplify]: Simplify (+ 0 1) into 1 27.313 * [backup-simplify]: Simplify (sqrt 1) into 1 27.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 27.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 27.315 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 27.316 * [backup-simplify]: Simplify (+ 0 0) into 0 27.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.317 * [backup-simplify]: Simplify (/ 1 1) into 1 27.317 * [taylor]: Taking taylor expansion of 1/2 in x 27.317 * [backup-simplify]: Simplify 1/2 into 1/2 27.317 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 27.318 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 27.318 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 27.319 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 27.327 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 27.327 * [taylor]: Taking taylor expansion of 1 in x 27.327 * [backup-simplify]: Simplify 1 into 1 27.328 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 27.329 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1/2) 1)) into (/ 1 (+ (sqrt 1/2) 1)) 27.330 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt 1/2) 1))) into (sqrt (/ 1 (+ (sqrt 1/2) 1))) 27.331 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 27.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt 1/2) 1)) (/ (* 1/4 (/ 1 (sqrt 1/2))) (+ (sqrt 1/2) 1))))) into (- (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) 27.343 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (* 2 (sqrt (/ 1 (+ (sqrt 1/2) 1))))) into (* -1/8 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))) 27.344 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt 1/2) 1))) into (sqrt (/ 1 (+ (sqrt 1/2) 1))) 27.348 * [backup-simplify]: Simplify (* -1/8 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))) into (* -1/8 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))) 27.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.349 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 27.349 * [backup-simplify]: Simplify (+ 0 0) into 0 27.352 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 27.354 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 27.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt 1/2) 1)) (/ (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) 1))) (* (- (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (/ (* 1/4 (/ 1 (sqrt 1/2))) (+ (sqrt 1/2) 1))))) into (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) 27.400 * [backup-simplify]: Simplify (/ (- (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) (pow (* -1/8 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))) 2) (+)) (* 2 (sqrt (/ 1 (+ (sqrt 1/2) 1))))) into (* 1/2 (* (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 3/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) (sqrt (+ (sqrt 1/2) 1)))) 27.430 * [backup-simplify]: Simplify (* 1/2 (* (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 3/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) (sqrt (+ (sqrt 1/2) 1)))) into (* 1/2 (* (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 3/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) (sqrt (+ (sqrt 1/2) 1)))) 27.454 * [backup-simplify]: Simplify (+ (* (* 1/2 (* (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 3/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) (sqrt (+ (sqrt 1/2) 1)))) (pow (/ 1 (- x)) 2)) (+ (* (* -1/8 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))) (/ 1 (- x))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) into (+ (* 3/128 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 5))))) (+ (* 1/64 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))))) (+ (sqrt (/ 1 (+ (sqrt 1/2) 1))) (* 1/8 (* (/ 1 (* x (sqrt 1/2))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3)))))))) 27.454 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 27.454 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 x))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 27.454 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in (x) around 0 27.454 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 27.454 * [taylor]: Taking taylor expansion of 1/2 in x 27.454 * [backup-simplify]: Simplify 1/2 into 1/2 27.454 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 27.454 * [taylor]: Taking taylor expansion of 1/2 in x 27.454 * [backup-simplify]: Simplify 1/2 into 1/2 27.454 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 27.454 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 27.454 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 27.454 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 27.454 * [taylor]: Taking taylor expansion of (* 1 1) in x 27.454 * [taylor]: Taking taylor expansion of 1 in x 27.454 * [backup-simplify]: Simplify 1 into 1 27.454 * [taylor]: Taking taylor expansion of 1 in x 27.454 * [backup-simplify]: Simplify 1 into 1 27.454 * [taylor]: Taking taylor expansion of (* x x) in x 27.454 * [taylor]: Taking taylor expansion of x in x 27.454 * [backup-simplify]: Simplify 0 into 0 27.454 * [backup-simplify]: Simplify 1 into 1 27.454 * [taylor]: Taking taylor expansion of x in x 27.454 * [backup-simplify]: Simplify 0 into 0 27.454 * [backup-simplify]: Simplify 1 into 1 27.455 * [backup-simplify]: Simplify (* 1 1) into 1 27.455 * [backup-simplify]: Simplify (* 0 0) into 0 27.455 * [backup-simplify]: Simplify (+ 1 0) into 1 27.455 * [backup-simplify]: Simplify (sqrt 1) into 1 27.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.456 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 27.456 * [backup-simplify]: Simplify (+ 0 0) into 0 27.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.457 * [backup-simplify]: Simplify (/ 1 1) into 1 27.457 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 27.457 * [taylor]: Taking taylor expansion of 1/2 in x 27.457 * [backup-simplify]: Simplify 1/2 into 1/2 27.457 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 27.457 * [taylor]: Taking taylor expansion of 1/2 in x 27.457 * [backup-simplify]: Simplify 1/2 into 1/2 27.457 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 27.457 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 27.457 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 27.457 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 27.457 * [taylor]: Taking taylor expansion of (* 1 1) in x 27.457 * [taylor]: Taking taylor expansion of 1 in x 27.457 * [backup-simplify]: Simplify 1 into 1 27.457 * [taylor]: Taking taylor expansion of 1 in x 27.457 * [backup-simplify]: Simplify 1 into 1 27.457 * [taylor]: Taking taylor expansion of (* x x) in x 27.457 * [taylor]: Taking taylor expansion of x in x 27.457 * [backup-simplify]: Simplify 0 into 0 27.457 * [backup-simplify]: Simplify 1 into 1 27.457 * [taylor]: Taking taylor expansion of x in x 27.457 * [backup-simplify]: Simplify 0 into 0 27.457 * [backup-simplify]: Simplify 1 into 1 27.458 * [backup-simplify]: Simplify (* 1 1) into 1 27.458 * [backup-simplify]: Simplify (* 0 0) into 0 27.458 * [backup-simplify]: Simplify (+ 1 0) into 1 27.458 * [backup-simplify]: Simplify (sqrt 1) into 1 27.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.459 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 27.459 * [backup-simplify]: Simplify (+ 0 0) into 0 27.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.460 * [backup-simplify]: Simplify (/ 1 1) into 1 27.460 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 27.461 * [backup-simplify]: Simplify (- 1/2) into -1/2 27.461 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 27.461 * [backup-simplify]: Simplify 0 into 0 27.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.462 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 27.462 * [backup-simplify]: Simplify (- 0) into 0 27.462 * [backup-simplify]: Simplify (+ 0 0) into 0 27.462 * [backup-simplify]: Simplify 0 into 0 27.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 27.463 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 27.463 * [backup-simplify]: Simplify (+ 0 1) into 1 27.464 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 27.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 27.465 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 27.465 * [backup-simplify]: Simplify (- -1/4) into 1/4 27.466 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 27.466 * [backup-simplify]: Simplify 1/4 into 1/4 27.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.467 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 27.467 * [backup-simplify]: Simplify (+ 0 0) into 0 27.468 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 27.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 27.469 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 27.470 * [backup-simplify]: Simplify (- 0) into 0 27.470 * [backup-simplify]: Simplify (+ 0 0) into 0 27.470 * [backup-simplify]: Simplify 0 into 0 27.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 27.471 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 27.471 * [backup-simplify]: Simplify (+ 0 0) into 0 27.472 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 27.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 27.474 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 27.474 * [backup-simplify]: Simplify (- 3/16) into -3/16 27.474 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 27.474 * [backup-simplify]: Simplify -3/16 into -3/16 27.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 27.476 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 27.476 * [backup-simplify]: Simplify (+ 0 0) into 0 27.477 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 27.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 27.479 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 27.480 * [backup-simplify]: Simplify (- 0) into 0 27.480 * [backup-simplify]: Simplify (+ 0 0) into 0 27.480 * [backup-simplify]: Simplify 0 into 0 27.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 27.481 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 27.482 * [backup-simplify]: Simplify (+ 0 0) into 0 27.483 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 27.484 * [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 27.485 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 27.486 * [backup-simplify]: Simplify (- -5/32) into 5/32 27.486 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 27.486 * [backup-simplify]: Simplify 5/32 into 5/32 27.486 * [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))) 27.487 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 27.487 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0 27.487 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 27.487 * [taylor]: Taking taylor expansion of 1/2 in x 27.487 * [backup-simplify]: Simplify 1/2 into 1/2 27.487 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 27.487 * [taylor]: Taking taylor expansion of 1/2 in x 27.487 * [backup-simplify]: Simplify 1/2 into 1/2 27.487 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 27.487 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 27.487 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 27.487 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 27.487 * [taylor]: Taking taylor expansion of (* 1 1) in x 27.487 * [taylor]: Taking taylor expansion of 1 in x 27.487 * [backup-simplify]: Simplify 1 into 1 27.487 * [taylor]: Taking taylor expansion of 1 in x 27.487 * [backup-simplify]: Simplify 1 into 1 27.487 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 27.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x 27.487 * [taylor]: Taking taylor expansion of x in x 27.487 * [backup-simplify]: Simplify 0 into 0 27.487 * [backup-simplify]: Simplify 1 into 1 27.487 * [backup-simplify]: Simplify (/ 1 1) into 1 27.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x 27.487 * [taylor]: Taking taylor expansion of x in x 27.487 * [backup-simplify]: Simplify 0 into 0 27.487 * [backup-simplify]: Simplify 1 into 1 27.488 * [backup-simplify]: Simplify (/ 1 1) into 1 27.488 * [backup-simplify]: Simplify (* 1 1) into 1 27.488 * [backup-simplify]: Simplify (+ 0 1) into 1 27.488 * [backup-simplify]: Simplify (sqrt 1) into 1 27.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.490 * [backup-simplify]: Simplify (+ 0 0) into 0 27.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.490 * [backup-simplify]: Simplify (/ 1 1) into 1 27.490 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 27.490 * [taylor]: Taking taylor expansion of 1/2 in x 27.490 * [backup-simplify]: Simplify 1/2 into 1/2 27.490 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 27.491 * [taylor]: Taking taylor expansion of 1/2 in x 27.491 * [backup-simplify]: Simplify 1/2 into 1/2 27.491 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 27.491 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 27.491 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 27.491 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 27.491 * [taylor]: Taking taylor expansion of (* 1 1) in x 27.491 * [taylor]: Taking taylor expansion of 1 in x 27.491 * [backup-simplify]: Simplify 1 into 1 27.491 * [taylor]: Taking taylor expansion of 1 in x 27.491 * [backup-simplify]: Simplify 1 into 1 27.491 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 27.491 * [taylor]: Taking taylor expansion of (/ 1 x) in x 27.491 * [taylor]: Taking taylor expansion of x in x 27.491 * [backup-simplify]: Simplify 0 into 0 27.491 * [backup-simplify]: Simplify 1 into 1 27.491 * [backup-simplify]: Simplify (/ 1 1) into 1 27.491 * [taylor]: Taking taylor expansion of (/ 1 x) in x 27.491 * [taylor]: Taking taylor expansion of x in x 27.491 * [backup-simplify]: Simplify 0 into 0 27.491 * [backup-simplify]: Simplify 1 into 1 27.491 * [backup-simplify]: Simplify (/ 1 1) into 1 27.492 * [backup-simplify]: Simplify (* 1 1) into 1 27.492 * [backup-simplify]: Simplify (+ 0 1) into 1 27.492 * [backup-simplify]: Simplify (sqrt 1) into 1 27.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.493 * [backup-simplify]: Simplify (+ 0 0) into 0 27.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.494 * [backup-simplify]: Simplify (/ 1 1) into 1 27.494 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 27.494 * [backup-simplify]: Simplify 1/2 into 1/2 27.495 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 27.495 * [backup-simplify]: Simplify (- 1/2) into -1/2 27.495 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 27.495 * [backup-simplify]: Simplify -1/2 into -1/2 27.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.496 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 27.496 * [backup-simplify]: Simplify (- 0) into 0 27.497 * [backup-simplify]: Simplify (+ 0 0) into 0 27.497 * [backup-simplify]: Simplify 0 into 0 27.497 * [backup-simplify]: Simplify (* 1 1) into 1 27.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 27.499 * [backup-simplify]: Simplify (+ 1 0) into 1 27.499 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 27.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 27.500 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 27.501 * [backup-simplify]: Simplify (- -1/4) into 1/4 27.501 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 27.501 * [backup-simplify]: Simplify 1/4 into 1/4 27.501 * [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))) 27.501 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 27.501 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in (x) around 0 27.501 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 27.501 * [taylor]: Taking taylor expansion of 1/2 in x 27.501 * [backup-simplify]: Simplify 1/2 into 1/2 27.501 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 27.501 * [taylor]: Taking taylor expansion of 1/2 in x 27.501 * [backup-simplify]: Simplify 1/2 into 1/2 27.501 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 27.501 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 27.501 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 27.501 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 27.501 * [taylor]: Taking taylor expansion of (* 1 1) in x 27.501 * [taylor]: Taking taylor expansion of 1 in x 27.501 * [backup-simplify]: Simplify 1 into 1 27.501 * [taylor]: Taking taylor expansion of 1 in x 27.501 * [backup-simplify]: Simplify 1 into 1 27.501 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 27.501 * [taylor]: Taking taylor expansion of (/ -1 x) in x 27.501 * [taylor]: Taking taylor expansion of -1 in x 27.501 * [backup-simplify]: Simplify -1 into -1 27.502 * [taylor]: Taking taylor expansion of x in x 27.502 * [backup-simplify]: Simplify 0 into 0 27.502 * [backup-simplify]: Simplify 1 into 1 27.502 * [backup-simplify]: Simplify (/ -1 1) into -1 27.502 * [taylor]: Taking taylor expansion of (/ -1 x) in x 27.502 * [taylor]: Taking taylor expansion of -1 in x 27.502 * [backup-simplify]: Simplify -1 into -1 27.502 * [taylor]: Taking taylor expansion of x in x 27.502 * [backup-simplify]: Simplify 0 into 0 27.502 * [backup-simplify]: Simplify 1 into 1 27.502 * [backup-simplify]: Simplify (/ -1 1) into -1 27.502 * [backup-simplify]: Simplify (* -1 -1) into 1 27.503 * [backup-simplify]: Simplify (+ 0 1) into 1 27.503 * [backup-simplify]: Simplify (sqrt 1) into 1 27.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 27.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 27.504 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 27.505 * [backup-simplify]: Simplify (+ 0 0) into 0 27.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.505 * [backup-simplify]: Simplify (/ 1 1) into 1 27.505 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 27.505 * [taylor]: Taking taylor expansion of 1/2 in x 27.505 * [backup-simplify]: Simplify 1/2 into 1/2 27.505 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 27.505 * [taylor]: Taking taylor expansion of 1/2 in x 27.505 * [backup-simplify]: Simplify 1/2 into 1/2 27.505 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 27.505 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 27.505 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 27.505 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 27.506 * [taylor]: Taking taylor expansion of (* 1 1) in x 27.506 * [taylor]: Taking taylor expansion of 1 in x 27.506 * [backup-simplify]: Simplify 1 into 1 27.506 * [taylor]: Taking taylor expansion of 1 in x 27.506 * [backup-simplify]: Simplify 1 into 1 27.506 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 27.506 * [taylor]: Taking taylor expansion of (/ -1 x) in x 27.506 * [taylor]: Taking taylor expansion of -1 in x 27.506 * [backup-simplify]: Simplify -1 into -1 27.506 * [taylor]: Taking taylor expansion of x in x 27.506 * [backup-simplify]: Simplify 0 into 0 27.506 * [backup-simplify]: Simplify 1 into 1 27.506 * [backup-simplify]: Simplify (/ -1 1) into -1 27.506 * [taylor]: Taking taylor expansion of (/ -1 x) in x 27.506 * [taylor]: Taking taylor expansion of -1 in x 27.506 * [backup-simplify]: Simplify -1 into -1 27.506 * [taylor]: Taking taylor expansion of x in x 27.506 * [backup-simplify]: Simplify 0 into 0 27.506 * [backup-simplify]: Simplify 1 into 1 27.506 * [backup-simplify]: Simplify (/ -1 1) into -1 27.507 * [backup-simplify]: Simplify (* -1 -1) into 1 27.507 * [backup-simplify]: Simplify (+ 0 1) into 1 27.507 * [backup-simplify]: Simplify (sqrt 1) into 1 27.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 27.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 27.509 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 27.509 * [backup-simplify]: Simplify (+ 0 0) into 0 27.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.510 * [backup-simplify]: Simplify (/ 1 1) into 1 27.511 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 27.511 * [backup-simplify]: Simplify 1/2 into 1/2 27.511 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 27.512 * [backup-simplify]: Simplify (- 1/2) into -1/2 27.512 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 27.512 * [backup-simplify]: Simplify -1/2 into -1/2 27.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.514 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 27.514 * [backup-simplify]: Simplify (- 0) into 0 27.514 * [backup-simplify]: Simplify (+ 0 0) into 0 27.514 * [backup-simplify]: Simplify 0 into 0 27.515 * [backup-simplify]: Simplify (* 1 1) into 1 27.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.517 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 27.518 * [backup-simplify]: Simplify (+ 1 0) into 1 27.519 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 27.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 27.528 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 27.529 * [backup-simplify]: Simplify (- -1/4) into 1/4 27.529 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 27.529 * [backup-simplify]: Simplify 1/4 into 1/4 27.529 * [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)))) 27.530 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 27.530 * [backup-simplify]: Simplify (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) into (* (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))) 27.530 * [approximate]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))) in (x) around 0 27.530 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))) in x 27.530 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 27.530 * [taylor]: Taking taylor expansion of 1/2 in x 27.530 * [backup-simplify]: Simplify 1/2 into 1/2 27.530 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 27.530 * [taylor]: Taking taylor expansion of 1/2 in x 27.530 * [backup-simplify]: Simplify 1/2 into 1/2 27.530 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 27.530 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 27.530 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 27.530 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 27.530 * [taylor]: Taking taylor expansion of (* 1 1) in x 27.530 * [taylor]: Taking taylor expansion of 1 in x 27.530 * [backup-simplify]: Simplify 1 into 1 27.530 * [taylor]: Taking taylor expansion of 1 in x 27.530 * [backup-simplify]: Simplify 1 into 1 27.530 * [taylor]: Taking taylor expansion of (* x x) in x 27.530 * [taylor]: Taking taylor expansion of x in x 27.530 * [backup-simplify]: Simplify 0 into 0 27.530 * [backup-simplify]: Simplify 1 into 1 27.530 * [taylor]: Taking taylor expansion of x in x 27.530 * [backup-simplify]: Simplify 0 into 0 27.530 * [backup-simplify]: Simplify 1 into 1 27.531 * [backup-simplify]: Simplify (* 1 1) into 1 27.531 * [backup-simplify]: Simplify (* 0 0) into 0 27.532 * [backup-simplify]: Simplify (+ 1 0) into 1 27.532 * [backup-simplify]: Simplify (sqrt 1) into 1 27.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.533 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 27.534 * [backup-simplify]: Simplify (+ 0 0) into 0 27.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.535 * [backup-simplify]: Simplify (/ 1 1) into 1 27.535 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 27.535 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 27.535 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 27.535 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 27.535 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 27.535 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 27.535 * [taylor]: Taking taylor expansion of 1/2 in x 27.535 * [backup-simplify]: Simplify 1/2 into 1/2 27.535 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 27.535 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 27.535 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 27.535 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 27.535 * [taylor]: Taking taylor expansion of (* 1 1) in x 27.535 * [taylor]: Taking taylor expansion of 1 in x 27.535 * [backup-simplify]: Simplify 1 into 1 27.535 * [taylor]: Taking taylor expansion of 1 in x 27.535 * [backup-simplify]: Simplify 1 into 1 27.535 * [taylor]: Taking taylor expansion of (* x x) in x 27.535 * [taylor]: Taking taylor expansion of x in x 27.535 * [backup-simplify]: Simplify 0 into 0 27.535 * [backup-simplify]: Simplify 1 into 1 27.535 * [taylor]: Taking taylor expansion of x in x 27.535 * [backup-simplify]: Simplify 0 into 0 27.535 * [backup-simplify]: Simplify 1 into 1 27.536 * [backup-simplify]: Simplify (* 1 1) into 1 27.536 * [backup-simplify]: Simplify (* 0 0) into 0 27.537 * [backup-simplify]: Simplify (+ 1 0) into 1 27.537 * [backup-simplify]: Simplify (sqrt 1) into 1 27.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.538 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 27.539 * [backup-simplify]: Simplify (+ 0 0) into 0 27.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.540 * [backup-simplify]: Simplify (/ 1 1) into 1 27.540 * [taylor]: Taking taylor expansion of 1/2 in x 27.540 * [backup-simplify]: Simplify 1/2 into 1/2 27.540 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 27.540 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 27.541 * [backup-simplify]: Simplify (sqrt 1) into 1 27.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.542 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 27.543 * [backup-simplify]: Simplify (+ 0 0) into 0 27.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.545 * [taylor]: Taking taylor expansion of 1 in x 27.545 * [backup-simplify]: Simplify 1 into 1 27.545 * [backup-simplify]: Simplify (+ 1 1) into 2 27.545 * [backup-simplify]: Simplify (/ 1 2) into 1/2 27.545 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 27.546 * [backup-simplify]: Simplify (+ 0 0) into 0 27.546 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 27.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 27.546 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))) in x 27.546 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 27.546 * [taylor]: Taking taylor expansion of 1/2 in x 27.546 * [backup-simplify]: Simplify 1/2 into 1/2 27.547 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 27.547 * [taylor]: Taking taylor expansion of 1/2 in x 27.547 * [backup-simplify]: Simplify 1/2 into 1/2 27.547 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 27.547 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 27.547 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 27.547 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 27.547 * [taylor]: Taking taylor expansion of (* 1 1) in x 27.547 * [taylor]: Taking taylor expansion of 1 in x 27.547 * [backup-simplify]: Simplify 1 into 1 27.547 * [taylor]: Taking taylor expansion of 1 in x 27.547 * [backup-simplify]: Simplify 1 into 1 27.547 * [taylor]: Taking taylor expansion of (* x x) in x 27.547 * [taylor]: Taking taylor expansion of x in x 27.547 * [backup-simplify]: Simplify 0 into 0 27.547 * [backup-simplify]: Simplify 1 into 1 27.547 * [taylor]: Taking taylor expansion of x in x 27.547 * [backup-simplify]: Simplify 0 into 0 27.547 * [backup-simplify]: Simplify 1 into 1 27.547 * [backup-simplify]: Simplify (* 1 1) into 1 27.547 * [backup-simplify]: Simplify (* 0 0) into 0 27.548 * [backup-simplify]: Simplify (+ 1 0) into 1 27.548 * [backup-simplify]: Simplify (sqrt 1) into 1 27.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.548 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 27.549 * [backup-simplify]: Simplify (+ 0 0) into 0 27.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.549 * [backup-simplify]: Simplify (/ 1 1) into 1 27.549 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 27.549 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 27.549 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 27.549 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 27.549 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 27.549 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 27.549 * [taylor]: Taking taylor expansion of 1/2 in x 27.549 * [backup-simplify]: Simplify 1/2 into 1/2 27.549 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 27.549 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 27.550 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 27.550 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 27.550 * [taylor]: Taking taylor expansion of (* 1 1) in x 27.550 * [taylor]: Taking taylor expansion of 1 in x 27.550 * [backup-simplify]: Simplify 1 into 1 27.550 * [taylor]: Taking taylor expansion of 1 in x 27.550 * [backup-simplify]: Simplify 1 into 1 27.550 * [taylor]: Taking taylor expansion of (* x x) in x 27.550 * [taylor]: Taking taylor expansion of x in x 27.550 * [backup-simplify]: Simplify 0 into 0 27.550 * [backup-simplify]: Simplify 1 into 1 27.550 * [taylor]: Taking taylor expansion of x in x 27.550 * [backup-simplify]: Simplify 0 into 0 27.550 * [backup-simplify]: Simplify 1 into 1 27.550 * [backup-simplify]: Simplify (* 1 1) into 1 27.550 * [backup-simplify]: Simplify (* 0 0) into 0 27.550 * [backup-simplify]: Simplify (+ 1 0) into 1 27.551 * [backup-simplify]: Simplify (sqrt 1) into 1 27.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.551 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 27.552 * [backup-simplify]: Simplify (+ 0 0) into 0 27.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.552 * [backup-simplify]: Simplify (/ 1 1) into 1 27.552 * [taylor]: Taking taylor expansion of 1/2 in x 27.552 * [backup-simplify]: Simplify 1/2 into 1/2 27.553 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 27.553 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 27.553 * [backup-simplify]: Simplify (sqrt 1) into 1 27.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.554 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 27.554 * [backup-simplify]: Simplify (+ 0 0) into 0 27.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.554 * [taylor]: Taking taylor expansion of 1 in x 27.554 * [backup-simplify]: Simplify 1 into 1 27.555 * [backup-simplify]: Simplify (+ 1 1) into 2 27.555 * [backup-simplify]: Simplify (/ 1 2) into 1/2 27.555 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 27.555 * [backup-simplify]: Simplify (+ 0 0) into 0 27.556 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 27.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 27.557 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 27.557 * [backup-simplify]: Simplify (- 1/2) into -1/2 27.557 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 27.557 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 27.557 * [backup-simplify]: Simplify 0 into 0 27.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.558 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 27.559 * [backup-simplify]: Simplify (- 0) into 0 27.559 * [backup-simplify]: Simplify (+ 0 0) into 0 27.559 * [backup-simplify]: Simplify (+ (* 0 0) (* 0 (sqrt 1/2))) into 0 27.559 * [backup-simplify]: Simplify 0 into 0 27.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 27.560 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 27.561 * [backup-simplify]: Simplify (+ 0 1) into 1 27.561 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 27.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 27.562 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 27.562 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 27.563 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 27.563 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 27.564 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ -1/8 2)) (* 0 (/ 0 2)))) into 1/32 27.566 * [backup-simplify]: Simplify (/ (- 1/32 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ 1/64 (sqrt 1/2)) 27.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 27.567 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 27.567 * [backup-simplify]: Simplify (+ 0 1) into 1 27.567 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 27.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 27.569 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 27.569 * [backup-simplify]: Simplify (- -1/4) into 1/4 27.569 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 27.572 * [backup-simplify]: Simplify (+ (* 0 (/ 1/64 (sqrt 1/2))) (+ (* 0 0) (* 1/4 (sqrt 1/2)))) into (* 1/4 (sqrt 1/2)) 27.572 * [backup-simplify]: Simplify (* 1/4 (sqrt 1/2)) into (* 1/4 (sqrt 1/2)) 27.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.574 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 27.574 * [backup-simplify]: Simplify (+ 0 0) into 0 27.575 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 27.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 27.577 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 27.577 * [backup-simplify]: Simplify (+ 0 0) into 0 27.579 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 27.579 * [backup-simplify]: Simplify (+ 0 0) into 0 27.581 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/8 2)) (* 1/32 (/ 0 2)))) into 0 27.582 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/64 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 27.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.584 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 27.585 * [backup-simplify]: Simplify (+ 0 0) into 0 27.586 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 27.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 27.588 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 27.589 * [backup-simplify]: Simplify (- 0) into 0 27.589 * [backup-simplify]: Simplify (+ 0 0) into 0 27.590 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0 (/ 1/64 (sqrt 1/2))) (+ (* 1/4 0) (* 0 (sqrt 1/2))))) into 0 27.590 * [backup-simplify]: Simplify 0 into 0 27.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 27.591 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 27.591 * [backup-simplify]: Simplify (+ 0 0) into 0 27.592 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 27.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 27.594 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 27.594 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 27.595 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 27.596 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 27.597 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 11/128 2)) (* 0 (/ 0 2)) (* 1/32 (/ -1/8 2)) (* 0 (/ 0 2)))) into -5/256 27.600 * [backup-simplify]: Simplify (/ (- -5/256 (pow (/ 1/64 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* -1/2 (/ (+ (* 1/4096 (/ 1 (pow (sqrt 1/2) 2))) 5/256) (sqrt 1/2))) 27.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 27.602 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 27.602 * [backup-simplify]: Simplify (+ 0 0) into 0 27.603 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 27.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 27.604 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 27.605 * [backup-simplify]: Simplify (- 3/16) into -3/16 27.605 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 27.613 * [backup-simplify]: Simplify (+ (* 0 (* -1/2 (/ (+ (* 1/4096 (/ 1 (pow (sqrt 1/2) 2))) 5/256) (sqrt 1/2)))) (+ (* 0 0) (+ (* 1/4 (/ 1/64 (sqrt 1/2))) (+ (* 0 0) (* -3/16 (sqrt 1/2)))))) into (- (* 1/256 (/ 1 (sqrt 1/2))) (* 3/16 (sqrt 1/2))) 27.615 * [backup-simplify]: Simplify (- (* 1/256 (/ 1 (sqrt 1/2))) (* 3/16 (sqrt 1/2))) into (- (* 1/256 (/ 1 (sqrt 1/2))) (* 3/16 (sqrt 1/2))) 27.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 27.616 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 27.617 * [backup-simplify]: Simplify (+ 0 0) into 0 27.618 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 27.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 27.625 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 27.626 * [backup-simplify]: Simplify (+ 0 0) into 0 27.627 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 11/128)) (* 2 (* -1/8 0)))) (* 2 1)) into 0 27.627 * [backup-simplify]: Simplify (+ 0 0) into 0 27.628 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 11/128 2)) (* 1/32 (/ 0 2)) (* 0 (/ -1/8 2)) (* -5/256 (/ 0 2)))) into 0 27.631 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/2 (/ (+ (* 1/4096 (/ 1 (pow (sqrt 1/2) 2))) 5/256) (sqrt 1/2))))) (* 2 (* (/ 1/64 (sqrt 1/2)) 0)))) (* 2 (sqrt 1/2))) into 0 27.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 27.632 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 27.633 * [backup-simplify]: Simplify (+ 0 0) into 0 27.634 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 27.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 27.636 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 27.636 * [backup-simplify]: Simplify (- 0) into 0 27.636 * [backup-simplify]: Simplify (+ 0 0) into 0 27.640 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0 (* -1/2 (/ (+ (* 1/4096 (/ 1 (pow (sqrt 1/2) 2))) 5/256) (sqrt 1/2)))) (+ (* 1/4 0) (+ (* 0 (/ 1/64 (sqrt 1/2))) (+ (* -3/16 0) (* 0 (sqrt 1/2))))))) into 0 27.640 * [backup-simplify]: Simplify 0 into 0 27.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 27.641 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 27.642 * [backup-simplify]: Simplify (+ 0 0) into 0 27.643 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 27.644 * [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 27.645 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 27.646 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 27.647 * [backup-simplify]: Simplify (/ (- -5/32 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/8 11/128)))) (* 2 1)) into -69/1024 27.647 * [backup-simplify]: Simplify (+ -69/1024 0) into -69/1024 27.649 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ -69/1024 2)) (* 0 (/ 0 2)) (* 1/32 (/ 11/128 2)) (* 0 (/ 0 2)) (* -5/256 (/ -1/8 2)) (* 0 (/ 0 2)))) into 117/8192 27.663 * [backup-simplify]: Simplify (/ (- 117/8192 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* (/ 1/64 (sqrt 1/2)) (* -1/2 (/ (+ (* 1/4096 (/ 1 (pow (sqrt 1/2) 2))) 5/256) (sqrt 1/2))))))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (+ (* 1/262144 (/ 1 (pow (sqrt 1/2) 4))) (+ (* 5/16384 (/ 1 (pow (sqrt 1/2) 2))) 117/8192)) (sqrt 1/2))) 27.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 27.665 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 27.666 * [backup-simplify]: Simplify (+ 0 0) into 0 27.667 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 27.668 * [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 27.669 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 27.670 * [backup-simplify]: Simplify (- -5/32) into 5/32 27.670 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 27.692 * [backup-simplify]: Simplify (+ (* 0 (* 1/2 (/ (+ (* 1/262144 (/ 1 (pow (sqrt 1/2) 4))) (+ (* 5/16384 (/ 1 (pow (sqrt 1/2) 2))) 117/8192)) (sqrt 1/2)))) (+ (* 0 0) (+ (* 1/4 (* -1/2 (/ (+ (* 1/4096 (/ 1 (pow (sqrt 1/2) 2))) 5/256) (sqrt 1/2)))) (+ (* 0 0) (+ (* -3/16 (/ 1/64 (sqrt 1/2))) (+ (* 0 0) (* 5/32 (sqrt 1/2)))))))) into (- (* 5/32 (sqrt 1/2)) (+ (* 11/2048 (/ 1 (sqrt 1/2))) (* 1/32768 (/ 1 (pow (sqrt 1/2) 3))))) 27.701 * [backup-simplify]: Simplify (- (* 5/32 (sqrt 1/2)) (+ (* 11/2048 (/ 1 (sqrt 1/2))) (* 1/32768 (/ 1 (pow (sqrt 1/2) 3))))) into (- (* 5/32 (sqrt 1/2)) (+ (* 11/2048 (/ 1 (sqrt 1/2))) (* 1/32768 (/ 1 (pow (sqrt 1/2) 3))))) 27.714 * [backup-simplify]: Simplify (+ (* (- (* 5/32 (sqrt 1/2)) (+ (* 11/2048 (/ 1 (sqrt 1/2))) (* 1/32768 (/ 1 (pow (sqrt 1/2) 3))))) (pow x 6)) (+ (* (- (* 1/256 (/ 1 (sqrt 1/2))) (* 3/16 (sqrt 1/2))) (pow x 4)) (* (* 1/4 (sqrt 1/2)) (pow x 2)))) into (- (+ (* 5/32 (* (pow x 6) (sqrt 1/2))) (+ (* 1/256 (/ (pow x 4) (sqrt 1/2))) (* 1/4 (* (pow x 2) (sqrt 1/2))))) (+ (* 1/32768 (/ (pow x 6) (pow (sqrt 1/2) 3))) (+ (* 3/16 (* (pow x 4) (sqrt 1/2))) (* 11/2048 (/ (pow x 6) (sqrt 1/2)))))) 27.715 * [backup-simplify]: Simplify (/ (- 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2))))) into (* (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))) 27.715 * [approximate]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))) in (x) around 0 27.715 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))) in x 27.715 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 27.715 * [taylor]: Taking taylor expansion of 1/2 in x 27.715 * [backup-simplify]: Simplify 1/2 into 1/2 27.715 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 27.715 * [taylor]: Taking taylor expansion of 1/2 in x 27.715 * [backup-simplify]: Simplify 1/2 into 1/2 27.715 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 27.715 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 27.715 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 27.715 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 27.715 * [taylor]: Taking taylor expansion of (* 1 1) in x 27.715 * [taylor]: Taking taylor expansion of 1 in x 27.715 * [backup-simplify]: Simplify 1 into 1 27.715 * [taylor]: Taking taylor expansion of 1 in x 27.715 * [backup-simplify]: Simplify 1 into 1 27.715 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 27.715 * [taylor]: Taking taylor expansion of (/ 1 x) in x 27.715 * [taylor]: Taking taylor expansion of x in x 27.715 * [backup-simplify]: Simplify 0 into 0 27.715 * [backup-simplify]: Simplify 1 into 1 27.716 * [backup-simplify]: Simplify (/ 1 1) into 1 27.716 * [taylor]: Taking taylor expansion of (/ 1 x) in x 27.716 * [taylor]: Taking taylor expansion of x in x 27.716 * [backup-simplify]: Simplify 0 into 0 27.716 * [backup-simplify]: Simplify 1 into 1 27.717 * [backup-simplify]: Simplify (/ 1 1) into 1 27.717 * [backup-simplify]: Simplify (* 1 1) into 1 27.717 * [backup-simplify]: Simplify (+ 0 1) into 1 27.725 * [backup-simplify]: Simplify (sqrt 1) into 1 27.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.728 * [backup-simplify]: Simplify (+ 0 0) into 0 27.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.729 * [backup-simplify]: Simplify (/ 1 1) into 1 27.729 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 27.729 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 27.729 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 27.729 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 27.729 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 27.730 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 27.730 * [taylor]: Taking taylor expansion of 1/2 in x 27.730 * [backup-simplify]: Simplify 1/2 into 1/2 27.730 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 27.730 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 27.730 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 27.730 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 27.730 * [taylor]: Taking taylor expansion of (* 1 1) in x 27.730 * [taylor]: Taking taylor expansion of 1 in x 27.730 * [backup-simplify]: Simplify 1 into 1 27.730 * [taylor]: Taking taylor expansion of 1 in x 27.730 * [backup-simplify]: Simplify 1 into 1 27.730 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 27.730 * [taylor]: Taking taylor expansion of (/ 1 x) in x 27.730 * [taylor]: Taking taylor expansion of x in x 27.730 * [backup-simplify]: Simplify 0 into 0 27.730 * [backup-simplify]: Simplify 1 into 1 27.730 * [backup-simplify]: Simplify (/ 1 1) into 1 27.730 * [taylor]: Taking taylor expansion of (/ 1 x) in x 27.730 * [taylor]: Taking taylor expansion of x in x 27.731 * [backup-simplify]: Simplify 0 into 0 27.731 * [backup-simplify]: Simplify 1 into 1 27.731 * [backup-simplify]: Simplify (/ 1 1) into 1 27.731 * [backup-simplify]: Simplify (* 1 1) into 1 27.732 * [backup-simplify]: Simplify (+ 0 1) into 1 27.732 * [backup-simplify]: Simplify (sqrt 1) into 1 27.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.735 * [backup-simplify]: Simplify (+ 0 0) into 0 27.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.736 * [backup-simplify]: Simplify (/ 1 1) into 1 27.736 * [taylor]: Taking taylor expansion of 1/2 in x 27.736 * [backup-simplify]: Simplify 1/2 into 1/2 27.736 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 27.737 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 27.737 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 27.738 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 27.739 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 27.739 * [taylor]: Taking taylor expansion of 1 in x 27.739 * [backup-simplify]: Simplify 1 into 1 27.740 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 27.742 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1/2) 1)) into (/ 1 (+ (sqrt 1/2) 1)) 27.744 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt 1/2) 1))) into (sqrt (/ 1 (+ (sqrt 1/2) 1))) 27.745 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 27.755 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt 1/2) 1)) (/ (* 1/4 (/ 1 (sqrt 1/2))) (+ (sqrt 1/2) 1))))) into (- (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) 27.767 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (* 2 (sqrt (/ 1 (+ (sqrt 1/2) 1))))) into (* -1/8 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))) 27.767 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))) in x 27.767 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 27.767 * [taylor]: Taking taylor expansion of 1/2 in x 27.767 * [backup-simplify]: Simplify 1/2 into 1/2 27.767 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 27.767 * [taylor]: Taking taylor expansion of 1/2 in x 27.767 * [backup-simplify]: Simplify 1/2 into 1/2 27.767 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 27.767 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 27.767 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 27.767 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 27.767 * [taylor]: Taking taylor expansion of (* 1 1) in x 27.767 * [taylor]: Taking taylor expansion of 1 in x 27.767 * [backup-simplify]: Simplify 1 into 1 27.767 * [taylor]: Taking taylor expansion of 1 in x 27.767 * [backup-simplify]: Simplify 1 into 1 27.767 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 27.767 * [taylor]: Taking taylor expansion of (/ 1 x) in x 27.767 * [taylor]: Taking taylor expansion of x in x 27.767 * [backup-simplify]: Simplify 0 into 0 27.767 * [backup-simplify]: Simplify 1 into 1 27.768 * [backup-simplify]: Simplify (/ 1 1) into 1 27.768 * [taylor]: Taking taylor expansion of (/ 1 x) in x 27.768 * [taylor]: Taking taylor expansion of x in x 27.768 * [backup-simplify]: Simplify 0 into 0 27.768 * [backup-simplify]: Simplify 1 into 1 27.768 * [backup-simplify]: Simplify (/ 1 1) into 1 27.769 * [backup-simplify]: Simplify (* 1 1) into 1 27.769 * [backup-simplify]: Simplify (+ 0 1) into 1 27.769 * [backup-simplify]: Simplify (sqrt 1) into 1 27.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.772 * [backup-simplify]: Simplify (+ 0 0) into 0 27.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.773 * [backup-simplify]: Simplify (/ 1 1) into 1 27.773 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 27.773 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 27.773 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 27.773 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 27.773 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 27.773 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 27.773 * [taylor]: Taking taylor expansion of 1/2 in x 27.773 * [backup-simplify]: Simplify 1/2 into 1/2 27.773 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 27.773 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 27.773 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 27.773 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 27.773 * [taylor]: Taking taylor expansion of (* 1 1) in x 27.773 * [taylor]: Taking taylor expansion of 1 in x 27.773 * [backup-simplify]: Simplify 1 into 1 27.773 * [taylor]: Taking taylor expansion of 1 in x 27.773 * [backup-simplify]: Simplify 1 into 1 27.773 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 27.774 * [taylor]: Taking taylor expansion of (/ 1 x) in x 27.774 * [taylor]: Taking taylor expansion of x in x 27.774 * [backup-simplify]: Simplify 0 into 0 27.774 * [backup-simplify]: Simplify 1 into 1 27.774 * [backup-simplify]: Simplify (/ 1 1) into 1 27.774 * [taylor]: Taking taylor expansion of (/ 1 x) in x 27.774 * [taylor]: Taking taylor expansion of x in x 27.774 * [backup-simplify]: Simplify 0 into 0 27.774 * [backup-simplify]: Simplify 1 into 1 27.775 * [backup-simplify]: Simplify (/ 1 1) into 1 27.775 * [backup-simplify]: Simplify (* 1 1) into 1 27.775 * [backup-simplify]: Simplify (+ 0 1) into 1 27.776 * [backup-simplify]: Simplify (sqrt 1) into 1 27.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.779 * [backup-simplify]: Simplify (+ 0 0) into 0 27.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 27.780 * [backup-simplify]: Simplify (/ 1 1) into 1 27.780 * [taylor]: Taking taylor expansion of 1/2 in x 27.780 * [backup-simplify]: Simplify 1/2 into 1/2 27.780 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 27.780 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 27.781 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 27.781 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 27.783 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 27.783 * [taylor]: Taking taylor expansion of 1 in x 27.783 * [backup-simplify]: Simplify 1 into 1 27.784 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 27.785 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1/2) 1)) into (/ 1 (+ (sqrt 1/2) 1)) 27.788 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt 1/2) 1))) into (sqrt (/ 1 (+ (sqrt 1/2) 1))) 27.790 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 27.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt 1/2) 1)) (/ (* 1/4 (/ 1 (sqrt 1/2))) (+ (sqrt 1/2) 1))))) into (- (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) 27.812 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (* 2 (sqrt (/ 1 (+ (sqrt 1/2) 1))))) into (* -1/8 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))) 27.813 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 27.816 * [backup-simplify]: Simplify (* 1/2 (sqrt (/ 1 (+ (sqrt 1/2) 1)))) into (* 1/2 (sqrt (/ 1 (+ (sqrt 1/2) 1)))) 27.819 * [backup-simplify]: Simplify (* 1/2 (sqrt (/ 1 (+ (sqrt 1/2) 1)))) into (* 1/2 (sqrt (/ 1 (+ (sqrt 1/2) 1)))) 27.820 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 27.820 * [backup-simplify]: Simplify (- 1/2) into -1/2 27.820 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 27.836 * [backup-simplify]: Simplify (+ (* 1/2 (* -1/8 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2))))) (* -1/2 (sqrt (/ 1 (+ (sqrt 1/2) 1))))) into (- (+ (* 1/2 (sqrt (/ 1 (+ (sqrt 1/2) 1)))) (* 1/16 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))))) 27.852 * [backup-simplify]: Simplify (- (+ (* 1/2 (sqrt (/ 1 (+ (sqrt 1/2) 1)))) (* 1/16 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))))) into (- (+ (* 1/2 (sqrt (/ 1 (+ (sqrt 1/2) 1)))) (* 1/16 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))))) 27.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.854 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 27.854 * [backup-simplify]: Simplify (+ 0 0) into 0 27.860 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 27.863 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 27.896 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt 1/2) 1)) (/ (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) 1))) (* (- (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (/ (* 1/4 (/ 1 (sqrt 1/2))) (+ (sqrt 1/2) 1))))) into (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) 27.919 * [backup-simplify]: Simplify (/ (- (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) (pow (* -1/8 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))) 2) (+)) (* 2 (sqrt (/ 1 (+ (sqrt 1/2) 1))))) into (* 1/2 (* (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 3/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) (sqrt (+ (sqrt 1/2) 1)))) 27.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.920 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 27.920 * [backup-simplify]: Simplify (- 0) into 0 27.921 * [backup-simplify]: Simplify (+ 0 0) into 0 27.948 * [backup-simplify]: Simplify (+ (* 1/2 (* 1/2 (* (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 3/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) (sqrt (+ (sqrt 1/2) 1))))) (+ (* -1/2 (* -1/8 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2))))) (* 0 (sqrt (/ 1 (+ (sqrt 1/2) 1)))))) into (+ (* 1/16 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))) (+ (* 1/128 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (pow (sqrt 1/2) 3)))) (* 3/256 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 5))) (/ 1 (pow (sqrt 1/2) 2)))))) 28.374 * [backup-simplify]: Simplify (+ (* 1/16 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))) (+ (* 1/128 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (pow (sqrt 1/2) 3)))) (* 3/256 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 5))) (/ 1 (pow (sqrt 1/2) 2)))))) into (+ (* 1/16 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))) (+ (* 1/128 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (pow (sqrt 1/2) 3)))) (* 3/256 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 5))) (/ 1 (pow (sqrt 1/2) 2)))))) 28.429 * [backup-simplify]: Simplify (+ (* (+ (* 1/16 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))) (+ (* 1/128 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (pow (sqrt 1/2) 3)))) (* 3/256 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 5))) (/ 1 (pow (sqrt 1/2) 2)))))) (pow (/ 1 x) 2)) (+ (* (- (+ (* 1/2 (sqrt (/ 1 (+ (sqrt 1/2) 1)))) (* 1/16 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))))) (/ 1 x)) (* 1/2 (sqrt (/ 1 (+ (sqrt 1/2) 1)))))) into (- (+ (* 3/256 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 5))))) (+ (* 1/16 (* (/ 1 (* (pow x 2) (sqrt 1/2))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))))) (+ (* 1/128 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))))) (* 1/2 (sqrt (/ 1 (+ (sqrt 1/2) 1))))))) (+ (* 1/16 (* (/ 1 (* x (sqrt 1/2))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))))) (* 1/2 (* (/ 1 x) (sqrt (/ 1 (+ (sqrt 1/2) 1))))))) 28.429 * [backup-simplify]: Simplify (/ (- 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2))))) into (* (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) 28.429 * [approximate]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) in (x) around 0 28.429 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) in x 28.429 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 28.429 * [taylor]: Taking taylor expansion of 1/2 in x 28.429 * [backup-simplify]: Simplify 1/2 into 1/2 28.429 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 28.429 * [taylor]: Taking taylor expansion of 1/2 in x 28.429 * [backup-simplify]: Simplify 1/2 into 1/2 28.429 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 28.429 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 28.430 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 28.430 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 28.430 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.430 * [taylor]: Taking taylor expansion of 1 in x 28.430 * [backup-simplify]: Simplify 1 into 1 28.430 * [taylor]: Taking taylor expansion of 1 in x 28.430 * [backup-simplify]: Simplify 1 into 1 28.430 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 28.430 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.430 * [taylor]: Taking taylor expansion of -1 in x 28.430 * [backup-simplify]: Simplify -1 into -1 28.430 * [taylor]: Taking taylor expansion of x in x 28.430 * [backup-simplify]: Simplify 0 into 0 28.430 * [backup-simplify]: Simplify 1 into 1 28.430 * [backup-simplify]: Simplify (/ -1 1) into -1 28.430 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.430 * [taylor]: Taking taylor expansion of -1 in x 28.430 * [backup-simplify]: Simplify -1 into -1 28.430 * [taylor]: Taking taylor expansion of x in x 28.430 * [backup-simplify]: Simplify 0 into 0 28.430 * [backup-simplify]: Simplify 1 into 1 28.431 * [backup-simplify]: Simplify (/ -1 1) into -1 28.431 * [backup-simplify]: Simplify (* -1 -1) into 1 28.432 * [backup-simplify]: Simplify (+ 0 1) into 1 28.432 * [backup-simplify]: Simplify (sqrt 1) into 1 28.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.435 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 28.435 * [backup-simplify]: Simplify (+ 0 0) into 0 28.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.436 * [backup-simplify]: Simplify (/ 1 1) into 1 28.436 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 28.436 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 28.436 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 28.436 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 28.436 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 28.436 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 28.436 * [taylor]: Taking taylor expansion of 1/2 in x 28.436 * [backup-simplify]: Simplify 1/2 into 1/2 28.436 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 28.436 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 28.436 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 28.436 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 28.436 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.436 * [taylor]: Taking taylor expansion of 1 in x 28.436 * [backup-simplify]: Simplify 1 into 1 28.436 * [taylor]: Taking taylor expansion of 1 in x 28.437 * [backup-simplify]: Simplify 1 into 1 28.437 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 28.437 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.437 * [taylor]: Taking taylor expansion of -1 in x 28.437 * [backup-simplify]: Simplify -1 into -1 28.437 * [taylor]: Taking taylor expansion of x in x 28.437 * [backup-simplify]: Simplify 0 into 0 28.437 * [backup-simplify]: Simplify 1 into 1 28.437 * [backup-simplify]: Simplify (/ -1 1) into -1 28.437 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.437 * [taylor]: Taking taylor expansion of -1 in x 28.437 * [backup-simplify]: Simplify -1 into -1 28.437 * [taylor]: Taking taylor expansion of x in x 28.437 * [backup-simplify]: Simplify 0 into 0 28.437 * [backup-simplify]: Simplify 1 into 1 28.438 * [backup-simplify]: Simplify (/ -1 1) into -1 28.438 * [backup-simplify]: Simplify (* -1 -1) into 1 28.438 * [backup-simplify]: Simplify (+ 0 1) into 1 28.439 * [backup-simplify]: Simplify (sqrt 1) into 1 28.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.441 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 28.441 * [backup-simplify]: Simplify (+ 0 0) into 0 28.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.443 * [backup-simplify]: Simplify (/ 1 1) into 1 28.443 * [taylor]: Taking taylor expansion of 1/2 in x 28.443 * [backup-simplify]: Simplify 1/2 into 1/2 28.443 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 28.443 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 28.444 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 28.444 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 28.446 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 28.446 * [taylor]: Taking taylor expansion of 1 in x 28.446 * [backup-simplify]: Simplify 1 into 1 28.447 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 28.448 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1/2) 1)) into (/ 1 (+ (sqrt 1/2) 1)) 28.450 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt 1/2) 1))) into (sqrt (/ 1 (+ (sqrt 1/2) 1))) 28.452 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 28.461 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt 1/2) 1)) (/ (* 1/4 (/ 1 (sqrt 1/2))) (+ (sqrt 1/2) 1))))) into (- (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) 28.471 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (* 2 (sqrt (/ 1 (+ (sqrt 1/2) 1))))) into (* -1/8 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))) 28.471 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) in x 28.471 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 28.471 * [taylor]: Taking taylor expansion of 1/2 in x 28.471 * [backup-simplify]: Simplify 1/2 into 1/2 28.471 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 28.471 * [taylor]: Taking taylor expansion of 1/2 in x 28.471 * [backup-simplify]: Simplify 1/2 into 1/2 28.471 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 28.471 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 28.471 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 28.471 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 28.471 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.471 * [taylor]: Taking taylor expansion of 1 in x 28.471 * [backup-simplify]: Simplify 1 into 1 28.471 * [taylor]: Taking taylor expansion of 1 in x 28.471 * [backup-simplify]: Simplify 1 into 1 28.471 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 28.471 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.471 * [taylor]: Taking taylor expansion of -1 in x 28.471 * [backup-simplify]: Simplify -1 into -1 28.471 * [taylor]: Taking taylor expansion of x in x 28.471 * [backup-simplify]: Simplify 0 into 0 28.471 * [backup-simplify]: Simplify 1 into 1 28.471 * [backup-simplify]: Simplify (/ -1 1) into -1 28.471 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.471 * [taylor]: Taking taylor expansion of -1 in x 28.472 * [backup-simplify]: Simplify -1 into -1 28.472 * [taylor]: Taking taylor expansion of x in x 28.472 * [backup-simplify]: Simplify 0 into 0 28.472 * [backup-simplify]: Simplify 1 into 1 28.472 * [backup-simplify]: Simplify (/ -1 1) into -1 28.472 * [backup-simplify]: Simplify (* -1 -1) into 1 28.473 * [backup-simplify]: Simplify (+ 0 1) into 1 28.473 * [backup-simplify]: Simplify (sqrt 1) into 1 28.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.474 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 28.474 * [backup-simplify]: Simplify (+ 0 0) into 0 28.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.475 * [backup-simplify]: Simplify (/ 1 1) into 1 28.475 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 28.475 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 28.475 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 28.475 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 28.475 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 28.475 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 28.475 * [taylor]: Taking taylor expansion of 1/2 in x 28.475 * [backup-simplify]: Simplify 1/2 into 1/2 28.475 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 28.475 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 28.475 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 28.475 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 28.475 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.475 * [taylor]: Taking taylor expansion of 1 in x 28.475 * [backup-simplify]: Simplify 1 into 1 28.475 * [taylor]: Taking taylor expansion of 1 in x 28.475 * [backup-simplify]: Simplify 1 into 1 28.475 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 28.475 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.475 * [taylor]: Taking taylor expansion of -1 in x 28.475 * [backup-simplify]: Simplify -1 into -1 28.475 * [taylor]: Taking taylor expansion of x in x 28.475 * [backup-simplify]: Simplify 0 into 0 28.475 * [backup-simplify]: Simplify 1 into 1 28.476 * [backup-simplify]: Simplify (/ -1 1) into -1 28.476 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.476 * [taylor]: Taking taylor expansion of -1 in x 28.476 * [backup-simplify]: Simplify -1 into -1 28.476 * [taylor]: Taking taylor expansion of x in x 28.476 * [backup-simplify]: Simplify 0 into 0 28.476 * [backup-simplify]: Simplify 1 into 1 28.476 * [backup-simplify]: Simplify (/ -1 1) into -1 28.476 * [backup-simplify]: Simplify (* -1 -1) into 1 28.476 * [backup-simplify]: Simplify (+ 0 1) into 1 28.477 * [backup-simplify]: Simplify (sqrt 1) into 1 28.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.478 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 28.478 * [backup-simplify]: Simplify (+ 0 0) into 0 28.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.479 * [backup-simplify]: Simplify (/ 1 1) into 1 28.479 * [taylor]: Taking taylor expansion of 1/2 in x 28.479 * [backup-simplify]: Simplify 1/2 into 1/2 28.479 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 28.479 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 28.480 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 28.480 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 28.481 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 28.481 * [taylor]: Taking taylor expansion of 1 in x 28.481 * [backup-simplify]: Simplify 1 into 1 28.481 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 28.482 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1/2) 1)) into (/ 1 (+ (sqrt 1/2) 1)) 28.484 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt 1/2) 1))) into (sqrt (/ 1 (+ (sqrt 1/2) 1))) 28.485 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 28.493 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt 1/2) 1)) (/ (* 1/4 (/ 1 (sqrt 1/2))) (+ (sqrt 1/2) 1))))) into (- (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) 28.500 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (* 2 (sqrt (/ 1 (+ (sqrt 1/2) 1))))) into (* -1/8 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))) 28.500 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 28.502 * [backup-simplify]: Simplify (* 1/2 (sqrt (/ 1 (+ (sqrt 1/2) 1)))) into (* 1/2 (sqrt (/ 1 (+ (sqrt 1/2) 1)))) 28.504 * [backup-simplify]: Simplify (* 1/2 (sqrt (/ 1 (+ (sqrt 1/2) 1)))) into (* 1/2 (sqrt (/ 1 (+ (sqrt 1/2) 1)))) 28.505 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 28.505 * [backup-simplify]: Simplify (- 1/2) into -1/2 28.506 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 28.520 * [backup-simplify]: Simplify (+ (* 1/2 (* -1/8 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2))))) (* -1/2 (sqrt (/ 1 (+ (sqrt 1/2) 1))))) into (- (+ (* 1/2 (sqrt (/ 1 (+ (sqrt 1/2) 1)))) (* 1/16 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))))) 28.536 * [backup-simplify]: Simplify (- (+ (* 1/2 (sqrt (/ 1 (+ (sqrt 1/2) 1)))) (* 1/16 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))))) into (- (+ (* 1/2 (sqrt (/ 1 (+ (sqrt 1/2) 1)))) (* 1/16 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))))) 28.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.537 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 28.537 * [backup-simplify]: Simplify (+ 0 0) into 0 28.540 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 28.541 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 28.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt 1/2) 1)) (/ (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) 1))) (* (- (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (/ (* 1/4 (/ 1 (sqrt 1/2))) (+ (sqrt 1/2) 1))))) into (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) 28.587 * [backup-simplify]: Simplify (/ (- (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) (pow (* -1/8 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))) 2) (+)) (* 2 (sqrt (/ 1 (+ (sqrt 1/2) 1))))) into (* 1/2 (* (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 3/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) (sqrt (+ (sqrt 1/2) 1)))) 28.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.588 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 28.588 * [backup-simplify]: Simplify (- 0) into 0 28.588 * [backup-simplify]: Simplify (+ 0 0) into 0 28.619 * [backup-simplify]: Simplify (+ (* 1/2 (* 1/2 (* (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 3/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) (sqrt (+ (sqrt 1/2) 1))))) (+ (* -1/2 (* -1/8 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2))))) (* 0 (sqrt (/ 1 (+ (sqrt 1/2) 1)))))) into (+ (* 1/16 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))) (+ (* 1/128 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (pow (sqrt 1/2) 3)))) (* 3/256 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 5))) (/ 1 (pow (sqrt 1/2) 2)))))) 28.649 * [backup-simplify]: Simplify (+ (* 1/16 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))) (+ (* 1/128 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (pow (sqrt 1/2) 3)))) (* 3/256 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 5))) (/ 1 (pow (sqrt 1/2) 2)))))) into (+ (* 1/16 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))) (+ (* 1/128 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (pow (sqrt 1/2) 3)))) (* 3/256 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 5))) (/ 1 (pow (sqrt 1/2) 2)))))) 28.680 * [backup-simplify]: Simplify (+ (* (+ (* 1/16 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))) (+ (* 1/128 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (pow (sqrt 1/2) 3)))) (* 3/256 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 5))) (/ 1 (pow (sqrt 1/2) 2)))))) (pow (/ 1 (- x)) 2)) (+ (* (- (+ (* 1/2 (sqrt (/ 1 (+ (sqrt 1/2) 1)))) (* 1/16 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))))) (/ 1 (- x))) (* 1/2 (sqrt (/ 1 (+ (sqrt 1/2) 1)))))) into (+ (* 3/256 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 5))))) (+ (* 1/16 (* (/ 1 (* (pow x 2) (sqrt 1/2))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))))) (+ (* 1/128 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))))) (+ (* 1/2 (sqrt (/ 1 (+ (sqrt 1/2) 1)))) (+ (* 1/16 (* (/ 1 (* x (sqrt 1/2))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))))) (* 1/2 (* (/ 1 x) (sqrt (/ 1 (+ (sqrt 1/2) 1)))))))))) 28.681 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2 1 1) 28.681 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 28.681 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 28.681 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 28.681 * [taylor]: Taking taylor expansion of 1/2 in x 28.681 * [backup-simplify]: Simplify 1/2 into 1/2 28.681 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 28.681 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 28.681 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 28.681 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.681 * [taylor]: Taking taylor expansion of 1 in x 28.681 * [backup-simplify]: Simplify 1 into 1 28.681 * [taylor]: Taking taylor expansion of 1 in x 28.681 * [backup-simplify]: Simplify 1 into 1 28.681 * [taylor]: Taking taylor expansion of (* x x) in x 28.681 * [taylor]: Taking taylor expansion of x in x 28.681 * [backup-simplify]: Simplify 0 into 0 28.681 * [backup-simplify]: Simplify 1 into 1 28.681 * [taylor]: Taking taylor expansion of x in x 28.681 * [backup-simplify]: Simplify 0 into 0 28.681 * [backup-simplify]: Simplify 1 into 1 28.682 * [backup-simplify]: Simplify (* 1 1) into 1 28.682 * [backup-simplify]: Simplify (* 0 0) into 0 28.682 * [backup-simplify]: Simplify (+ 1 0) into 1 28.683 * [backup-simplify]: Simplify (sqrt 1) into 1 28.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.684 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 28.685 * [backup-simplify]: Simplify (+ 0 0) into 0 28.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.686 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 28.686 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 28.686 * [taylor]: Taking taylor expansion of 1/2 in x 28.686 * [backup-simplify]: Simplify 1/2 into 1/2 28.686 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 28.686 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 28.686 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 28.686 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.686 * [taylor]: Taking taylor expansion of 1 in x 28.686 * [backup-simplify]: Simplify 1 into 1 28.686 * [taylor]: Taking taylor expansion of 1 in x 28.686 * [backup-simplify]: Simplify 1 into 1 28.686 * [taylor]: Taking taylor expansion of (* x x) in x 28.686 * [taylor]: Taking taylor expansion of x in x 28.686 * [backup-simplify]: Simplify 0 into 0 28.686 * [backup-simplify]: Simplify 1 into 1 28.686 * [taylor]: Taking taylor expansion of x in x 28.686 * [backup-simplify]: Simplify 0 into 0 28.686 * [backup-simplify]: Simplify 1 into 1 28.687 * [backup-simplify]: Simplify (* 1 1) into 1 28.687 * [backup-simplify]: Simplify (* 0 0) into 0 28.688 * [backup-simplify]: Simplify (+ 1 0) into 1 28.688 * [backup-simplify]: Simplify (sqrt 1) into 1 28.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.692 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 28.692 * [backup-simplify]: Simplify (+ 0 0) into 0 28.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.693 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 28.693 * [backup-simplify]: Simplify 1/2 into 1/2 28.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 28.694 * [backup-simplify]: Simplify 0 into 0 28.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.696 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 28.696 * [backup-simplify]: Simplify (+ 0 1) into 1 28.697 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 28.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 28.699 * [backup-simplify]: Simplify -1/4 into -1/4 28.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.701 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 28.701 * [backup-simplify]: Simplify (+ 0 0) into 0 28.702 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 28.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 28.704 * [backup-simplify]: Simplify 0 into 0 28.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.707 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 28.707 * [backup-simplify]: Simplify (+ 0 0) into 0 28.708 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 28.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 28.709 * [backup-simplify]: Simplify 3/16 into 3/16 28.709 * [backup-simplify]: Simplify (+ (* 3/16 (pow x 4)) (+ (* -1/4 (pow x 2)) 1/2)) into (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) 28.709 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 28.709 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 28.709 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 28.709 * [taylor]: Taking taylor expansion of 1/2 in x 28.709 * [backup-simplify]: Simplify 1/2 into 1/2 28.709 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 28.709 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 28.709 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 28.709 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.709 * [taylor]: Taking taylor expansion of 1 in x 28.709 * [backup-simplify]: Simplify 1 into 1 28.709 * [taylor]: Taking taylor expansion of 1 in x 28.709 * [backup-simplify]: Simplify 1 into 1 28.709 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 28.709 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.709 * [taylor]: Taking taylor expansion of x in x 28.709 * [backup-simplify]: Simplify 0 into 0 28.709 * [backup-simplify]: Simplify 1 into 1 28.710 * [backup-simplify]: Simplify (/ 1 1) into 1 28.710 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.710 * [taylor]: Taking taylor expansion of x in x 28.710 * [backup-simplify]: Simplify 0 into 0 28.710 * [backup-simplify]: Simplify 1 into 1 28.710 * [backup-simplify]: Simplify (/ 1 1) into 1 28.710 * [backup-simplify]: Simplify (* 1 1) into 1 28.711 * [backup-simplify]: Simplify (+ 0 1) into 1 28.711 * [backup-simplify]: Simplify (sqrt 1) into 1 28.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.712 * [backup-simplify]: Simplify (+ 0 0) into 0 28.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.713 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 28.713 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 28.713 * [taylor]: Taking taylor expansion of 1/2 in x 28.713 * [backup-simplify]: Simplify 1/2 into 1/2 28.713 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 28.713 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 28.713 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 28.713 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.713 * [taylor]: Taking taylor expansion of 1 in x 28.713 * [backup-simplify]: Simplify 1 into 1 28.713 * [taylor]: Taking taylor expansion of 1 in x 28.713 * [backup-simplify]: Simplify 1 into 1 28.713 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 28.713 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.713 * [taylor]: Taking taylor expansion of x in x 28.713 * [backup-simplify]: Simplify 0 into 0 28.713 * [backup-simplify]: Simplify 1 into 1 28.714 * [backup-simplify]: Simplify (/ 1 1) into 1 28.714 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.714 * [taylor]: Taking taylor expansion of x in x 28.714 * [backup-simplify]: Simplify 0 into 0 28.714 * [backup-simplify]: Simplify 1 into 1 28.714 * [backup-simplify]: Simplify (/ 1 1) into 1 28.714 * [backup-simplify]: Simplify (* 1 1) into 1 28.714 * [backup-simplify]: Simplify (+ 0 1) into 1 28.715 * [backup-simplify]: Simplify (sqrt 1) into 1 28.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.716 * [backup-simplify]: Simplify (+ 0 0) into 0 28.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.717 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 28.717 * [backup-simplify]: Simplify 1/2 into 1/2 28.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 28.717 * [backup-simplify]: Simplify 0 into 0 28.718 * [backup-simplify]: Simplify (* 1 1) into 1 28.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.719 * [backup-simplify]: Simplify (+ 1 0) into 1 28.720 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 28.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 28.721 * [backup-simplify]: Simplify -1/4 into -1/4 28.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.723 * [backup-simplify]: Simplify (+ 0 0) into 0 28.724 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 28.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 28.724 * [backup-simplify]: Simplify 0 into 0 28.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.727 * [backup-simplify]: Simplify (+ 0 0) into 0 28.728 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 28.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 28.729 * [backup-simplify]: Simplify 3/16 into 3/16 28.729 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 x) 5)) (+ (* -1/4 (pow (/ 1 x) 3)) (* 1/2 (/ 1 x)))) into (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) 28.729 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 28.729 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 28.729 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 28.729 * [taylor]: Taking taylor expansion of 1/2 in x 28.729 * [backup-simplify]: Simplify 1/2 into 1/2 28.729 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 28.729 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 28.729 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 28.729 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.729 * [taylor]: Taking taylor expansion of 1 in x 28.729 * [backup-simplify]: Simplify 1 into 1 28.729 * [taylor]: Taking taylor expansion of 1 in x 28.729 * [backup-simplify]: Simplify 1 into 1 28.729 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 28.729 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.729 * [taylor]: Taking taylor expansion of -1 in x 28.729 * [backup-simplify]: Simplify -1 into -1 28.729 * [taylor]: Taking taylor expansion of x in x 28.729 * [backup-simplify]: Simplify 0 into 0 28.729 * [backup-simplify]: Simplify 1 into 1 28.730 * [backup-simplify]: Simplify (/ -1 1) into -1 28.730 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.730 * [taylor]: Taking taylor expansion of -1 in x 28.730 * [backup-simplify]: Simplify -1 into -1 28.730 * [taylor]: Taking taylor expansion of x in x 28.730 * [backup-simplify]: Simplify 0 into 0 28.730 * [backup-simplify]: Simplify 1 into 1 28.730 * [backup-simplify]: Simplify (/ -1 1) into -1 28.730 * [backup-simplify]: Simplify (* -1 -1) into 1 28.731 * [backup-simplify]: Simplify (+ 0 1) into 1 28.731 * [backup-simplify]: Simplify (sqrt 1) into 1 28.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.732 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 28.733 * [backup-simplify]: Simplify (+ 0 0) into 0 28.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.733 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 28.733 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 28.733 * [taylor]: Taking taylor expansion of 1/2 in x 28.734 * [backup-simplify]: Simplify 1/2 into 1/2 28.734 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 28.734 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 28.734 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 28.734 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.734 * [taylor]: Taking taylor expansion of 1 in x 28.734 * [backup-simplify]: Simplify 1 into 1 28.734 * [taylor]: Taking taylor expansion of 1 in x 28.734 * [backup-simplify]: Simplify 1 into 1 28.734 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 28.734 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.734 * [taylor]: Taking taylor expansion of -1 in x 28.734 * [backup-simplify]: Simplify -1 into -1 28.734 * [taylor]: Taking taylor expansion of x in x 28.734 * [backup-simplify]: Simplify 0 into 0 28.734 * [backup-simplify]: Simplify 1 into 1 28.734 * [backup-simplify]: Simplify (/ -1 1) into -1 28.734 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.734 * [taylor]: Taking taylor expansion of -1 in x 28.734 * [backup-simplify]: Simplify -1 into -1 28.734 * [taylor]: Taking taylor expansion of x in x 28.734 * [backup-simplify]: Simplify 0 into 0 28.734 * [backup-simplify]: Simplify 1 into 1 28.734 * [backup-simplify]: Simplify (/ -1 1) into -1 28.735 * [backup-simplify]: Simplify (* -1 -1) into 1 28.735 * [backup-simplify]: Simplify (+ 0 1) into 1 28.735 * [backup-simplify]: Simplify (sqrt 1) into 1 28.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.737 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 28.737 * [backup-simplify]: Simplify (+ 0 0) into 0 28.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.737 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 28.738 * [backup-simplify]: Simplify 1/2 into 1/2 28.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 28.738 * [backup-simplify]: Simplify 0 into 0 28.738 * [backup-simplify]: Simplify (* 1 1) into 1 28.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.741 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 28.741 * [backup-simplify]: Simplify (+ 1 0) into 1 28.742 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 28.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 28.743 * [backup-simplify]: Simplify -1/4 into -1/4 28.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.747 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 28.748 * [backup-simplify]: Simplify (+ 0 0) into 0 28.749 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 28.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 28.751 * [backup-simplify]: Simplify 0 into 0 28.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.755 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 28.755 * [backup-simplify]: Simplify (+ 0 0) into 0 28.757 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 28.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 28.758 * [backup-simplify]: Simplify 3/16 into 3/16 28.759 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 (- x)) 5)) (+ (* -1/4 (pow (/ 1 (- x)) 3)) (* 1/2 (/ 1 (- x))))) into (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) 28.759 * * * [progress]: simplifying candidates 28.759 * * * * [progress]: [ 1 / 253 ] simplifiying candidate # 28.759 * * * * [progress]: [ 2 / 253 ] simplifiying candidate # 28.759 * * * * [progress]: [ 3 / 253 ] simplifiying candidate # 28.759 * * * * [progress]: [ 4 / 253 ] simplifiying candidate # 28.760 * [simplify]: Simplifying (- 1/2) 28.760 * * [simplify]: iters left: 2 (2 enodes) 28.762 * * [simplify]: iters left: 1 (7 enodes) 28.764 * * [simplify]: Extracting #0: cost 1 inf + 0 28.764 * * [simplify]: Extracting #1: cost 0 inf + 1 28.764 * [simplify]: Simplified to -1/2 28.764 * [simplify]: Simplified (2 1 2) to (λ (x) (* (pow (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) -1/2) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.764 * * * * [progress]: [ 5 / 253 ] simplifiying candidate # 28.764 * [simplify]: Simplifying (- 1) 28.764 * * [simplify]: iters left: 2 (2 enodes) 28.765 * * [simplify]: iters left: 1 (9 enodes) 28.767 * * [simplify]: Extracting #0: cost 1 inf + 0 28.767 * * [simplify]: Extracting #1: cost 0 inf + 1 28.767 * [simplify]: Simplified to -1 28.767 * [simplify]: Simplified (2 1 2) to (λ (x) (* (pow (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) -1) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.767 * * * * [progress]: [ 6 / 253 ] simplifiying candidate # 28.767 * [simplify]: Simplifying (- (/ 1 2)) 28.768 * * [simplify]: iters left: 4 (4 enodes) 28.770 * * [simplify]: iters left: 3 (19 enodes) 28.773 * * [simplify]: iters left: 2 (23 enodes) 28.777 * * [simplify]: Extracting #0: cost 1 inf + 0 28.777 * * [simplify]: Extracting #1: cost 0 inf + 1 28.777 * [simplify]: Simplified to -1/2 28.777 * [simplify]: Simplified (2 1 2) to (λ (x) (* (pow (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) -1/2) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.777 * * * * [progress]: [ 7 / 253 ] simplifiying candidate # 28.777 * * * * [progress]: [ 8 / 253 ] simplifiying candidate # 28.778 * * * * [progress]: [ 9 / 253 ] simplifiying candidate # 28.778 * [simplify]: Simplifying (- 0 (log (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 28.778 * * [simplify]: iters left: 6 (12 enodes) 28.781 * * [simplify]: iters left: 5 (41 enodes) 28.788 * * [simplify]: iters left: 4 (45 enodes) 28.796 * * [simplify]: iters left: 3 (47 enodes) 28.803 * * [simplify]: iters left: 2 (49 enodes) 28.809 * * [simplify]: Extracting #0: cost 1 inf + 0 28.809 * * [simplify]: Extracting #1: cost 4 inf + 0 28.810 * * [simplify]: Extracting #2: cost 5 inf + 1 28.810 * * [simplify]: Extracting #3: cost 7 inf + 1 28.810 * * [simplify]: Extracting #4: cost 10 inf + 1 28.810 * * [simplify]: Extracting #5: cost 11 inf + 2 28.810 * * [simplify]: Extracting #6: cost 14 inf + 2 28.810 * * [simplify]: Extracting #7: cost 15 inf + 3 28.810 * * [simplify]: Extracting #8: cost 17 inf + 3 28.810 * * [simplify]: Extracting #9: cost 16 inf + 4 28.810 * * [simplify]: Extracting #10: cost 13 inf + 216 28.810 * * [simplify]: Extracting #11: cost 9 inf + 768 28.810 * * [simplify]: Extracting #12: cost 5 inf + 1640 28.811 * * [simplify]: Extracting #13: cost 1 inf + 2922 28.811 * * [simplify]: Extracting #14: cost 0 inf + 3290 28.812 * [simplify]: Simplified to (- (log (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 28.812 * [simplify]: Simplified (2 1 1) to (λ (x) (* (exp (- (log (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.812 * * * * [progress]: [ 10 / 253 ] simplifiying candidate # 28.812 * [simplify]: Simplifying (- (log 1) (log (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 28.812 * * [simplify]: iters left: 6 (12 enodes) 28.816 * * [simplify]: iters left: 5 (42 enodes) 28.822 * * [simplify]: Extracting #0: cost 1 inf + 0 28.822 * * [simplify]: Extracting #1: cost 4 inf + 0 28.822 * * [simplify]: Extracting #2: cost 5 inf + 1 28.822 * * [simplify]: Extracting #3: cost 7 inf + 1 28.822 * * [simplify]: Extracting #4: cost 10 inf + 1 28.822 * * [simplify]: Extracting #5: cost 11 inf + 2 28.822 * * [simplify]: Extracting #6: cost 14 inf + 2 28.822 * * [simplify]: Extracting #7: cost 15 inf + 3 28.822 * * [simplify]: Extracting #8: cost 17 inf + 3 28.822 * * [simplify]: Extracting #9: cost 16 inf + 4 28.822 * * [simplify]: Extracting #10: cost 12 inf + 314 28.823 * * [simplify]: Extracting #11: cost 8 inf + 946 28.823 * * [simplify]: Extracting #12: cost 5 inf + 1640 28.823 * * [simplify]: Extracting #13: cost 2 inf + 2594 28.824 * * [simplify]: Extracting #14: cost 0 inf + 3290 28.824 * [simplify]: Simplified to (- (log (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 28.824 * [simplify]: Simplified (2 1 1) to (λ (x) (* (exp (- (log (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))))))) 28.825 * * * * [progress]: [ 11 / 253 ] simplifiying candidate # 28.825 * * * * [progress]: [ 12 / 253 ] simplifiying candidate # 28.825 * * * * [progress]: [ 13 / 253 ] simplifiying candidate # 28.825 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (sqrt (+ 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)))))) 28.825 * * [simplify]: iters left: 6 (14 enodes) 28.829 * * [simplify]: iters left: 5 (46 enodes) 28.836 * * [simplify]: iters left: 4 (74 enodes) 28.851 * * [simplify]: iters left: 3 (114 enodes) 28.890 * * [simplify]: iters left: 2 (189 enodes) 28.946 * * [simplify]: iters left: 1 (246 enodes) 29.018 * * [simplify]: Extracting #0: cost 1 inf + 0 29.018 * * [simplify]: Extracting #1: cost 22 inf + 0 29.018 * * [simplify]: Extracting #2: cost 46 inf + 2 29.018 * * [simplify]: Extracting #3: cost 53 inf + 5 29.018 * * [simplify]: Extracting #4: cost 55 inf + 6 29.019 * * [simplify]: Extracting #5: cost 56 inf + 7 29.019 * * [simplify]: Extracting #6: cost 58 inf + 7 29.019 * * [simplify]: Extracting #7: cost 52 inf + 536 29.021 * * [simplify]: Extracting #8: cost 24 inf + 11034 29.025 * * [simplify]: Extracting #9: cost 3 inf + 22505 29.029 * * [simplify]: Extracting #10: cost 0 inf + 24494 29.033 * * [simplify]: Extracting #11: cost 0 inf + 24454 29.038 * [simplify]: Simplified to (/ 1 (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 29.038 * [simplify]: Simplified (2 1 1) to (λ (x) (* (cbrt (/ 1 (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 29.038 * * * * [progress]: [ 14 / 253 ] simplifiying candidate # 29.038 * * * * [progress]: [ 15 / 253 ] simplifiying candidate # 29.038 * * * * [progress]: [ 16 / 253 ] simplifiying candidate # 29.038 * * * * [progress]: [ 17 / 253 ] simplifiying candidate # 29.038 * * * * [progress]: [ 18 / 253 ] simplifiying candidate # 29.038 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 29.038 * * [simplify]: iters left: 6 (14 enodes) 29.043 * * [simplify]: iters left: 5 (52 enodes) 29.051 * * [simplify]: iters left: 4 (68 enodes) 29.062 * * [simplify]: iters left: 3 (96 enodes) 29.079 * * [simplify]: iters left: 2 (101 enodes) 29.092 * * [simplify]: Extracting #0: cost 1 inf + 0 29.092 * * [simplify]: Extracting #1: cost 6 inf + 0 29.093 * * [simplify]: Extracting #2: cost 9 inf + 1 29.093 * * [simplify]: Extracting #3: cost 11 inf + 1 29.093 * * [simplify]: Extracting #4: cost 13 inf + 1 29.093 * * [simplify]: Extracting #5: cost 15 inf + 1 29.093 * * [simplify]: Extracting #6: cost 18 inf + 1 29.093 * * [simplify]: Extracting #7: cost 19 inf + 2 29.093 * * [simplify]: Extracting #8: cost 21 inf + 2 29.093 * * [simplify]: Extracting #9: cost 19 inf + 60 29.094 * * [simplify]: Extracting #10: cost 16 inf + 313 29.094 * * [simplify]: Extracting #11: cost 11 inf + 1163 29.095 * * [simplify]: Extracting #12: cost 7 inf + 2235 29.096 * * [simplify]: Extracting #13: cost 1 inf + 4503 29.098 * * [simplify]: Extracting #14: cost 0 inf + 4921 29.100 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 29.100 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* (/ (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (cbrt 1) (cbrt (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))))))) 29.101 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 29.101 * * [simplify]: iters left: 6 (12 enodes) 29.107 * * [simplify]: iters left: 5 (40 enodes) 29.115 * * [simplify]: iters left: 4 (42 enodes) 29.121 * * [simplify]: Extracting #0: cost 1 inf + 0 29.121 * * [simplify]: Extracting #1: cost 4 inf + 0 29.121 * * [simplify]: Extracting #2: cost 5 inf + 1 29.121 * * [simplify]: Extracting #3: cost 7 inf + 1 29.121 * * [simplify]: Extracting #4: cost 9 inf + 1 29.121 * * [simplify]: Extracting #5: cost 11 inf + 1 29.121 * * [simplify]: Extracting #6: cost 14 inf + 1 29.121 * * [simplify]: Extracting #7: cost 15 inf + 2 29.121 * * [simplify]: Extracting #8: cost 17 inf + 2 29.121 * * [simplify]: Extracting #9: cost 16 inf + 3 29.121 * * [simplify]: Extracting #10: cost 12 inf + 313 29.122 * * [simplify]: Extracting #11: cost 8 inf + 945 29.122 * * [simplify]: Extracting #12: cost 4 inf + 1897 29.122 * * [simplify]: Extracting #13: cost 2 inf + 2613 29.123 * * [simplify]: Extracting #14: cost 0 inf + 3329 29.123 * [simplify]: Simplified to (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 29.123 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ 1 (cbrt (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))))))) 29.123 * * * * [progress]: [ 19 / 253 ] simplifiying candidate # 29.124 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 29.124 * * [simplify]: iters left: 6 (14 enodes) 29.128 * * [simplify]: iters left: 5 (49 enodes) 29.135 * * [simplify]: iters left: 4 (51 enodes) 29.142 * * [simplify]: Extracting #0: cost 1 inf + 0 29.142 * * [simplify]: Extracting #1: cost 4 inf + 0 29.142 * * [simplify]: Extracting #2: cost 6 inf + 1 29.142 * * [simplify]: Extracting #3: cost 9 inf + 1 29.142 * * [simplify]: Extracting #4: cost 11 inf + 1 29.142 * * [simplify]: Extracting #5: cost 13 inf + 1 29.142 * * [simplify]: Extracting #6: cost 16 inf + 1 29.142 * * [simplify]: Extracting #7: cost 17 inf + 2 29.142 * * [simplify]: Extracting #8: cost 19 inf + 2 29.142 * * [simplify]: Extracting #9: cost 17 inf + 60 29.142 * * [simplify]: Extracting #10: cost 14 inf + 353 29.142 * * [simplify]: Extracting #11: cost 9 inf + 1163 29.143 * * [simplify]: Extracting #12: cost 2 inf + 3369 29.144 * * [simplify]: Extracting #13: cost 0 inf + 4085 29.145 * [simplify]: Simplified to (/ 1 (fabs (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 29.145 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* (/ 1 (fabs (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (cbrt 1) (sqrt (cbrt (+ 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))))))) 29.145 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 29.145 * * [simplify]: iters left: 6 (12 enodes) 29.152 * * [simplify]: iters left: 5 (40 enodes) 29.163 * * [simplify]: iters left: 4 (42 enodes) 29.175 * * [simplify]: Extracting #0: cost 1 inf + 0 29.175 * * [simplify]: Extracting #1: cost 4 inf + 0 29.175 * * [simplify]: Extracting #2: cost 5 inf + 1 29.175 * * [simplify]: Extracting #3: cost 7 inf + 1 29.175 * * [simplify]: Extracting #4: cost 9 inf + 1 29.175 * * [simplify]: Extracting #5: cost 11 inf + 1 29.175 * * [simplify]: Extracting #6: cost 14 inf + 1 29.175 * * [simplify]: Extracting #7: cost 15 inf + 2 29.176 * * [simplify]: Extracting #8: cost 17 inf + 2 29.176 * * [simplify]: Extracting #9: cost 16 inf + 3 29.176 * * [simplify]: Extracting #10: cost 12 inf + 313 29.176 * * [simplify]: Extracting #11: cost 8 inf + 945 29.177 * * [simplify]: Extracting #12: cost 4 inf + 1977 29.177 * * [simplify]: Extracting #13: cost 2 inf + 2693 29.178 * * [simplify]: Extracting #14: cost 0 inf + 3409 29.179 * [simplify]: Simplified to (/ 1 (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 29.179 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ 1 (sqrt (cbrt (+ 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))))))) 29.180 * * * * [progress]: [ 20 / 253 ] simplifiying candidate # 29.180 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 29.180 * * [simplify]: iters left: 6 (13 enodes) 29.187 * * [simplify]: iters left: 5 (45 enodes) 29.203 * * [simplify]: iters left: 4 (47 enodes) 29.216 * * [simplify]: Extracting #0: cost 1 inf + 0 29.217 * * [simplify]: Extracting #1: cost 4 inf + 0 29.217 * * [simplify]: Extracting #2: cost 5 inf + 1 29.217 * * [simplify]: Extracting #3: cost 7 inf + 1 29.217 * * [simplify]: Extracting #4: cost 9 inf + 1 29.217 * * [simplify]: Extracting #5: cost 11 inf + 1 29.217 * * [simplify]: Extracting #6: cost 14 inf + 1 29.217 * * [simplify]: Extracting #7: cost 15 inf + 2 29.217 * * [simplify]: Extracting #8: cost 17 inf + 2 29.217 * * [simplify]: Extracting #9: cost 15 inf + 60 29.217 * * [simplify]: Extracting #10: cost 12 inf + 353 29.218 * * [simplify]: Extracting #11: cost 8 inf + 985 29.218 * * [simplify]: Extracting #12: cost 3 inf + 2235 29.219 * * [simplify]: Extracting #13: cost 1 inf + 2831 29.220 * * [simplify]: Extracting #14: cost 0 inf + 3169 29.220 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 29.220 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (cbrt 1) (sqrt (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))))))) 29.221 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 29.221 * * [simplify]: iters left: 6 (12 enodes) 29.224 * * [simplify]: iters left: 5 (40 enodes) 29.230 * * [simplify]: iters left: 4 (42 enodes) 29.236 * * [simplify]: Extracting #0: cost 1 inf + 0 29.236 * * [simplify]: Extracting #1: cost 4 inf + 0 29.236 * * [simplify]: Extracting #2: cost 5 inf + 1 29.236 * * [simplify]: Extracting #3: cost 7 inf + 1 29.236 * * [simplify]: Extracting #4: cost 9 inf + 1 29.236 * * [simplify]: Extracting #5: cost 11 inf + 1 29.236 * * [simplify]: Extracting #6: cost 14 inf + 1 29.236 * * [simplify]: Extracting #7: cost 15 inf + 2 29.236 * * [simplify]: Extracting #8: cost 17 inf + 2 29.236 * * [simplify]: Extracting #9: cost 16 inf + 3 29.236 * * [simplify]: Extracting #10: cost 12 inf + 313 29.237 * * [simplify]: Extracting #11: cost 8 inf + 945 29.237 * * [simplify]: Extracting #12: cost 4 inf + 1897 29.237 * * [simplify]: Extracting #13: cost 2 inf + 2533 29.238 * * [simplify]: Extracting #14: cost 0 inf + 3169 29.238 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 29.238 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (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))))))) 29.238 * * * * [progress]: [ 21 / 253 ] simplifiying candidate # 29.239 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 29.239 * * [simplify]: iters left: 5 (5 enodes) 29.244 * * [simplify]: iters left: 4 (19 enodes) 29.246 * * [simplify]: iters left: 3 (21 enodes) 29.249 * * [simplify]: Extracting #0: cost 1 inf + 0 29.249 * * [simplify]: Extracting #1: cost 0 inf + 1 29.249 * [simplify]: Simplified to 1 29.249 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ (cbrt 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))))))) 29.249 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 29.249 * * [simplify]: iters left: 6 (11 enodes) 29.253 * * [simplify]: iters left: 5 (37 enodes) 29.258 * * [simplify]: iters left: 4 (39 enodes) 29.264 * * [simplify]: Extracting #0: cost 1 inf + 0 29.264 * * [simplify]: Extracting #1: cost 4 inf + 0 29.264 * * [simplify]: Extracting #2: cost 5 inf + 1 29.264 * * [simplify]: Extracting #3: cost 7 inf + 1 29.264 * * [simplify]: Extracting #4: cost 9 inf + 1 29.264 * * [simplify]: Extracting #5: cost 12 inf + 1 29.264 * * [simplify]: Extracting #6: cost 13 inf + 2 29.264 * * [simplify]: Extracting #7: cost 15 inf + 2 29.264 * * [simplify]: Extracting #8: cost 14 inf + 3 29.264 * * [simplify]: Extracting #9: cost 12 inf + 158 29.265 * * [simplify]: Extracting #10: cost 7 inf + 767 29.265 * * [simplify]: Extracting #11: cost 3 inf + 1639 29.265 * * [simplify]: Extracting #12: cost 0 inf + 2493 29.266 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 29.266 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 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))))))) 29.266 * * * * [progress]: [ 22 / 253 ] simplifiying candidate # 29.266 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 1))) 29.266 * * [simplify]: iters left: 5 (6 enodes) 29.270 * * [simplify]: iters left: 4 (22 enodes) 29.278 * * [simplify]: iters left: 3 (24 enodes) 29.283 * * [simplify]: Extracting #0: cost 1 inf + 0 29.283 * * [simplify]: Extracting #1: cost 0 inf + 1 29.283 * [simplify]: Simplified to 1 29.283 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ (cbrt 1) (sqrt (+ (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))))))) 29.283 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 29.283 * * [simplify]: iters left: 6 (12 enodes) 29.292 * * [simplify]: iters left: 5 (40 enodes) 29.305 * * [simplify]: iters left: 4 (42 enodes) 29.317 * * [simplify]: Extracting #0: cost 1 inf + 0 29.317 * * [simplify]: Extracting #1: cost 4 inf + 0 29.317 * * [simplify]: Extracting #2: cost 5 inf + 1 29.317 * * [simplify]: Extracting #3: cost 7 inf + 1 29.317 * * [simplify]: Extracting #4: cost 9 inf + 1 29.317 * * [simplify]: Extracting #5: cost 12 inf + 1 29.317 * * [simplify]: Extracting #6: cost 13 inf + 2 29.317 * * [simplify]: Extracting #7: cost 15 inf + 2 29.318 * * [simplify]: Extracting #8: cost 12 inf + 117 29.318 * * [simplify]: Extracting #9: cost 8 inf + 589 29.318 * * [simplify]: Extracting #10: cost 4 inf + 1381 29.319 * * [simplify]: Extracting #11: cost 2 inf + 1937 29.320 * * [simplify]: Extracting #12: cost 0 inf + 2493 29.320 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 29.320 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 29.321 * * * * [progress]: [ 23 / 253 ] simplifiying candidate # 29.321 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 1))) 29.321 * * [simplify]: iters left: 5 (6 enodes) 29.327 * * [simplify]: iters left: 4 (22 enodes) 29.334 * * [simplify]: iters left: 3 (24 enodes) 29.338 * * [simplify]: Extracting #0: cost 1 inf + 0 29.338 * * [simplify]: Extracting #1: cost 0 inf + 1 29.338 * [simplify]: Simplified to 1 29.339 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ (cbrt 1) (sqrt (+ (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))))))) 29.339 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 29.339 * * [simplify]: iters left: 6 (12 enodes) 29.346 * * [simplify]: iters left: 5 (40 enodes) 29.352 * * [simplify]: iters left: 4 (42 enodes) 29.358 * * [simplify]: Extracting #0: cost 1 inf + 0 29.358 * * [simplify]: Extracting #1: cost 4 inf + 0 29.358 * * [simplify]: Extracting #2: cost 5 inf + 1 29.358 * * [simplify]: Extracting #3: cost 7 inf + 1 29.358 * * [simplify]: Extracting #4: cost 9 inf + 1 29.358 * * [simplify]: Extracting #5: cost 12 inf + 1 29.358 * * [simplify]: Extracting #6: cost 13 inf + 2 29.358 * * [simplify]: Extracting #7: cost 15 inf + 2 29.359 * * [simplify]: Extracting #8: cost 12 inf + 117 29.359 * * [simplify]: Extracting #9: cost 8 inf + 589 29.359 * * [simplify]: Extracting #10: cost 4 inf + 1381 29.359 * * [simplify]: Extracting #11: cost 2 inf + 1937 29.360 * * [simplify]: Extracting #12: cost 0 inf + 2493 29.360 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 29.360 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 29.360 * * * * [progress]: [ 24 / 253 ] simplifiying candidate # 29.360 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 29.360 * * [simplify]: iters left: 5 (5 enodes) 29.366 * * [simplify]: iters left: 4 (19 enodes) 29.369 * * [simplify]: iters left: 3 (21 enodes) 29.371 * * [simplify]: Extracting #0: cost 1 inf + 0 29.371 * * [simplify]: Extracting #1: cost 0 inf + 1 29.371 * [simplify]: Simplified to 1 29.371 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ (cbrt 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))))))) 29.371 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 29.371 * * [simplify]: iters left: 6 (11 enodes) 29.378 * * [simplify]: iters left: 5 (37 enodes) 29.389 * * [simplify]: iters left: 4 (39 enodes) 29.400 * * [simplify]: Extracting #0: cost 1 inf + 0 29.400 * * [simplify]: Extracting #1: cost 4 inf + 0 29.400 * * [simplify]: Extracting #2: cost 5 inf + 1 29.400 * * [simplify]: Extracting #3: cost 7 inf + 1 29.400 * * [simplify]: Extracting #4: cost 9 inf + 1 29.400 * * [simplify]: Extracting #5: cost 12 inf + 1 29.400 * * [simplify]: Extracting #6: cost 13 inf + 2 29.401 * * [simplify]: Extracting #7: cost 15 inf + 2 29.401 * * [simplify]: Extracting #8: cost 14 inf + 3 29.401 * * [simplify]: Extracting #9: cost 12 inf + 158 29.401 * * [simplify]: Extracting #10: cost 7 inf + 767 29.402 * * [simplify]: Extracting #11: cost 3 inf + 1639 29.402 * * [simplify]: Extracting #12: cost 0 inf + 2493 29.403 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 29.403 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 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))))))) 29.403 * * * * [progress]: [ 25 / 253 ] simplifiying candidate # 29.404 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 29.404 * * [simplify]: iters left: 6 (13 enodes) 29.411 * * [simplify]: iters left: 5 (45 enodes) 29.426 * * [simplify]: iters left: 4 (47 enodes) 29.439 * * [simplify]: Extracting #0: cost 1 inf + 0 29.439 * * [simplify]: Extracting #1: cost 4 inf + 0 29.439 * * [simplify]: Extracting #2: cost 5 inf + 1 29.439 * * [simplify]: Extracting #3: cost 7 inf + 1 29.439 * * [simplify]: Extracting #4: cost 9 inf + 1 29.439 * * [simplify]: Extracting #5: cost 11 inf + 1 29.439 * * [simplify]: Extracting #6: cost 14 inf + 1 29.439 * * [simplify]: Extracting #7: cost 15 inf + 2 29.439 * * [simplify]: Extracting #8: cost 17 inf + 2 29.439 * * [simplify]: Extracting #9: cost 15 inf + 60 29.439 * * [simplify]: Extracting #10: cost 12 inf + 353 29.440 * * [simplify]: Extracting #11: cost 8 inf + 985 29.440 * * [simplify]: Extracting #12: cost 3 inf + 2235 29.440 * * [simplify]: Extracting #13: cost 1 inf + 2831 29.441 * * [simplify]: Extracting #14: cost 0 inf + 3169 29.441 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 29.441 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (cbrt 1) (sqrt (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))))))) 29.442 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 29.442 * * [simplify]: iters left: 6 (12 enodes) 29.445 * * [simplify]: iters left: 5 (40 enodes) 29.451 * * [simplify]: iters left: 4 (42 enodes) 29.457 * * [simplify]: Extracting #0: cost 1 inf + 0 29.457 * * [simplify]: Extracting #1: cost 4 inf + 0 29.457 * * [simplify]: Extracting #2: cost 5 inf + 1 29.457 * * [simplify]: Extracting #3: cost 7 inf + 1 29.457 * * [simplify]: Extracting #4: cost 9 inf + 1 29.457 * * [simplify]: Extracting #5: cost 11 inf + 1 29.457 * * [simplify]: Extracting #6: cost 14 inf + 1 29.457 * * [simplify]: Extracting #7: cost 15 inf + 2 29.457 * * [simplify]: Extracting #8: cost 17 inf + 2 29.457 * * [simplify]: Extracting #9: cost 16 inf + 3 29.457 * * [simplify]: Extracting #10: cost 12 inf + 313 29.457 * * [simplify]: Extracting #11: cost 8 inf + 945 29.458 * * [simplify]: Extracting #12: cost 4 inf + 1897 29.458 * * [simplify]: Extracting #13: cost 2 inf + 2533 29.459 * * [simplify]: Extracting #14: cost 0 inf + 3169 29.459 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 29.459 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (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))))))) 29.459 * * * * [progress]: [ 26 / 253 ] simplifiying candidate # 29.460 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 29.460 * * [simplify]: iters left: 5 (4 enodes) 29.464 * * [simplify]: iters left: 4 (14 enodes) 29.465 * * [simplify]: iters left: 3 (16 enodes) 29.467 * * [simplify]: Extracting #0: cost 1 inf + 0 29.467 * * [simplify]: Extracting #1: cost 0 inf + 1 29.467 * [simplify]: Simplified to 1 29.467 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ (cbrt 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))))))) 29.467 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 29.468 * * [simplify]: iters left: 6 (11 enodes) 29.471 * * [simplify]: iters left: 5 (37 enodes) 29.477 * * [simplify]: iters left: 4 (39 enodes) 29.488 * * [simplify]: Extracting #0: cost 1 inf + 0 29.488 * * [simplify]: Extracting #1: cost 4 inf + 0 29.488 * * [simplify]: Extracting #2: cost 5 inf + 1 29.488 * * [simplify]: Extracting #3: cost 7 inf + 1 29.488 * * [simplify]: Extracting #4: cost 9 inf + 1 29.488 * * [simplify]: Extracting #5: cost 12 inf + 1 29.488 * * [simplify]: Extracting #6: cost 13 inf + 2 29.488 * * [simplify]: Extracting #7: cost 15 inf + 2 29.488 * * [simplify]: Extracting #8: cost 14 inf + 3 29.488 * * [simplify]: Extracting #9: cost 12 inf + 158 29.489 * * [simplify]: Extracting #10: cost 7 inf + 767 29.489 * * [simplify]: Extracting #11: cost 3 inf + 1639 29.490 * * [simplify]: Extracting #12: cost 0 inf + 2493 29.491 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 29.491 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 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))))))) 29.491 * * * * [progress]: [ 27 / 253 ] simplifiying candidate # 29.491 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 29.492 * * [simplify]: iters left: 6 (13 enodes) 29.499 * * [simplify]: iters left: 5 (45 enodes) 29.513 * * [simplify]: iters left: 4 (52 enodes) 29.528 * * [simplify]: iters left: 3 (54 enodes) 29.543 * * [simplify]: Extracting #0: cost 1 inf + 0 29.543 * * [simplify]: Extracting #1: cost 7 inf + 0 29.543 * * [simplify]: Extracting #2: cost 11 inf + 1 29.543 * * [simplify]: Extracting #3: cost 13 inf + 1 29.543 * * [simplify]: Extracting #4: cost 15 inf + 1 29.543 * * [simplify]: Extracting #5: cost 17 inf + 1 29.543 * * [simplify]: Extracting #6: cost 20 inf + 1 29.543 * * [simplify]: Extracting #7: cost 21 inf + 2 29.543 * * [simplify]: Extracting #8: cost 23 inf + 2 29.544 * * [simplify]: Extracting #9: cost 20 inf + 158 29.544 * * [simplify]: Extracting #10: cost 12 inf + 1421 29.545 * * [simplify]: Extracting #11: cost 3 inf + 4503 29.547 * * [simplify]: Extracting #12: cost 0 inf + 5677 29.549 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 29.549 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* (/ (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt 1) (cbrt (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))))))) 29.550 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 29.550 * * [simplify]: iters left: 6 (12 enodes) 29.559 * * [simplify]: iters left: 5 (40 enodes) 29.570 * * [simplify]: iters left: 4 (42 enodes) 29.577 * * [simplify]: Extracting #0: cost 1 inf + 0 29.577 * * [simplify]: Extracting #1: cost 4 inf + 0 29.577 * * [simplify]: Extracting #2: cost 5 inf + 1 29.577 * * [simplify]: Extracting #3: cost 7 inf + 1 29.577 * * [simplify]: Extracting #4: cost 9 inf + 1 29.577 * * [simplify]: Extracting #5: cost 11 inf + 1 29.577 * * [simplify]: Extracting #6: cost 14 inf + 1 29.577 * * [simplify]: Extracting #7: cost 15 inf + 2 29.577 * * [simplify]: Extracting #8: cost 17 inf + 2 29.577 * * [simplify]: Extracting #9: cost 16 inf + 3 29.577 * * [simplify]: Extracting #10: cost 12 inf + 313 29.578 * * [simplify]: Extracting #11: cost 8 inf + 945 29.578 * * [simplify]: Extracting #12: cost 4 inf + 1897 29.578 * * [simplify]: Extracting #13: cost 2 inf + 2613 29.579 * * [simplify]: Extracting #14: cost 0 inf + 3329 29.579 * [simplify]: Simplified to (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 29.579 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ (sqrt 1) (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ 1 (cbrt (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))))))) 29.580 * * * * [progress]: [ 28 / 253 ] simplifiying candidate # 29.580 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 29.580 * * [simplify]: iters left: 6 (13 enodes) 29.584 * * [simplify]: iters left: 5 (44 enodes) 29.591 * * [simplify]: iters left: 4 (46 enodes) 29.597 * * [simplify]: Extracting #0: cost 1 inf + 0 29.598 * * [simplify]: Extracting #1: cost 4 inf + 0 29.598 * * [simplify]: Extracting #2: cost 6 inf + 1 29.598 * * [simplify]: Extracting #3: cost 9 inf + 1 29.598 * * [simplify]: Extracting #4: cost 11 inf + 1 29.598 * * [simplify]: Extracting #5: cost 13 inf + 1 29.598 * * [simplify]: Extracting #6: cost 16 inf + 1 29.598 * * [simplify]: Extracting #7: cost 17 inf + 2 29.598 * * [simplify]: Extracting #8: cost 19 inf + 2 29.598 * * [simplify]: Extracting #9: cost 18 inf + 3 29.598 * * [simplify]: Extracting #10: cost 15 inf + 215 29.598 * * [simplify]: Extracting #11: cost 11 inf + 767 29.598 * * [simplify]: Extracting #12: cost 6 inf + 2017 29.599 * * [simplify]: Extracting #13: cost 0 inf + 4085 29.600 * [simplify]: Simplified to (/ 1 (fabs (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 29.600 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* (/ 1 (fabs (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt 1) (sqrt (cbrt (+ 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))))))) 29.600 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 29.600 * * [simplify]: iters left: 6 (12 enodes) 29.604 * * [simplify]: iters left: 5 (40 enodes) 29.615 * * [simplify]: iters left: 4 (42 enodes) 29.627 * * [simplify]: Extracting #0: cost 1 inf + 0 29.627 * * [simplify]: Extracting #1: cost 4 inf + 0 29.627 * * [simplify]: Extracting #2: cost 5 inf + 1 29.627 * * [simplify]: Extracting #3: cost 7 inf + 1 29.627 * * [simplify]: Extracting #4: cost 9 inf + 1 29.627 * * [simplify]: Extracting #5: cost 11 inf + 1 29.627 * * [simplify]: Extracting #6: cost 14 inf + 1 29.628 * * [simplify]: Extracting #7: cost 15 inf + 2 29.628 * * [simplify]: Extracting #8: cost 17 inf + 2 29.628 * * [simplify]: Extracting #9: cost 16 inf + 3 29.628 * * [simplify]: Extracting #10: cost 12 inf + 313 29.628 * * [simplify]: Extracting #11: cost 8 inf + 945 29.629 * * [simplify]: Extracting #12: cost 4 inf + 1977 29.630 * * [simplify]: Extracting #13: cost 2 inf + 2693 29.631 * * [simplify]: Extracting #14: cost 0 inf + 3409 29.632 * [simplify]: Simplified to (/ 1 (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 29.632 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ 1 (fabs (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (cbrt (+ 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))))))) 29.632 * * * * [progress]: [ 29 / 253 ] simplifiying candidate # 29.632 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 29.633 * * [simplify]: iters left: 6 (12 enodes) 29.639 * * [simplify]: iters left: 5 (40 enodes) 29.650 * * [simplify]: iters left: 4 (42 enodes) 29.659 * * [simplify]: Extracting #0: cost 1 inf + 0 29.660 * * [simplify]: Extracting #1: cost 4 inf + 0 29.660 * * [simplify]: Extracting #2: cost 5 inf + 1 29.660 * * [simplify]: Extracting #3: cost 7 inf + 1 29.660 * * [simplify]: Extracting #4: cost 9 inf + 1 29.660 * * [simplify]: Extracting #5: cost 11 inf + 1 29.660 * * [simplify]: Extracting #6: cost 14 inf + 1 29.660 * * [simplify]: Extracting #7: cost 15 inf + 2 29.660 * * [simplify]: Extracting #8: cost 17 inf + 2 29.660 * * [simplify]: Extracting #9: cost 16 inf + 3 29.660 * * [simplify]: Extracting #10: cost 12 inf + 313 29.660 * * [simplify]: Extracting #11: cost 8 inf + 945 29.660 * * [simplify]: Extracting #12: cost 4 inf + 1897 29.661 * * [simplify]: Extracting #13: cost 2 inf + 2533 29.661 * * [simplify]: Extracting #14: cost 0 inf + 3169 29.662 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 29.662 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt 1) (sqrt (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))))))) 29.662 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 29.662 * * [simplify]: iters left: 6 (12 enodes) 29.666 * * [simplify]: iters left: 5 (40 enodes) 29.673 * * [simplify]: iters left: 4 (42 enodes) 29.680 * * [simplify]: Extracting #0: cost 1 inf + 0 29.680 * * [simplify]: Extracting #1: cost 4 inf + 0 29.680 * * [simplify]: Extracting #2: cost 5 inf + 1 29.680 * * [simplify]: Extracting #3: cost 7 inf + 1 29.680 * * [simplify]: Extracting #4: cost 9 inf + 1 29.680 * * [simplify]: Extracting #5: cost 11 inf + 1 29.680 * * [simplify]: Extracting #6: cost 14 inf + 1 29.680 * * [simplify]: Extracting #7: cost 15 inf + 2 29.680 * * [simplify]: Extracting #8: cost 17 inf + 2 29.680 * * [simplify]: Extracting #9: cost 16 inf + 3 29.680 * * [simplify]: Extracting #10: cost 12 inf + 313 29.680 * * [simplify]: Extracting #11: cost 8 inf + 945 29.681 * * [simplify]: Extracting #12: cost 4 inf + 1897 29.681 * * [simplify]: Extracting #13: cost 2 inf + 2533 29.682 * * [simplify]: Extracting #14: cost 0 inf + 3169 29.682 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 29.682 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (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))))))) 29.682 * * * * [progress]: [ 30 / 253 ] simplifiying candidate # 29.682 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 29.683 * * [simplify]: iters left: 3 (3 enodes) 29.686 * * [simplify]: iters left: 2 (9 enodes) 29.688 * * [simplify]: iters left: 1 (11 enodes) 29.691 * * [simplify]: Extracting #0: cost 1 inf + 0 29.691 * * [simplify]: Extracting #1: cost 0 inf + 1 29.691 * [simplify]: Simplified to 1 29.691 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ (sqrt 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))))))) 29.691 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 29.692 * * [simplify]: iters left: 6 (11 enodes) 29.698 * * [simplify]: iters left: 5 (37 enodes) 29.709 * * [simplify]: iters left: 4 (39 enodes) 29.716 * * [simplify]: Extracting #0: cost 1 inf + 0 29.716 * * [simplify]: Extracting #1: cost 4 inf + 0 29.716 * * [simplify]: Extracting #2: cost 5 inf + 1 29.716 * * [simplify]: Extracting #3: cost 7 inf + 1 29.716 * * [simplify]: Extracting #4: cost 9 inf + 1 29.716 * * [simplify]: Extracting #5: cost 12 inf + 1 29.716 * * [simplify]: Extracting #6: cost 13 inf + 2 29.716 * * [simplify]: Extracting #7: cost 15 inf + 2 29.716 * * [simplify]: Extracting #8: cost 14 inf + 3 29.716 * * [simplify]: Extracting #9: cost 12 inf + 158 29.717 * * [simplify]: Extracting #10: cost 7 inf + 767 29.717 * * [simplify]: Extracting #11: cost 3 inf + 1639 29.717 * * [simplify]: Extracting #12: cost 0 inf + 2493 29.718 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 29.718 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 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))))))) 29.718 * * * * [progress]: [ 31 / 253 ] simplifiying candidate # 29.718 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt 1))) 29.718 * * [simplify]: iters left: 4 (4 enodes) 29.720 * * [simplify]: iters left: 3 (14 enodes) 29.722 * * [simplify]: iters left: 2 (16 enodes) 29.724 * * [simplify]: Extracting #0: cost 1 inf + 0 29.724 * * [simplify]: Extracting #1: cost 0 inf + 1 29.724 * [simplify]: Simplified to 1 29.724 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ (sqrt 1) (sqrt (+ (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))))))) 29.724 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 29.724 * * [simplify]: iters left: 6 (11 enodes) 29.728 * * [simplify]: iters left: 5 (37 enodes) 29.733 * * [simplify]: iters left: 4 (39 enodes) 29.739 * * [simplify]: Extracting #0: cost 1 inf + 0 29.739 * * [simplify]: Extracting #1: cost 4 inf + 0 29.739 * * [simplify]: Extracting #2: cost 5 inf + 1 29.739 * * [simplify]: Extracting #3: cost 7 inf + 1 29.739 * * [simplify]: Extracting #4: cost 9 inf + 1 29.739 * * [simplify]: Extracting #5: cost 12 inf + 1 29.739 * * [simplify]: Extracting #6: cost 13 inf + 2 29.739 * * [simplify]: Extracting #7: cost 15 inf + 2 29.739 * * [simplify]: Extracting #8: cost 14 inf + 3 29.739 * * [simplify]: Extracting #9: cost 12 inf + 158 29.739 * * [simplify]: Extracting #10: cost 7 inf + 767 29.740 * * [simplify]: Extracting #11: cost 3 inf + 1639 29.740 * * [simplify]: Extracting #12: cost 0 inf + 2493 29.740 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 29.740 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 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))))))) 29.741 * * * * [progress]: [ 32 / 253 ] simplifiying candidate # 29.741 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt 1))) 29.741 * * [simplify]: iters left: 4 (4 enodes) 29.743 * * [simplify]: iters left: 3 (14 enodes) 29.745 * * [simplify]: iters left: 2 (16 enodes) 29.749 * * [simplify]: Extracting #0: cost 1 inf + 0 29.749 * * [simplify]: Extracting #1: cost 0 inf + 1 29.749 * [simplify]: Simplified to 1 29.749 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ (sqrt 1) (sqrt (+ (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))))))) 29.750 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 29.750 * * [simplify]: iters left: 6 (11 enodes) 29.757 * * [simplify]: iters left: 5 (37 enodes) 29.767 * * [simplify]: iters left: 4 (39 enodes) 29.775 * * [simplify]: Extracting #0: cost 1 inf + 0 29.775 * * [simplify]: Extracting #1: cost 4 inf + 0 29.775 * * [simplify]: Extracting #2: cost 5 inf + 1 29.775 * * [simplify]: Extracting #3: cost 7 inf + 1 29.775 * * [simplify]: Extracting #4: cost 9 inf + 1 29.775 * * [simplify]: Extracting #5: cost 12 inf + 1 29.775 * * [simplify]: Extracting #6: cost 13 inf + 2 29.776 * * [simplify]: Extracting #7: cost 15 inf + 2 29.776 * * [simplify]: Extracting #8: cost 14 inf + 3 29.776 * * [simplify]: Extracting #9: cost 12 inf + 158 29.776 * * [simplify]: Extracting #10: cost 7 inf + 767 29.776 * * [simplify]: Extracting #11: cost 3 inf + 1639 29.777 * * [simplify]: Extracting #12: cost 0 inf + 2493 29.777 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 29.777 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 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))))))) 29.777 * * * * [progress]: [ 33 / 253 ] simplifiying candidate # 29.777 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 29.777 * * [simplify]: iters left: 3 (3 enodes) 29.779 * * [simplify]: iters left: 2 (9 enodes) 29.783 * * [simplify]: iters left: 1 (11 enodes) 29.784 * * [simplify]: Extracting #0: cost 1 inf + 0 29.784 * * [simplify]: Extracting #1: cost 0 inf + 1 29.784 * [simplify]: Simplified to 1 29.784 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ (sqrt 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))))))) 29.785 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 29.785 * * [simplify]: iters left: 6 (11 enodes) 29.788 * * [simplify]: iters left: 5 (37 enodes) 29.794 * * [simplify]: iters left: 4 (39 enodes) 29.800 * * [simplify]: Extracting #0: cost 1 inf + 0 29.800 * * [simplify]: Extracting #1: cost 4 inf + 0 29.800 * * [simplify]: Extracting #2: cost 5 inf + 1 29.800 * * [simplify]: Extracting #3: cost 7 inf + 1 29.800 * * [simplify]: Extracting #4: cost 9 inf + 1 29.800 * * [simplify]: Extracting #5: cost 12 inf + 1 29.800 * * [simplify]: Extracting #6: cost 13 inf + 2 29.800 * * [simplify]: Extracting #7: cost 15 inf + 2 29.800 * * [simplify]: Extracting #8: cost 14 inf + 3 29.800 * * [simplify]: Extracting #9: cost 12 inf + 158 29.800 * * [simplify]: Extracting #10: cost 7 inf + 767 29.801 * * [simplify]: Extracting #11: cost 3 inf + 1639 29.801 * * [simplify]: Extracting #12: cost 0 inf + 2493 29.801 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 29.801 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 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))))))) 29.801 * * * * [progress]: [ 34 / 253 ] simplifiying candidate # 29.802 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 29.802 * * [simplify]: iters left: 6 (12 enodes) 29.806 * * [simplify]: iters left: 5 (40 enodes) 29.818 * * [simplify]: iters left: 4 (42 enodes) 29.829 * * [simplify]: Extracting #0: cost 1 inf + 0 29.829 * * [simplify]: Extracting #1: cost 4 inf + 0 29.829 * * [simplify]: Extracting #2: cost 5 inf + 1 29.829 * * [simplify]: Extracting #3: cost 7 inf + 1 29.829 * * [simplify]: Extracting #4: cost 9 inf + 1 29.829 * * [simplify]: Extracting #5: cost 11 inf + 1 29.830 * * [simplify]: Extracting #6: cost 14 inf + 1 29.830 * * [simplify]: Extracting #7: cost 15 inf + 2 29.830 * * [simplify]: Extracting #8: cost 17 inf + 2 29.830 * * [simplify]: Extracting #9: cost 16 inf + 3 29.830 * * [simplify]: Extracting #10: cost 12 inf + 313 29.830 * * [simplify]: Extracting #11: cost 8 inf + 945 29.830 * * [simplify]: Extracting #12: cost 4 inf + 1897 29.831 * * [simplify]: Extracting #13: cost 2 inf + 2533 29.831 * * [simplify]: Extracting #14: cost 0 inf + 3169 29.832 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 29.832 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt 1) (sqrt (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))))))) 29.832 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 29.832 * * [simplify]: iters left: 6 (12 enodes) 29.836 * * [simplify]: iters left: 5 (40 enodes) 29.842 * * [simplify]: iters left: 4 (42 enodes) 29.848 * * [simplify]: Extracting #0: cost 1 inf + 0 29.848 * * [simplify]: Extracting #1: cost 4 inf + 0 29.848 * * [simplify]: Extracting #2: cost 5 inf + 1 29.848 * * [simplify]: Extracting #3: cost 7 inf + 1 29.848 * * [simplify]: Extracting #4: cost 9 inf + 1 29.848 * * [simplify]: Extracting #5: cost 11 inf + 1 29.848 * * [simplify]: Extracting #6: cost 14 inf + 1 29.848 * * [simplify]: Extracting #7: cost 15 inf + 2 29.848 * * [simplify]: Extracting #8: cost 17 inf + 2 29.848 * * [simplify]: Extracting #9: cost 16 inf + 3 29.848 * * [simplify]: Extracting #10: cost 12 inf + 313 29.849 * * [simplify]: Extracting #11: cost 8 inf + 945 29.849 * * [simplify]: Extracting #12: cost 4 inf + 1897 29.849 * * [simplify]: Extracting #13: cost 2 inf + 2533 29.850 * * [simplify]: Extracting #14: cost 0 inf + 3169 29.850 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 29.850 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (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))))))) 29.850 * * * * [progress]: [ 35 / 253 ] simplifiying candidate # 29.851 * [simplify]: Simplifying (/ (sqrt 1) 1) 29.851 * * [simplify]: iters left: 3 (3 enodes) 29.853 * * [simplify]: iters left: 2 (9 enodes) 29.854 * * [simplify]: iters left: 1 (11 enodes) 29.856 * * [simplify]: Extracting #0: cost 1 inf + 0 29.856 * * [simplify]: Extracting #1: cost 0 inf + 1 29.856 * [simplify]: Simplified to 1 29.857 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ (sqrt 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))))))) 29.857 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 29.857 * * [simplify]: iters left: 6 (11 enodes) 29.864 * * [simplify]: iters left: 5 (37 enodes) 29.874 * * [simplify]: iters left: 4 (39 enodes) 29.886 * * [simplify]: Extracting #0: cost 1 inf + 0 29.886 * * [simplify]: Extracting #1: cost 4 inf + 0 29.886 * * [simplify]: Extracting #2: cost 5 inf + 1 29.886 * * [simplify]: Extracting #3: cost 7 inf + 1 29.886 * * [simplify]: Extracting #4: cost 9 inf + 1 29.886 * * [simplify]: Extracting #5: cost 12 inf + 1 29.886 * * [simplify]: Extracting #6: cost 13 inf + 2 29.886 * * [simplify]: Extracting #7: cost 15 inf + 2 29.886 * * [simplify]: Extracting #8: cost 14 inf + 3 29.886 * * [simplify]: Extracting #9: cost 12 inf + 158 29.887 * * [simplify]: Extracting #10: cost 7 inf + 767 29.887 * * [simplify]: Extracting #11: cost 3 inf + 1639 29.888 * * [simplify]: Extracting #12: cost 0 inf + 2493 29.889 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 29.889 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 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))))))) 29.889 * * * * [progress]: [ 36 / 253 ] simplifiying candidate # 29.889 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 29.889 * * [simplify]: iters left: 6 (12 enodes) 29.898 * * [simplify]: iters left: 5 (42 enodes) 29.907 * * [simplify]: iters left: 4 (46 enodes) 29.914 * * [simplify]: Extracting #0: cost 1 inf + 0 29.914 * * [simplify]: Extracting #1: cost 6 inf + 0 29.914 * * [simplify]: Extracting #2: cost 9 inf + 1 29.914 * * [simplify]: Extracting #3: cost 11 inf + 1 29.914 * * [simplify]: Extracting #4: cost 13 inf + 1 29.914 * * [simplify]: Extracting #5: cost 15 inf + 1 29.914 * * [simplify]: Extracting #6: cost 18 inf + 1 29.914 * * [simplify]: Extracting #7: cost 19 inf + 2 29.914 * * [simplify]: Extracting #8: cost 21 inf + 2 29.915 * * [simplify]: Extracting #9: cost 18 inf + 117 29.915 * * [simplify]: Extracting #10: cost 15 inf + 451 29.915 * * [simplify]: Extracting #11: cost 10 inf + 1381 29.915 * * [simplify]: Extracting #12: cost 6 inf + 2573 29.916 * * [simplify]: Extracting #13: cost 3 inf + 3747 29.917 * * [simplify]: Extracting #14: cost 0 inf + 4921 29.917 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 29.917 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* (/ (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ 1 (cbrt (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))))))) 29.918 * [simplify]: Simplifying (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 29.918 * * [simplify]: iters left: 6 (11 enodes) 29.921 * * [simplify]: iters left: 5 (37 enodes) 29.926 * * [simplify]: iters left: 4 (39 enodes) 29.932 * * [simplify]: Extracting #0: cost 1 inf + 0 29.932 * * [simplify]: Extracting #1: cost 4 inf + 0 29.932 * * [simplify]: Extracting #2: cost 5 inf + 1 29.932 * * [simplify]: Extracting #3: cost 7 inf + 1 29.933 * * [simplify]: Extracting #4: cost 9 inf + 1 29.933 * * [simplify]: Extracting #5: cost 11 inf + 1 29.933 * * [simplify]: Extracting #6: cost 14 inf + 1 29.933 * * [simplify]: Extracting #7: cost 15 inf + 2 29.933 * * [simplify]: Extracting #8: cost 17 inf + 2 29.933 * * [simplify]: Extracting #9: cost 15 inf + 60 29.933 * * [simplify]: Extracting #10: cost 12 inf + 353 29.933 * * [simplify]: Extracting #11: cost 7 inf + 1163 29.933 * * [simplify]: Extracting #12: cost 3 inf + 2235 29.934 * * [simplify]: Extracting #13: cost 0 inf + 3329 29.934 * [simplify]: Simplified to (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 29.934 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ 1 (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 29.934 * * * * [progress]: [ 37 / 253 ] simplifiying candidate # 29.935 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 29.935 * * [simplify]: iters left: 6 (12 enodes) 29.938 * * [simplify]: iters left: 5 (41 enodes) 29.949 * * [simplify]: iters left: 4 (43 enodes) 29.961 * * [simplify]: Extracting #0: cost 1 inf + 0 29.961 * * [simplify]: Extracting #1: cost 4 inf + 0 29.961 * * [simplify]: Extracting #2: cost 6 inf + 1 29.961 * * [simplify]: Extracting #3: cost 9 inf + 1 29.961 * * [simplify]: Extracting #4: cost 11 inf + 1 29.962 * * [simplify]: Extracting #5: cost 13 inf + 1 29.962 * * [simplify]: Extracting #6: cost 16 inf + 1 29.962 * * [simplify]: Extracting #7: cost 17 inf + 2 29.962 * * [simplify]: Extracting #8: cost 19 inf + 2 29.962 * * [simplify]: Extracting #9: cost 17 inf + 60 29.962 * * [simplify]: Extracting #10: cost 13 inf + 451 29.963 * * [simplify]: Extracting #11: cost 9 inf + 1163 29.963 * * [simplify]: Extracting #12: cost 2 inf + 3369 29.965 * * [simplify]: Extracting #13: cost 0 inf + 4085 29.966 * [simplify]: Simplified to (/ 1 (fabs (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 29.966 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* (/ 1 (fabs (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ 1 (sqrt (cbrt (+ 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))))))) 29.966 * [simplify]: Simplifying (/ 1 (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 29.966 * * [simplify]: iters left: 6 (11 enodes) 29.972 * * [simplify]: iters left: 5 (37 enodes) 29.983 * * [simplify]: iters left: 4 (39 enodes) 29.994 * * [simplify]: Extracting #0: cost 1 inf + 0 29.994 * * [simplify]: Extracting #1: cost 4 inf + 0 29.994 * * [simplify]: Extracting #2: cost 5 inf + 1 29.994 * * [simplify]: Extracting #3: cost 7 inf + 1 29.994 * * [simplify]: Extracting #4: cost 9 inf + 1 29.994 * * [simplify]: Extracting #5: cost 11 inf + 1 29.994 * * [simplify]: Extracting #6: cost 14 inf + 1 29.994 * * [simplify]: Extracting #7: cost 15 inf + 2 29.994 * * [simplify]: Extracting #8: cost 17 inf + 2 29.994 * * [simplify]: Extracting #9: cost 15 inf + 60 29.995 * * [simplify]: Extracting #10: cost 12 inf + 353 29.995 * * [simplify]: Extracting #11: cost 7 inf + 1163 29.995 * * [simplify]: Extracting #12: cost 3 inf + 2315 29.996 * * [simplify]: Extracting #13: cost 0 inf + 3409 29.996 * [simplify]: Simplified to (/ 1 (sqrt (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 29.996 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ 1 (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ 1 (sqrt (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 29.997 * * * * [progress]: [ 38 / 253 ] simplifiying candidate # 29.997 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 29.997 * * [simplify]: iters left: 6 (11 enodes) 29.999 * * [simplify]: iters left: 5 (37 enodes) 30.005 * * [simplify]: iters left: 4 (39 enodes) 30.012 * * [simplify]: Extracting #0: cost 1 inf + 0 30.012 * * [simplify]: Extracting #1: cost 4 inf + 0 30.012 * * [simplify]: Extracting #2: cost 5 inf + 1 30.012 * * [simplify]: Extracting #3: cost 7 inf + 1 30.012 * * [simplify]: Extracting #4: cost 9 inf + 1 30.012 * * [simplify]: Extracting #5: cost 11 inf + 1 30.012 * * [simplify]: Extracting #6: cost 14 inf + 1 30.012 * * [simplify]: Extracting #7: cost 15 inf + 2 30.012 * * [simplify]: Extracting #8: cost 17 inf + 2 30.012 * * [simplify]: Extracting #9: cost 15 inf + 60 30.012 * * [simplify]: Extracting #10: cost 12 inf + 353 30.013 * * [simplify]: Extracting #11: cost 7 inf + 1163 30.013 * * [simplify]: Extracting #12: cost 3 inf + 2195 30.013 * * [simplify]: Extracting #13: cost 0 inf + 3169 30.014 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 30.014 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ 1 (sqrt (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))))))) 30.014 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 30.014 * * [simplify]: iters left: 6 (11 enodes) 30.017 * * [simplify]: iters left: 5 (37 enodes) 30.022 * * [simplify]: iters left: 4 (39 enodes) 30.033 * * [simplify]: Extracting #0: cost 1 inf + 0 30.033 * * [simplify]: Extracting #1: cost 4 inf + 0 30.033 * * [simplify]: Extracting #2: cost 5 inf + 1 30.033 * * [simplify]: Extracting #3: cost 7 inf + 1 30.033 * * [simplify]: Extracting #4: cost 9 inf + 1 30.034 * * [simplify]: Extracting #5: cost 11 inf + 1 30.034 * * [simplify]: Extracting #6: cost 14 inf + 1 30.034 * * [simplify]: Extracting #7: cost 15 inf + 2 30.034 * * [simplify]: Extracting #8: cost 17 inf + 2 30.034 * * [simplify]: Extracting #9: cost 15 inf + 60 30.034 * * [simplify]: Extracting #10: cost 12 inf + 353 30.034 * * [simplify]: Extracting #11: cost 7 inf + 1163 30.035 * * [simplify]: Extracting #12: cost 3 inf + 2195 30.036 * * [simplify]: Extracting #13: cost 0 inf + 3169 30.037 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 30.037 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 30.037 * * * * [progress]: [ 39 / 253 ] simplifiying candidate # 30.038 * [simplify]: Simplifying (/ 1 (sqrt 1)) 30.038 * * [simplify]: iters left: 3 (3 enodes) 30.043 * * [simplify]: iters left: 2 (11 enodes) 30.046 * * [simplify]: iters left: 1 (13 enodes) 30.049 * * [simplify]: Extracting #0: cost 1 inf + 0 30.049 * * [simplify]: Extracting #1: cost 0 inf + 1 30.049 * [simplify]: Simplified to 1 30.049 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ 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))))))) 30.049 * [simplify]: Simplifying (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 30.050 * * [simplify]: iters left: 6 (10 enodes) 30.055 * * [simplify]: iters left: 5 (34 enodes) 30.064 * * [simplify]: iters left: 4 (36 enodes) 30.069 * * [simplify]: Extracting #0: cost 1 inf + 0 30.069 * * [simplify]: Extracting #1: cost 4 inf + 0 30.069 * * [simplify]: Extracting #2: cost 5 inf + 1 30.069 * * [simplify]: Extracting #3: cost 7 inf + 1 30.069 * * [simplify]: Extracting #4: cost 9 inf + 1 30.069 * * [simplify]: Extracting #5: cost 12 inf + 1 30.069 * * [simplify]: Extracting #6: cost 13 inf + 2 30.069 * * [simplify]: Extracting #7: cost 15 inf + 2 30.069 * * [simplify]: Extracting #8: cost 13 inf + 60 30.070 * * [simplify]: Extracting #9: cost 9 inf + 451 30.070 * * [simplify]: Extracting #10: cost 4 inf + 1381 30.070 * * [simplify]: Extracting #11: cost 0 inf + 2493 30.071 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 30.071 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 30.071 * * * * [progress]: [ 40 / 253 ] simplifiying candidate # 30.071 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 1))) 30.071 * * [simplify]: iters left: 4 (4 enodes) 30.073 * * [simplify]: iters left: 3 (14 enodes) 30.074 * * [simplify]: iters left: 2 (16 enodes) 30.076 * * [simplify]: Extracting #0: cost 1 inf + 0 30.076 * * [simplify]: Extracting #1: cost 0 inf + 1 30.076 * [simplify]: Simplified to 1 30.077 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ 1 (sqrt (+ (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))))))) 30.077 * [simplify]: Simplifying (/ 1 (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 30.077 * * [simplify]: iters left: 6 (11 enodes) 30.080 * * [simplify]: iters left: 5 (37 enodes) 30.086 * * [simplify]: iters left: 4 (39 enodes) 30.091 * * [simplify]: Extracting #0: cost 1 inf + 0 30.091 * * [simplify]: Extracting #1: cost 4 inf + 0 30.091 * * [simplify]: Extracting #2: cost 5 inf + 1 30.091 * * [simplify]: Extracting #3: cost 7 inf + 1 30.091 * * [simplify]: Extracting #4: cost 9 inf + 1 30.091 * * [simplify]: Extracting #5: cost 12 inf + 1 30.092 * * [simplify]: Extracting #6: cost 13 inf + 2 30.092 * * [simplify]: Extracting #7: cost 15 inf + 2 30.092 * * [simplify]: Extracting #8: cost 14 inf + 3 30.092 * * [simplify]: Extracting #9: cost 12 inf + 158 30.092 * * [simplify]: Extracting #10: cost 7 inf + 767 30.093 * * [simplify]: Extracting #11: cost 3 inf + 1639 30.093 * * [simplify]: Extracting #12: cost 0 inf + 2493 30.094 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 30.094 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 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))))))) 30.094 * * * * [progress]: [ 41 / 253 ] simplifiying candidate # 30.095 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 1))) 30.095 * * [simplify]: iters left: 4 (4 enodes) 30.098 * * [simplify]: iters left: 3 (14 enodes) 30.101 * * [simplify]: iters left: 2 (16 enodes) 30.105 * * [simplify]: Extracting #0: cost 1 inf + 0 30.105 * * [simplify]: Extracting #1: cost 0 inf + 1 30.105 * [simplify]: Simplified to 1 30.105 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ 1 (sqrt (+ (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))))))) 30.105 * [simplify]: Simplifying (/ 1 (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 30.105 * * [simplify]: iters left: 6 (11 enodes) 30.112 * * [simplify]: iters left: 5 (37 enodes) 30.125 * * [simplify]: iters left: 4 (39 enodes) 30.138 * * [simplify]: Extracting #0: cost 1 inf + 0 30.138 * * [simplify]: Extracting #1: cost 4 inf + 0 30.138 * * [simplify]: Extracting #2: cost 5 inf + 1 30.138 * * [simplify]: Extracting #3: cost 7 inf + 1 30.138 * * [simplify]: Extracting #4: cost 9 inf + 1 30.138 * * [simplify]: Extracting #5: cost 12 inf + 1 30.138 * * [simplify]: Extracting #6: cost 13 inf + 2 30.138 * * [simplify]: Extracting #7: cost 15 inf + 2 30.138 * * [simplify]: Extracting #8: cost 14 inf + 3 30.138 * * [simplify]: Extracting #9: cost 12 inf + 158 30.139 * * [simplify]: Extracting #10: cost 7 inf + 767 30.139 * * [simplify]: Extracting #11: cost 3 inf + 1639 30.140 * * [simplify]: Extracting #12: cost 0 inf + 2493 30.141 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 30.141 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 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))))))) 30.141 * * * * [progress]: [ 42 / 253 ] simplifiying candidate # 30.141 * [simplify]: Simplifying (/ 1 (sqrt 1)) 30.141 * * [simplify]: iters left: 3 (3 enodes) 30.147 * * [simplify]: iters left: 2 (11 enodes) 30.150 * * [simplify]: iters left: 1 (13 enodes) 30.153 * * [simplify]: Extracting #0: cost 1 inf + 0 30.153 * * [simplify]: Extracting #1: cost 0 inf + 1 30.153 * [simplify]: Simplified to 1 30.153 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ 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))))))) 30.153 * [simplify]: Simplifying (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 30.153 * * [simplify]: iters left: 6 (10 enodes) 30.156 * * [simplify]: iters left: 5 (34 enodes) 30.161 * * [simplify]: iters left: 4 (36 enodes) 30.166 * * [simplify]: Extracting #0: cost 1 inf + 0 30.166 * * [simplify]: Extracting #1: cost 4 inf + 0 30.166 * * [simplify]: Extracting #2: cost 5 inf + 1 30.166 * * [simplify]: Extracting #3: cost 7 inf + 1 30.167 * * [simplify]: Extracting #4: cost 9 inf + 1 30.167 * * [simplify]: Extracting #5: cost 12 inf + 1 30.167 * * [simplify]: Extracting #6: cost 13 inf + 2 30.167 * * [simplify]: Extracting #7: cost 15 inf + 2 30.167 * * [simplify]: Extracting #8: cost 13 inf + 60 30.167 * * [simplify]: Extracting #9: cost 9 inf + 451 30.167 * * [simplify]: Extracting #10: cost 4 inf + 1381 30.167 * * [simplify]: Extracting #11: cost 0 inf + 2493 30.168 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 30.168 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 30.168 * * * * [progress]: [ 43 / 253 ] simplifiying candidate # 30.168 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 30.168 * * [simplify]: iters left: 6 (11 enodes) 30.171 * * [simplify]: iters left: 5 (37 enodes) 30.177 * * [simplify]: iters left: 4 (39 enodes) 30.186 * * [simplify]: Extracting #0: cost 1 inf + 0 30.186 * * [simplify]: Extracting #1: cost 4 inf + 0 30.186 * * [simplify]: Extracting #2: cost 5 inf + 1 30.186 * * [simplify]: Extracting #3: cost 7 inf + 1 30.186 * * [simplify]: Extracting #4: cost 9 inf + 1 30.187 * * [simplify]: Extracting #5: cost 11 inf + 1 30.187 * * [simplify]: Extracting #6: cost 14 inf + 1 30.187 * * [simplify]: Extracting #7: cost 15 inf + 2 30.187 * * [simplify]: Extracting #8: cost 17 inf + 2 30.187 * * [simplify]: Extracting #9: cost 15 inf + 60 30.187 * * [simplify]: Extracting #10: cost 12 inf + 353 30.188 * * [simplify]: Extracting #11: cost 7 inf + 1163 30.188 * * [simplify]: Extracting #12: cost 3 inf + 2195 30.189 * * [simplify]: Extracting #13: cost 0 inf + 3169 30.190 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 30.190 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ 1 (sqrt (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))))))) 30.191 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 30.191 * * [simplify]: iters left: 6 (11 enodes) 30.196 * * [simplify]: iters left: 5 (37 enodes) 30.207 * * [simplify]: iters left: 4 (39 enodes) 30.219 * * [simplify]: Extracting #0: cost 1 inf + 0 30.219 * * [simplify]: Extracting #1: cost 4 inf + 0 30.219 * * [simplify]: Extracting #2: cost 5 inf + 1 30.219 * * [simplify]: Extracting #3: cost 7 inf + 1 30.219 * * [simplify]: Extracting #4: cost 9 inf + 1 30.219 * * [simplify]: Extracting #5: cost 11 inf + 1 30.219 * * [simplify]: Extracting #6: cost 14 inf + 1 30.219 * * [simplify]: Extracting #7: cost 15 inf + 2 30.219 * * [simplify]: Extracting #8: cost 17 inf + 2 30.219 * * [simplify]: Extracting #9: cost 15 inf + 60 30.220 * * [simplify]: Extracting #10: cost 12 inf + 353 30.220 * * [simplify]: Extracting #11: cost 7 inf + 1163 30.221 * * [simplify]: Extracting #12: cost 3 inf + 2195 30.222 * * [simplify]: Extracting #13: cost 0 inf + 3169 30.222 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 30.222 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 30.223 * * * * [progress]: [ 44 / 253 ] simplifiying candidate # 30.223 * [simplify]: Simplifying (/ 1 1) 30.223 * * [simplify]: iters left: 2 (2 enodes) 30.225 * * [simplify]: iters left: 1 (6 enodes) 30.227 * * [simplify]: Extracting #0: cost 1 inf + 0 30.227 * * [simplify]: Extracting #1: cost 0 inf + 1 30.227 * [simplify]: Simplified to 1 30.227 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ 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))))))) 30.227 * [simplify]: Simplifying (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 30.227 * * [simplify]: iters left: 6 (10 enodes) 30.232 * * [simplify]: iters left: 5 (34 enodes) 30.243 * * [simplify]: iters left: 4 (36 enodes) 30.248 * * [simplify]: Extracting #0: cost 1 inf + 0 30.248 * * [simplify]: Extracting #1: cost 4 inf + 0 30.248 * * [simplify]: Extracting #2: cost 5 inf + 1 30.248 * * [simplify]: Extracting #3: cost 7 inf + 1 30.249 * * [simplify]: Extracting #4: cost 9 inf + 1 30.249 * * [simplify]: Extracting #5: cost 12 inf + 1 30.249 * * [simplify]: Extracting #6: cost 13 inf + 2 30.249 * * [simplify]: Extracting #7: cost 15 inf + 2 30.249 * * [simplify]: Extracting #8: cost 13 inf + 60 30.249 * * [simplify]: Extracting #9: cost 9 inf + 451 30.251 * * [simplify]: Extracting #10: cost 4 inf + 1381 30.251 * * [simplify]: Extracting #11: cost 0 inf + 2493 30.251 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 30.251 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 30.252 * * * * [progress]: [ 45 / 253 ] simplifiying candidate # 30.252 * * * * [progress]: [ 46 / 253 ] simplifiying candidate # 30.252 * * * * [progress]: [ 47 / 253 ] simplifiying candidate # 30.252 * * * * [progress]: [ 48 / 253 ] simplifiying candidate # 30.252 * [simplify]: Simplifying (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 30.252 * * [simplify]: iters left: 6 (10 enodes) 30.255 * * [simplify]: iters left: 5 (34 enodes) 30.260 * * [simplify]: iters left: 4 (36 enodes) 30.265 * * [simplify]: Extracting #0: cost 1 inf + 0 30.265 * * [simplify]: Extracting #1: cost 3 inf + 0 30.265 * * [simplify]: Extracting #2: cost 5 inf + 0 30.265 * * [simplify]: Extracting #3: cost 8 inf + 0 30.265 * * [simplify]: Extracting #4: cost 9 inf + 1 30.265 * * [simplify]: Extracting #5: cost 12 inf + 1 30.265 * * [simplify]: Extracting #6: cost 13 inf + 2 30.265 * * [simplify]: Extracting #7: cost 15 inf + 2 30.265 * * [simplify]: Extracting #8: cost 13 inf + 60 30.265 * * [simplify]: Extracting #9: cost 9 inf + 451 30.266 * * [simplify]: Extracting #10: cost 4 inf + 1381 30.266 * * [simplify]: Extracting #11: cost 0 inf + 2573 30.266 * [simplify]: Simplified to (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 30.266 * [simplify]: Simplified (2 1 2) to (λ (x) (* (/ (/ 1 (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 30.267 * * * * [progress]: [ 49 / 253 ] simplifiying candidate # 30.267 * [simplify]: Simplifying (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 30.267 * * [simplify]: iters left: 6 (10 enodes) 30.269 * * [simplify]: iters left: 5 (34 enodes) 30.277 * * [simplify]: iters left: 4 (36 enodes) 30.282 * * [simplify]: Extracting #0: cost 1 inf + 0 30.282 * * [simplify]: Extracting #1: cost 3 inf + 0 30.282 * * [simplify]: Extracting #2: cost 5 inf + 0 30.283 * * [simplify]: Extracting #3: cost 8 inf + 0 30.283 * * [simplify]: Extracting #4: cost 9 inf + 1 30.283 * * [simplify]: Extracting #5: cost 12 inf + 1 30.283 * * [simplify]: Extracting #6: cost 13 inf + 2 30.283 * * [simplify]: Extracting #7: cost 15 inf + 2 30.283 * * [simplify]: Extracting #8: cost 13 inf + 60 30.283 * * [simplify]: Extracting #9: cost 9 inf + 451 30.283 * * [simplify]: Extracting #10: cost 4 inf + 1381 30.283 * * [simplify]: Extracting #11: cost 0 inf + 2653 30.284 * [simplify]: Simplified to (sqrt (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 30.284 * [simplify]: Simplified (2 1 2) to (λ (x) (* (/ (/ 1 (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (sqrt (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 30.284 * * * * [progress]: [ 50 / 253 ] simplifiying candidate # 30.284 * [simplify]: Simplifying (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 30.284 * * [simplify]: iters left: 6 (10 enodes) 30.287 * * [simplify]: iters left: 5 (34 enodes) 30.292 * * [simplify]: iters left: 4 (36 enodes) 30.297 * * [simplify]: Extracting #0: cost 1 inf + 0 30.297 * * [simplify]: Extracting #1: cost 3 inf + 0 30.297 * * [simplify]: Extracting #2: cost 5 inf + 0 30.297 * * [simplify]: Extracting #3: cost 8 inf + 0 30.297 * * [simplify]: Extracting #4: cost 9 inf + 1 30.298 * * [simplify]: Extracting #5: cost 12 inf + 1 30.298 * * [simplify]: Extracting #6: cost 13 inf + 2 30.298 * * [simplify]: Extracting #7: cost 15 inf + 2 30.298 * * [simplify]: Extracting #8: cost 13 inf + 60 30.298 * * [simplify]: Extracting #9: cost 9 inf + 451 30.298 * * [simplify]: Extracting #10: cost 4 inf + 1381 30.298 * * [simplify]: Extracting #11: cost 0 inf + 2493 30.299 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 30.299 * [simplify]: Simplified (2 1 2) to (λ (x) (* (/ (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 30.299 * * * * [progress]: [ 51 / 253 ] simplifiying candidate # 30.299 * [simplify]: Simplifying (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 30.299 * * [simplify]: iters left: 6 (9 enodes) 30.302 * * [simplify]: iters left: 5 (31 enodes) 30.311 * * [simplify]: iters left: 4 (33 enodes) 30.321 * * [simplify]: Extracting #0: cost 1 inf + 0 30.321 * * [simplify]: Extracting #1: cost 3 inf + 0 30.321 * * [simplify]: Extracting #2: cost 6 inf + 0 30.321 * * [simplify]: Extracting #3: cost 7 inf + 1 30.321 * * [simplify]: Extracting #4: cost 10 inf + 1 30.321 * * [simplify]: Extracting #5: cost 11 inf + 2 30.321 * * [simplify]: Extracting #6: cost 13 inf + 2 30.321 * * [simplify]: Extracting #7: cost 10 inf + 117 30.322 * * [simplify]: Extracting #8: cost 8 inf + 353 30.322 * * [simplify]: Extracting #9: cost 4 inf + 985 30.323 * * [simplify]: Extracting #10: cost 0 inf + 1897 30.323 * [simplify]: Simplified to (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 30.323 * [simplify]: Simplified (2 1 2) to (λ (x) (* (/ (/ 1 (sqrt 1)) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 30.323 * * * * [progress]: [ 52 / 253 ] simplifiying candidate # 30.324 * [simplify]: Simplifying (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 30.324 * * [simplify]: iters left: 6 (10 enodes) 30.330 * * [simplify]: iters left: 5 (34 enodes) 30.339 * * [simplify]: iters left: 4 (36 enodes) 30.350 * * [simplify]: Extracting #0: cost 1 inf + 0 30.350 * * [simplify]: Extracting #1: cost 3 inf + 0 30.350 * * [simplify]: Extracting #2: cost 6 inf + 0 30.350 * * [simplify]: Extracting #3: cost 7 inf + 1 30.350 * * [simplify]: Extracting #4: cost 10 inf + 1 30.350 * * [simplify]: Extracting #5: cost 11 inf + 2 30.350 * * [simplify]: Extracting #6: cost 13 inf + 2 30.350 * * [simplify]: Extracting #7: cost 12 inf + 3 30.350 * * [simplify]: Extracting #8: cost 9 inf + 215 30.351 * * [simplify]: Extracting #9: cost 4 inf + 945 30.351 * * [simplify]: Extracting #10: cost 0 inf + 1897 30.352 * [simplify]: Simplified to (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 30.352 * [simplify]: Simplified (2 1 2) to (λ (x) (* (/ (/ 1 (sqrt (sqrt 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))))))) 30.352 * * * * [progress]: [ 53 / 253 ] simplifiying candidate # 30.352 * [simplify]: Simplifying (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 30.353 * * [simplify]: iters left: 6 (10 enodes) 30.358 * * [simplify]: iters left: 5 (34 enodes) 30.370 * * [simplify]: iters left: 4 (36 enodes) 30.381 * * [simplify]: Extracting #0: cost 1 inf + 0 30.381 * * [simplify]: Extracting #1: cost 3 inf + 0 30.381 * * [simplify]: Extracting #2: cost 6 inf + 0 30.381 * * [simplify]: Extracting #3: cost 7 inf + 1 30.381 * * [simplify]: Extracting #4: cost 10 inf + 1 30.381 * * [simplify]: Extracting #5: cost 11 inf + 2 30.381 * * [simplify]: Extracting #6: cost 13 inf + 2 30.381 * * [simplify]: Extracting #7: cost 12 inf + 3 30.381 * * [simplify]: Extracting #8: cost 9 inf + 215 30.382 * * [simplify]: Extracting #9: cost 4 inf + 945 30.382 * * [simplify]: Extracting #10: cost 0 inf + 1897 30.383 * [simplify]: Simplified to (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 30.383 * [simplify]: Simplified (2 1 2) to (λ (x) (* (/ (/ 1 (sqrt (sqrt 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))))))) 30.383 * * * * [progress]: [ 54 / 253 ] simplifiying candidate # 30.383 * [simplify]: Simplifying (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 30.384 * * [simplify]: iters left: 6 (9 enodes) 30.388 * * [simplify]: iters left: 5 (31 enodes) 30.398 * * [simplify]: iters left: 4 (33 enodes) 30.408 * * [simplify]: Extracting #0: cost 1 inf + 0 30.408 * * [simplify]: Extracting #1: cost 3 inf + 0 30.408 * * [simplify]: Extracting #2: cost 6 inf + 0 30.408 * * [simplify]: Extracting #3: cost 7 inf + 1 30.408 * * [simplify]: Extracting #4: cost 10 inf + 1 30.408 * * [simplify]: Extracting #5: cost 11 inf + 2 30.408 * * [simplify]: Extracting #6: cost 13 inf + 2 30.408 * * [simplify]: Extracting #7: cost 10 inf + 117 30.408 * * [simplify]: Extracting #8: cost 8 inf + 353 30.409 * * [simplify]: Extracting #9: cost 4 inf + 985 30.409 * * [simplify]: Extracting #10: cost 0 inf + 1897 30.410 * [simplify]: Simplified to (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 30.410 * [simplify]: Simplified (2 1 2) to (λ (x) (* (/ (/ 1 (sqrt 1)) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 30.410 * * * * [progress]: [ 55 / 253 ] simplifiying candidate # 30.410 * [simplify]: Simplifying (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 30.411 * * [simplify]: iters left: 6 (10 enodes) 30.416 * * [simplify]: iters left: 5 (34 enodes) 30.427 * * [simplify]: iters left: 4 (36 enodes) 30.437 * * [simplify]: Extracting #0: cost 1 inf + 0 30.437 * * [simplify]: Extracting #1: cost 3 inf + 0 30.437 * * [simplify]: Extracting #2: cost 5 inf + 0 30.437 * * [simplify]: Extracting #3: cost 8 inf + 0 30.437 * * [simplify]: Extracting #4: cost 9 inf + 1 30.437 * * [simplify]: Extracting #5: cost 12 inf + 1 30.437 * * [simplify]: Extracting #6: cost 13 inf + 2 30.438 * * [simplify]: Extracting #7: cost 15 inf + 2 30.438 * * [simplify]: Extracting #8: cost 13 inf + 60 30.438 * * [simplify]: Extracting #9: cost 9 inf + 451 30.438 * * [simplify]: Extracting #10: cost 4 inf + 1381 30.439 * * [simplify]: Extracting #11: cost 0 inf + 2493 30.440 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 30.440 * [simplify]: Simplified (2 1 2) to (λ (x) (* (/ (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 30.440 * * * * [progress]: [ 56 / 253 ] simplifiying candidate # 30.440 * [simplify]: Simplifying (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 30.441 * * [simplify]: iters left: 6 (9 enodes) 30.445 * * [simplify]: iters left: 5 (31 enodes) 30.455 * * [simplify]: iters left: 4 (33 enodes) 30.465 * * [simplify]: Extracting #0: cost 1 inf + 0 30.465 * * [simplify]: Extracting #1: cost 3 inf + 0 30.465 * * [simplify]: Extracting #2: cost 6 inf + 0 30.465 * * [simplify]: Extracting #3: cost 7 inf + 1 30.465 * * [simplify]: Extracting #4: cost 10 inf + 1 30.465 * * [simplify]: Extracting #5: cost 11 inf + 2 30.465 * * [simplify]: Extracting #6: cost 13 inf + 2 30.466 * * [simplify]: Extracting #7: cost 10 inf + 117 30.466 * * [simplify]: Extracting #8: cost 8 inf + 353 30.466 * * [simplify]: Extracting #9: cost 4 inf + 985 30.467 * * [simplify]: Extracting #10: cost 0 inf + 1897 30.467 * [simplify]: Simplified to (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 30.467 * [simplify]: Simplified (2 1 2) to (λ (x) (* (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 30.468 * * * * [progress]: [ 57 / 253 ] simplifiying candidate # 30.468 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 30.468 * * [simplify]: iters left: 3 (3 enodes) 30.474 * * [simplify]: iters left: 2 (11 enodes) 30.476 * * [simplify]: iters left: 1 (13 enodes) 30.478 * * [simplify]: Extracting #0: cost 1 inf + 0 30.478 * * [simplify]: Extracting #1: cost 0 inf + 1 30.478 * [simplify]: Simplified to 1 30.478 * [simplify]: Simplified (2 1 1) to (λ (x) (* (/ 1 (/ (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt 1))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 30.478 * * * * [progress]: [ 58 / 253 ] simplifiying candidate # 30.479 * [simplify]: Simplifying (sqrt 1) 30.479 * * [simplify]: iters left: 1 (2 enodes) 30.480 * * [simplify]: Extracting #0: cost 1 inf + 0 30.480 * * [simplify]: Extracting #1: cost 0 inf + 1 30.480 * [simplify]: Simplified to 1 30.480 * [simplify]: Simplified (2 1 1) to (λ (x) (* (/ 1 (/ (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt 1))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 30.481 * * * * [progress]: [ 59 / 253 ] simplifiying candidate # 30.481 * * * * [progress]: [ 60 / 253 ] simplifiying candidate # 30.481 * [simplify]: Simplifying (sqrt (+ (* 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)))))) 30.481 * * [simplify]: iters left: 6 (13 enodes) 30.485 * * [simplify]: iters left: 5 (47 enodes) 30.493 * * [simplify]: iters left: 4 (89 enodes) 30.520 * * [simplify]: iters left: 3 (163 enodes) 30.598 * * [simplify]: iters left: 2 (271 enodes) 30.735 * * [simplify]: iters left: 1 (389 enodes) 30.902 * * [simplify]: Extracting #0: cost 1 inf + 0 30.903 * * [simplify]: Extracting #1: cost 3 inf + 0 30.903 * * [simplify]: Extracting #2: cost 40 inf + 0 30.904 * * [simplify]: Extracting #3: cost 61 inf + 5 30.904 * * [simplify]: Extracting #4: cost 62 inf + 6 30.906 * * [simplify]: Extracting #5: cost 46 inf + 1959 30.911 * * [simplify]: Extracting #6: cost 11 inf + 9397 30.916 * * [simplify]: Extracting #7: cost 0 inf + 12119 30.921 * [simplify]: Simplified to (sqrt (- (+ (/ 1/2 (hypot 1 x)) 1/2) (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 30.922 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ 1 (sqrt (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))) (sqrt (- (+ (/ 1/2 (hypot 1 x)) 1/2) (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 30.922 * * * * [progress]: [ 61 / 253 ] simplifiying candidate # 30.922 * [simplify]: Simplifying (sqrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 30.922 * * [simplify]: iters left: 6 (9 enodes) 30.924 * * [simplify]: iters left: 5 (32 enodes) 30.930 * * [simplify]: iters left: 4 (37 enodes) 30.935 * * [simplify]: Extracting #0: cost 1 inf + 0 30.935 * * [simplify]: Extracting #1: cost 3 inf + 0 30.935 * * [simplify]: Extracting #2: cost 7 inf + 0 30.935 * * [simplify]: Extracting #3: cost 9 inf + 1 30.936 * * [simplify]: Extracting #4: cost 12 inf + 1 30.936 * * [simplify]: Extracting #5: cost 13 inf + 2 30.936 * * [simplify]: Extracting #6: cost 15 inf + 2 30.936 * * [simplify]: Extracting #7: cost 13 inf + 60 30.936 * * [simplify]: Extracting #8: cost 10 inf + 353 30.936 * * [simplify]: Extracting #9: cost 3 inf + 1599 30.936 * * [simplify]: Extracting #10: cost 0 inf + 2333 30.937 * [simplify]: Simplified to (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 30.937 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ 1 (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 30.937 * * * * [progress]: [ 62 / 253 ] simplifiying candidate #real (real->posit16 (/ 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)))))))> 30.937 * * * * [progress]: [ 63 / 253 ] simplifiying candidate # 30.937 * [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))))))) 30.937 * * [simplify]: iters left: 6 (12 enodes) 30.942 * * [simplify]: iters left: 5 (47 enodes) 30.958 * * [simplify]: iters left: 4 (69 enodes) 30.985 * * [simplify]: iters left: 3 (94 enodes) 31.017 * * [simplify]: iters left: 2 (136 enodes) 31.067 * * [simplify]: iters left: 1 (225 enodes) 31.145 * * [simplify]: Extracting #0: cost 1 inf + 0 31.145 * * [simplify]: Extracting #1: cost 15 inf + 0 31.145 * * [simplify]: Extracting #2: cost 56 inf + 1 31.145 * * [simplify]: Extracting #3: cost 79 inf + 87 31.146 * * [simplify]: Extracting #4: cost 70 inf + 626 31.146 * * [simplify]: Extracting #5: cost 60 inf + 2160 31.148 * * [simplify]: Extracting #6: cost 23 inf + 22133 31.152 * * [simplify]: Extracting #7: cost 2 inf + 37028 31.157 * * [simplify]: Extracting #8: cost 0 inf + 38890 31.161 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 31.161 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 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))))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 31.161 * [simplify]: Simplifying (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)))))) 31.161 * * [simplify]: iters left: 6 (10 enodes) 31.164 * * [simplify]: iters left: 5 (37 enodes) 31.172 * * [simplify]: iters left: 4 (55 enodes) 31.193 * * [simplify]: iters left: 3 (99 enodes) 31.231 * * [simplify]: iters left: 2 (150 enodes) 31.258 * * [simplify]: iters left: 1 (220 enodes) 31.307 * * [simplify]: Extracting #0: cost 1 inf + 0 31.307 * * [simplify]: Extracting #1: cost 0 inf + 1 31.307 * [simplify]: Simplified to 0 31.307 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 31.307 * * * * [progress]: [ 64 / 253 ] simplifiying candidate # 31.308 * [simplify]: Simplifying (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) 31.308 * * [simplify]: iters left: 6 (11 enodes) 31.314 * * [simplify]: iters left: 5 (38 enodes) 31.331 * * [simplify]: iters left: 4 (51 enodes) 31.346 * * [simplify]: iters left: 3 (58 enodes) 31.364 * * [simplify]: iters left: 2 (62 enodes) 31.372 * * [simplify]: iters left: 1 (64 enodes) 31.380 * * [simplify]: Extracting #0: cost 1 inf + 0 31.380 * * [simplify]: Extracting #1: cost 9 inf + 0 31.380 * * [simplify]: Extracting #2: cost 16 inf + 1 31.380 * * [simplify]: Extracting #3: cost 16 inf + 164 31.380 * * [simplify]: Extracting #4: cost 9 inf + 620 31.380 * * [simplify]: Extracting #5: cost 2 inf + 1506 31.381 * * [simplify]: Extracting #6: cost 0 inf + 1822 31.381 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 31.381 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 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)))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 31.381 * [simplify]: Simplifying (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))))) 31.382 * * [simplify]: iters left: 6 (9 enodes) 31.384 * * [simplify]: iters left: 5 (29 enodes) 31.388 * * [simplify]: iters left: 4 (39 enodes) 31.395 * * [simplify]: iters left: 3 (50 enodes) 31.408 * * [simplify]: iters left: 2 (53 enodes) 31.420 * * [simplify]: Extracting #0: cost 1 inf + 0 31.420 * * [simplify]: Extracting #1: cost 0 inf + 1 31.420 * [simplify]: Simplified to 0 31.420 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 31.420 * * * * [progress]: [ 65 / 253 ] simplifiying candidate # 31.421 * [simplify]: Simplifying (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))))))) 31.421 * * [simplify]: iters left: 6 (13 enodes) 31.428 * * [simplify]: iters left: 5 (57 enodes) 31.454 * * [simplify]: iters left: 4 (135 enodes) 31.512 * * [simplify]: iters left: 3 (283 enodes) 31.606 * * [simplify]: iters left: 2 (456 enodes) 31.783 * * [simplify]: Extracting #0: cost 1 inf + 0 31.783 * * [simplify]: Extracting #1: cost 23 inf + 0 31.784 * * [simplify]: Extracting #2: cost 88 inf + 1 31.784 * * [simplify]: Extracting #3: cost 112 inf + 85 31.785 * * [simplify]: Extracting #4: cost 88 inf + 4417 31.789 * * [simplify]: Extracting #5: cost 19 inf + 26361 31.798 * * [simplify]: Extracting #6: cost 0 inf + 33420 31.810 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 31.811 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (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))))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 31.811 * [simplify]: Simplifying (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)))))) 31.811 * * [simplify]: iters left: 6 (13 enodes) 31.819 * * [simplify]: iters left: 5 (55 enodes) 31.834 * * [simplify]: iters left: 4 (121 enodes) 31.873 * * [simplify]: iters left: 3 (283 enodes) 31.966 * * [simplify]: iters left: 2 (477 enodes) 32.122 * * [simplify]: Extracting #0: cost 1 inf + 0 32.122 * * [simplify]: Extracting #1: cost 0 inf + 1 32.122 * [simplify]: Simplified to 0 32.122 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 32.122 * * * * [progress]: [ 66 / 253 ] simplifiying candidate # 32.123 * [simplify]: Simplifying (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)))))) 32.123 * * [simplify]: iters left: 6 (12 enodes) 32.128 * * [simplify]: iters left: 5 (51 enodes) 32.147 * * [simplify]: iters left: 4 (98 enodes) 32.180 * * [simplify]: iters left: 3 (162 enodes) 32.236 * * [simplify]: iters left: 2 (229 enodes) 32.286 * * [simplify]: iters left: 1 (280 enodes) 32.374 * * [simplify]: Extracting #0: cost 1 inf + 0 32.374 * * [simplify]: Extracting #1: cost 17 inf + 0 32.375 * * [simplify]: Extracting #2: cost 43 inf + 1 32.375 * * [simplify]: Extracting #3: cost 55 inf + 83 32.377 * * [simplify]: Extracting #4: cost 31 inf + 3896 32.381 * * [simplify]: Extracting #5: cost 3 inf + 9422 32.386 * * [simplify]: Extracting #6: cost 0 inf + 10116 32.391 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 32.391 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (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)))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 32.392 * [simplify]: Simplifying (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))))) 32.392 * * [simplify]: iters left: 6 (12 enodes) 32.400 * * [simplify]: iters left: 5 (49 enodes) 32.417 * * [simplify]: iters left: 4 (86 enodes) 32.450 * * [simplify]: iters left: 3 (161 enodes) 32.490 * * [simplify]: iters left: 2 (251 enodes) 32.547 * * [simplify]: iters left: 1 (325 enodes) 32.616 * * [simplify]: Extracting #0: cost 1 inf + 0 32.617 * * [simplify]: Extracting #1: cost 0 inf + 1 32.617 * [simplify]: Simplified to 0 32.617 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 32.617 * * * * [progress]: [ 67 / 253 ] simplifiying candidate # 32.617 * [simplify]: Simplifying (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt 1/2) (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) 1)))) 32.617 * * [simplify]: iters left: 6 (11 enodes) 32.626 * * [simplify]: iters left: 5 (46 enodes) 32.645 * * [simplify]: iters left: 4 (97 enodes) 32.679 * * [simplify]: iters left: 3 (171 enodes) 32.717 * * [simplify]: iters left: 2 (263 enodes) 32.783 * * [simplify]: iters left: 1 (321 enodes) 32.853 * * [simplify]: Extracting #0: cost 1 inf + 0 32.853 * * [simplify]: Extracting #1: cost 13 inf + 0 32.853 * * [simplify]: Extracting #2: cost 34 inf + 1 32.853 * * [simplify]: Extracting #3: cost 41 inf + 84 32.853 * * [simplify]: Extracting #4: cost 31 inf + 1298 32.854 * * [simplify]: Extracting #5: cost 21 inf + 2843 32.856 * * [simplify]: Extracting #6: cost 3 inf + 6088 32.857 * * [simplify]: Extracting #7: cost 0 inf + 6780 32.859 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 32.859 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (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)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 32.860 * [simplify]: Simplifying (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))) 32.860 * * [simplify]: iters left: 6 (11 enodes) 32.863 * * [simplify]: iters left: 5 (44 enodes) 32.874 * * [simplify]: iters left: 4 (86 enodes) 32.891 * * [simplify]: iters left: 3 (167 enodes) 32.926 * * [simplify]: iters left: 2 (260 enodes) 33.025 * * [simplify]: iters left: 1 (326 enodes) 33.112 * * [simplify]: Extracting #0: cost 1 inf + 0 33.113 * * [simplify]: Extracting #1: cost 0 inf + 1 33.113 * [simplify]: Simplified to 0 33.113 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 33.113 * * * * [progress]: [ 68 / 253 ] simplifiying candidate # 33.113 * [simplify]: Simplifying (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))))))) 33.113 * * [simplify]: iters left: 6 (14 enodes) 33.117 * * [simplify]: iters left: 5 (56 enodes) 33.127 * * [simplify]: iters left: 4 (103 enodes) 33.155 * * [simplify]: iters left: 3 (154 enodes) 33.180 * * [simplify]: iters left: 2 (195 enodes) 33.227 * * [simplify]: iters left: 1 (239 enodes) 33.294 * * [simplify]: Extracting #0: cost 1 inf + 0 33.294 * * [simplify]: Extracting #1: cost 15 inf + 0 33.294 * * [simplify]: Extracting #2: cost 40 inf + 1 33.294 * * [simplify]: Extracting #3: cost 52 inf + 327 33.295 * * [simplify]: Extracting #4: cost 46 inf + 710 33.295 * * [simplify]: Extracting #5: cost 27 inf + 3432 33.297 * * [simplify]: Extracting #6: cost 3 inf + 8912 33.299 * * [simplify]: Extracting #7: cost 0 inf + 9606 33.302 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 33.302 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (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))))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 33.302 * [simplify]: Simplifying (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)))))) 33.302 * * [simplify]: iters left: 6 (12 enodes) 33.305 * * [simplify]: iters left: 5 (48 enodes) 33.313 * * [simplify]: iters left: 4 (85 enodes) 33.339 * * [simplify]: iters left: 3 (136 enodes) 33.386 * * [simplify]: iters left: 2 (198 enodes) 33.443 * * [simplify]: iters left: 1 (259 enodes) 33.518 * * [simplify]: Extracting #0: cost 1 inf + 0 33.518 * * [simplify]: Extracting #1: cost 0 inf + 1 33.518 * [simplify]: Simplified to 0 33.518 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 33.518 * * * * [progress]: [ 69 / 253 ] simplifiying candidate # 33.519 * [simplify]: Simplifying (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))))) 33.519 * * [simplify]: iters left: 6 (12 enodes) 33.525 * * [simplify]: iters left: 5 (47 enodes) 33.541 * * [simplify]: iters left: 4 (74 enodes) 33.565 * * [simplify]: iters left: 3 (103 enodes) 33.596 * * [simplify]: iters left: 2 (128 enodes) 33.630 * * [simplify]: iters left: 1 (149 enodes) 33.671 * * [simplify]: Extracting #0: cost 1 inf + 0 33.671 * * [simplify]: Extracting #1: cost 13 inf + 0 33.671 * * [simplify]: Extracting #2: cost 31 inf + 1 33.672 * * [simplify]: Extracting #3: cost 37 inf + 205 33.672 * * [simplify]: Extracting #4: cost 30 inf + 652 33.673 * * [simplify]: Extracting #5: cost 12 inf + 3094 33.676 * * [simplify]: Extracting #6: cost 0 inf + 5028 33.678 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 33.678 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (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)))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 33.679 * [simplify]: Simplifying (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))))) 33.679 * * [simplify]: iters left: 6 (10 enodes) 33.685 * * [simplify]: iters left: 5 (40 enodes) 33.698 * * [simplify]: iters left: 4 (63 enodes) 33.719 * * [simplify]: iters left: 3 (91 enodes) 33.746 * * [simplify]: iters left: 2 (120 enodes) 33.769 * * [simplify]: iters left: 1 (142 enodes) 33.789 * * [simplify]: Extracting #0: cost 1 inf + 0 33.789 * * [simplify]: Extracting #1: cost 0 inf + 1 33.789 * [simplify]: Simplified to 0 33.789 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 33.789 * * * * [progress]: [ 70 / 253 ] simplifiying candidate # 33.789 * [simplify]: Simplifying (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))) 33.790 * * [simplify]: iters left: 6 (12 enodes) 33.793 * * [simplify]: iters left: 5 (47 enodes) 33.801 * * [simplify]: iters left: 4 (79 enodes) 33.817 * * [simplify]: iters left: 3 (111 enodes) 33.847 * * [simplify]: iters left: 2 (128 enodes) 33.868 * * [simplify]: iters left: 1 (147 enodes) 33.901 * * [simplify]: Extracting #0: cost 1 inf + 0 33.901 * * [simplify]: Extracting #1: cost 11 inf + 0 33.901 * * [simplify]: Extracting #2: cost 27 inf + 1 33.902 * * [simplify]: Extracting #3: cost 28 inf + 206 33.902 * * [simplify]: Extracting #4: cost 21 inf + 734 33.903 * * [simplify]: Extracting #5: cost 5 inf + 2958 33.905 * * [simplify]: Extracting #6: cost 0 inf + 3606 33.907 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 33.907 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (/ (sqrt 1/2) (hypot 1 x))) (/ (sqrt 1/2) 1) (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 33.907 * [simplify]: Simplifying (fma (- (/ (sqrt 1/2) (hypot 1 x))) (/ (sqrt 1/2) 1) (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1))) 33.907 * * [simplify]: iters left: 6 (10 enodes) 33.913 * * [simplify]: iters left: 5 (39 enodes) 33.927 * * [simplify]: iters left: 4 (64 enodes) 33.950 * * [simplify]: iters left: 3 (113 enodes) 33.985 * * [simplify]: iters left: 2 (130 enodes) 34.019 * * [simplify]: iters left: 1 (141 enodes) 34.047 * * [simplify]: Extracting #0: cost 1 inf + 0 34.047 * * [simplify]: Extracting #1: cost 0 inf + 1 34.047 * [simplify]: Simplified to 0 34.047 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 34.047 * * * * [progress]: [ 71 / 253 ] simplifiying candidate # 34.048 * [simplify]: Simplifying (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))))))) 34.048 * * [simplify]: iters left: 6 (13 enodes) 34.055 * * [simplify]: iters left: 5 (54 enodes) 34.076 * * [simplify]: iters left: 4 (108 enodes) 34.098 * * [simplify]: iters left: 3 (191 enodes) 34.166 * * [simplify]: iters left: 2 (306 enodes) 34.341 * * [simplify]: iters left: 1 (447 enodes) 34.565 * * [simplify]: Extracting #0: cost 1 inf + 0 34.565 * * [simplify]: Extracting #1: cost 21 inf + 0 34.566 * * [simplify]: Extracting #2: cost 53 inf + 4 34.566 * * [simplify]: Extracting #3: cost 68 inf + 86 34.567 * * [simplify]: Extracting #4: cost 57 inf + 956 34.568 * * [simplify]: Extracting #5: cost 32 inf + 5131 34.571 * * [simplify]: Extracting #6: cost 2 inf + 11001 34.575 * * [simplify]: Extracting #7: cost 0 inf + 11397 34.578 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 34.578 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (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))))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 34.579 * [simplify]: Simplifying (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)))))) 34.582 * * [simplify]: iters left: 6 (11 enodes) 34.585 * * [simplify]: iters left: 5 (47 enodes) 34.594 * * [simplify]: iters left: 4 (85 enodes) 34.612 * * [simplify]: iters left: 3 (163 enodes) 34.655 * * [simplify]: iters left: 2 (299 enodes) 34.784 * * [simplify]: iters left: 1 (437 enodes) 34.946 * * [simplify]: Extracting #0: cost 1 inf + 0 34.946 * * [simplify]: Extracting #1: cost 0 inf + 1 34.946 * [simplify]: Simplified to 0 34.946 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 34.946 * * * * [progress]: [ 72 / 253 ] simplifiying candidate # 34.947 * [simplify]: Simplifying (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1/2 (sqrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x)))))) 34.947 * * [simplify]: iters left: 6 (12 enodes) 34.950 * * [simplify]: iters left: 5 (49 enodes) 34.966 * * [simplify]: iters left: 4 (86 enodes) 34.981 * * [simplify]: iters left: 3 (137 enodes) 35.026 * * [simplify]: iters left: 2 (193 enodes) 35.076 * * [simplify]: iters left: 1 (246 enodes) 35.126 * * [simplify]: Extracting #0: cost 1 inf + 0 35.126 * * [simplify]: Extracting #1: cost 17 inf + 0 35.127 * * [simplify]: Extracting #2: cost 35 inf + 4 35.127 * * [simplify]: Extracting #3: cost 43 inf + 166 35.127 * * [simplify]: Extracting #4: cost 40 inf + 409 35.129 * * [simplify]: Extracting #5: cost 18 inf + 2963 35.134 * * [simplify]: Extracting #6: cost 0 inf + 5283 35.137 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 35.137 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (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)))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 35.138 * [simplify]: Simplifying (fma (- (/ 1/2 (sqrt (hypot 1 x)))) (/ 1 (sqrt (hypot 1 x))) (* (/ 1/2 (sqrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))))) 35.138 * * [simplify]: iters left: 6 (10 enodes) 35.145 * * [simplify]: iters left: 5 (42 enodes) 35.159 * * [simplify]: iters left: 4 (65 enodes) 35.180 * * [simplify]: iters left: 3 (111 enodes) 35.205 * * [simplify]: iters left: 2 (204 enodes) 35.256 * * [simplify]: iters left: 1 (244 enodes) 35.311 * * [simplify]: Extracting #0: cost 1 inf + 0 35.311 * * [simplify]: Extracting #1: cost 0 inf + 1 35.311 * [simplify]: Simplified to 0 35.311 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 35.311 * * * * [progress]: [ 73 / 253 ] simplifiying candidate # 35.311 * [simplify]: Simplifying (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) 35.312 * * [simplify]: iters left: 6 (11 enodes) 35.318 * * [simplify]: iters left: 5 (43 enodes) 35.329 * * [simplify]: iters left: 4 (62 enodes) 35.342 * * [simplify]: iters left: 3 (77 enodes) 35.354 * * [simplify]: iters left: 2 (85 enodes) 35.373 * * [simplify]: iters left: 1 (91 enodes) 35.391 * * [simplify]: Extracting #0: cost 1 inf + 0 35.391 * * [simplify]: Extracting #1: cost 9 inf + 0 35.391 * * [simplify]: Extracting #2: cost 12 inf + 3 35.391 * * [simplify]: Extracting #3: cost 12 inf + 85 35.392 * * [simplify]: Extracting #4: cost 7 inf + 466 35.392 * * [simplify]: Extracting #5: cost 1 inf + 1093 35.393 * * [simplify]: Extracting #6: cost 0 inf + 1191 35.393 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 35.393 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (/ 1/2 (hypot 1 x))) (/ 1 1) (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 35.394 * [simplify]: Simplifying (fma (- (/ 1/2 (hypot 1 x))) (/ 1 1) (* (/ 1/2 (hypot 1 x)) (/ 1 1))) 35.394 * * [simplify]: iters left: 6 (9 enodes) 35.400 * * [simplify]: iters left: 5 (35 enodes) 35.411 * * [simplify]: iters left: 4 (54 enodes) 35.418 * * [simplify]: iters left: 3 (62 enodes) 35.427 * * [simplify]: iters left: 2 (74 enodes) 35.436 * * [simplify]: iters left: 1 (84 enodes) 35.446 * * [simplify]: Extracting #0: cost 1 inf + 0 35.446 * * [simplify]: Extracting #1: cost 0 inf + 1 35.447 * [simplify]: Simplified to 0 35.447 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 35.447 * * * * [progress]: [ 74 / 253 ] simplifiying candidate # 35.447 * [simplify]: Simplifying (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1/2 (hypot 1 x)) 1))) 35.447 * * [simplify]: iters left: 6 (10 enodes) 35.453 * * [simplify]: iters left: 5 (40 enodes) 35.468 * * [simplify]: iters left: 4 (59 enodes) 35.487 * * [simplify]: iters left: 3 (74 enodes) 35.507 * * [simplify]: iters left: 2 (82 enodes) 35.517 * * [simplify]: iters left: 1 (88 enodes) 35.526 * * [simplify]: Extracting #0: cost 1 inf + 0 35.526 * * [simplify]: Extracting #1: cost 9 inf + 0 35.526 * * [simplify]: Extracting #2: cost 12 inf + 3 35.526 * * [simplify]: Extracting #3: cost 11 inf + 166 35.526 * * [simplify]: Extracting #4: cost 3 inf + 857 35.527 * * [simplify]: Extracting #5: cost 1 inf + 1093 35.527 * * [simplify]: Extracting #6: cost 0 inf + 1191 35.527 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 35.527 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (/ 1/2 (hypot 1 x))) 1 (* (/ 1/2 (hypot 1 x)) 1))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 35.528 * [simplify]: Simplifying (fma (- (/ 1/2 (hypot 1 x))) 1 (* (/ 1/2 (hypot 1 x)) 1)) 35.528 * * [simplify]: iters left: 6 (8 enodes) 35.530 * * [simplify]: iters left: 5 (32 enodes) 35.537 * * [simplify]: iters left: 4 (47 enodes) 35.547 * * [simplify]: iters left: 3 (55 enodes) 35.567 * * [simplify]: iters left: 2 (69 enodes) 35.575 * * [simplify]: iters left: 1 (73 enodes) 35.582 * * [simplify]: Extracting #0: cost 1 inf + 0 35.582 * * [simplify]: Extracting #1: cost 0 inf + 1 35.582 * [simplify]: Simplified to 0 35.582 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 35.582 * * * * [progress]: [ 75 / 253 ] simplifiying candidate # 35.582 * [simplify]: Simplifying (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 (hypot 1 x)) 1/2))) 35.582 * * [simplify]: iters left: 6 (10 enodes) 35.586 * * [simplify]: iters left: 5 (42 enodes) 35.594 * * [simplify]: iters left: 4 (62 enodes) 35.605 * * [simplify]: iters left: 3 (73 enodes) 35.621 * * [simplify]: iters left: 2 (81 enodes) 35.632 * * [simplify]: iters left: 1 (89 enodes) 35.644 * * [simplify]: Extracting #0: cost 1 inf + 0 35.644 * * [simplify]: Extracting #1: cost 11 inf + 0 35.644 * * [simplify]: Extracting #2: cost 19 inf + 2 35.644 * * [simplify]: Extracting #3: cost 18 inf + 85 35.644 * * [simplify]: Extracting #4: cost 14 inf + 409 35.644 * * [simplify]: Extracting #5: cost 11 inf + 621 35.645 * * [simplify]: Extracting #6: cost 4 inf + 1385 35.645 * * [simplify]: Extracting #7: cost 0 inf + 1857 35.645 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 35.646 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (/ 1 (hypot 1 x))) 1/2 (* (/ 1 (hypot 1 x)) 1/2))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 35.646 * [simplify]: Simplifying (fma (- (/ 1 (hypot 1 x))) 1/2 (* (/ 1 (hypot 1 x)) 1/2)) 35.646 * * [simplify]: iters left: 6 (8 enodes) 35.649 * * [simplify]: iters left: 5 (34 enodes) 35.657 * * [simplify]: iters left: 4 (47 enodes) 35.673 * * [simplify]: iters left: 3 (65 enodes) 35.687 * * [simplify]: iters left: 2 (70 enodes) 35.694 * * [simplify]: Extracting #0: cost 1 inf + 0 35.694 * * [simplify]: Extracting #1: cost 0 inf + 1 35.694 * [simplify]: Simplified to 0 35.695 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 35.695 * * * * [progress]: [ 76 / 253 ] simplifiying candidate # 35.695 * [simplify]: Simplifying (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))))))) 35.695 * * [simplify]: iters left: 6 (11 enodes) 35.698 * * [simplify]: iters left: 5 (44 enodes) 35.706 * * [simplify]: iters left: 4 (62 enodes) 35.716 * * [simplify]: iters left: 3 (81 enodes) 35.734 * * [simplify]: iters left: 2 (122 enodes) 35.762 * * [simplify]: iters left: 1 (190 enodes) 35.820 * * [simplify]: Extracting #0: cost 1 inf + 0 35.820 * * [simplify]: Extracting #1: cost 6 inf + 0 35.821 * * [simplify]: Extracting #2: cost 35 inf + 1 35.821 * * [simplify]: Extracting #3: cost 73 inf + 45 35.822 * * [simplify]: Extracting #4: cost 66 inf + 401 35.823 * * [simplify]: Extracting #5: cost 57 inf + 2135 35.826 * * [simplify]: Extracting #6: cost 30 inf + 15029 35.833 * * [simplify]: Extracting #7: cost 0 inf + 36066 35.840 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 35.841 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 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))))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 35.841 * [simplify]: Simplifying (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)))))) 35.841 * * [simplify]: iters left: 6 (10 enodes) 35.847 * * [simplify]: iters left: 5 (37 enodes) 35.865 * * [simplify]: iters left: 4 (55 enodes) 35.883 * * [simplify]: iters left: 3 (99 enodes) 35.901 * * [simplify]: iters left: 2 (150 enodes) 35.926 * * [simplify]: iters left: 1 (220 enodes) 35.967 * * [simplify]: Extracting #0: cost 1 inf + 0 35.967 * * [simplify]: Extracting #1: cost 0 inf + 1 35.967 * [simplify]: Simplified to 0 35.967 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 35.967 * * * * [progress]: [ 77 / 253 ] simplifiying candidate # 35.967 * [simplify]: Simplifying (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) 35.967 * * [simplify]: iters left: 6 (10 enodes) 35.970 * * [simplify]: iters left: 5 (35 enodes) 35.976 * * [simplify]: iters left: 4 (44 enodes) 35.985 * * [simplify]: iters left: 3 (46 enodes) 35.997 * * [simplify]: Extracting #0: cost 1 inf + 0 35.997 * * [simplify]: Extracting #1: cost 6 inf + 0 35.997 * * [simplify]: Extracting #2: cost 12 inf + 1 35.998 * * [simplify]: Extracting #3: cost 15 inf + 43 35.998 * * [simplify]: Extracting #4: cost 12 inf + 86 35.998 * * [simplify]: Extracting #5: cost 6 inf + 632 35.999 * * [simplify]: Extracting #6: cost 0 inf + 1500 35.999 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 35.999 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 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)))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 36.000 * [simplify]: Simplifying (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))))) 36.000 * * [simplify]: iters left: 6 (9 enodes) 36.005 * * [simplify]: iters left: 5 (29 enodes) 36.014 * * [simplify]: iters left: 4 (39 enodes) 36.021 * * [simplify]: iters left: 3 (50 enodes) 36.027 * * [simplify]: iters left: 2 (53 enodes) 36.034 * * [simplify]: Extracting #0: cost 1 inf + 0 36.034 * * [simplify]: Extracting #1: cost 0 inf + 1 36.034 * [simplify]: Simplified to 0 36.034 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 36.034 * * * * [progress]: [ 78 / 253 ] simplifiying candidate # 36.034 * [simplify]: Simplifying (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))))))) 36.034 * * [simplify]: iters left: 6 (14 enodes) 36.041 * * [simplify]: iters left: 5 (60 enodes) 36.054 * * [simplify]: iters left: 4 (135 enodes) 36.105 * * [simplify]: iters left: 3 (283 enodes) 36.228 * * [simplify]: iters left: 2 (445 enodes) 36.425 * * [simplify]: Extracting #0: cost 1 inf + 0 36.425 * * [simplify]: Extracting #1: cost 6 inf + 0 36.425 * * [simplify]: Extracting #2: cost 64 inf + 1 36.426 * * [simplify]: Extracting #3: cost 110 inf + 408 36.427 * * [simplify]: Extracting #4: cost 103 inf + 1057 36.429 * * [simplify]: Extracting #5: cost 87 inf + 4376 36.437 * * [simplify]: Extracting #6: cost 17 inf + 27370 36.448 * * [simplify]: Extracting #7: cost 0 inf + 33240 36.461 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 36.461 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (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))))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 36.461 * [simplify]: Simplifying (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)))))) 36.462 * * [simplify]: iters left: 6 (13 enodes) 36.469 * * [simplify]: iters left: 5 (55 enodes) 36.490 * * [simplify]: iters left: 4 (121 enodes) 36.549 * * [simplify]: iters left: 3 (283 enodes) 36.643 * * [simplify]: iters left: 2 (477 enodes) 36.864 * * [simplify]: Extracting #0: cost 1 inf + 0 36.864 * * [simplify]: Extracting #1: cost 0 inf + 1 36.864 * [simplify]: Simplified to 0 36.865 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 36.865 * * * * [progress]: [ 79 / 253 ] simplifiying candidate # 36.865 * [simplify]: Simplifying (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x)))))) 36.865 * * [simplify]: iters left: 6 (13 enodes) 36.873 * * [simplify]: iters left: 5 (54 enodes) 36.893 * * [simplify]: iters left: 4 (98 enodes) 36.926 * * [simplify]: iters left: 3 (160 enodes) 36.985 * * [simplify]: iters left: 2 (225 enodes) 37.054 * * [simplify]: iters left: 1 (264 enodes) 37.138 * * [simplify]: Extracting #0: cost 1 inf + 0 37.139 * * [simplify]: Extracting #1: cost 6 inf + 0 37.139 * * [simplify]: Extracting #2: cost 33 inf + 1 37.139 * * [simplify]: Extracting #3: cost 52 inf + 568 37.141 * * [simplify]: Extracting #4: cost 30 inf + 4138 37.145 * * [simplify]: Extracting #5: cost 1 inf + 10100 37.150 * * [simplify]: Extracting #6: cost 0 inf + 10198 37.155 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 37.155 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (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)))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 37.155 * [simplify]: Simplifying (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))))) 37.155 * * [simplify]: iters left: 6 (12 enodes) 37.162 * * [simplify]: iters left: 5 (49 enodes) 37.179 * * [simplify]: iters left: 4 (86 enodes) 37.210 * * [simplify]: iters left: 3 (161 enodes) 37.251 * * [simplify]: iters left: 2 (251 enodes) 37.294 * * [simplify]: iters left: 1 (325 enodes) 37.368 * * [simplify]: Extracting #0: cost 1 inf + 0 37.368 * * [simplify]: Extracting #1: cost 0 inf + 1 37.368 * [simplify]: Simplified to 0 37.368 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 37.369 * * * * [progress]: [ 80 / 253 ] simplifiying candidate # 37.369 * [simplify]: Simplifying (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt 1/2) (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) 1)))) 37.369 * * [simplify]: iters left: 6 (12 enodes) 37.376 * * [simplify]: iters left: 5 (49 enodes) 37.399 * * [simplify]: iters left: 4 (99 enodes) 37.435 * * [simplify]: iters left: 3 (172 enodes) 37.487 * * [simplify]: iters left: 2 (264 enodes) 37.600 * * [simplify]: iters left: 1 (315 enodes) 37.664 * * [simplify]: Extracting #0: cost 1 inf + 0 37.664 * * [simplify]: Extracting #1: cost 6 inf + 0 37.664 * * [simplify]: Extracting #2: cost 28 inf + 1 37.665 * * [simplify]: Extracting #3: cost 37 inf + 852 37.666 * * [simplify]: Extracting #4: cost 15 inf + 4072 37.670 * * [simplify]: Extracting #5: cost 2 inf + 6426 37.673 * * [simplify]: Extracting #6: cost 0 inf + 6862 37.677 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 37.677 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (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)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 37.677 * [simplify]: Simplifying (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))) 37.677 * * [simplify]: iters left: 6 (11 enodes) 37.683 * * [simplify]: iters left: 5 (44 enodes) 37.702 * * [simplify]: iters left: 4 (86 enodes) 37.736 * * [simplify]: iters left: 3 (167 enodes) 37.784 * * [simplify]: iters left: 2 (260 enodes) 37.863 * * [simplify]: iters left: 1 (326 enodes) 37.932 * * [simplify]: Extracting #0: cost 1 inf + 0 37.932 * * [simplify]: Extracting #1: cost 0 inf + 1 37.932 * [simplify]: Simplified to 0 37.932 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 37.933 * * * * [progress]: [ 81 / 253 ] simplifiying candidate # 37.933 * [simplify]: Simplifying (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))))))) 37.933 * * [simplify]: iters left: 6 (12 enodes) 37.936 * * [simplify]: iters left: 5 (50 enodes) 37.946 * * [simplify]: iters left: 4 (92 enodes) 37.974 * * [simplify]: iters left: 3 (139 enodes) 38.020 * * [simplify]: iters left: 2 (179 enodes) 38.074 * * [simplify]: iters left: 1 (217 enodes) 38.136 * * [simplify]: Extracting #0: cost 1 inf + 0 38.136 * * [simplify]: Extracting #1: cost 6 inf + 0 38.136 * * [simplify]: Extracting #2: cost 32 inf + 1 38.136 * * [simplify]: Extracting #3: cost 58 inf + 43 38.136 * * [simplify]: Extracting #4: cost 51 inf + 307 38.137 * * [simplify]: Extracting #5: cost 23 inf + 5544 38.139 * * [simplify]: Extracting #6: cost 3 inf + 10452 38.142 * * [simplify]: Extracting #7: cost 0 inf + 11146 38.144 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 38.144 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (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))))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 38.145 * [simplify]: Simplifying (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)))))) 38.145 * * [simplify]: iters left: 6 (12 enodes) 38.148 * * [simplify]: iters left: 5 (48 enodes) 38.157 * * [simplify]: iters left: 4 (85 enodes) 38.184 * * [simplify]: iters left: 3 (136 enodes) 38.230 * * [simplify]: iters left: 2 (198 enodes) 38.262 * * [simplify]: iters left: 1 (259 enodes) 38.314 * * [simplify]: Extracting #0: cost 1 inf + 0 38.314 * * [simplify]: Extracting #1: cost 0 inf + 1 38.314 * [simplify]: Simplified to 0 38.314 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 38.314 * * * * [progress]: [ 82 / 253 ] simplifiying candidate # 38.315 * [simplify]: Simplifying (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))))) 38.315 * * [simplify]: iters left: 6 (10 enodes) 38.318 * * [simplify]: iters left: 5 (41 enodes) 38.324 * * [simplify]: iters left: 4 (63 enodes) 38.334 * * [simplify]: iters left: 3 (89 enodes) 38.349 * * [simplify]: iters left: 2 (110 enodes) 38.371 * * [simplify]: iters left: 1 (123 enodes) 38.391 * * [simplify]: Extracting #0: cost 1 inf + 0 38.391 * * [simplify]: Extracting #1: cost 6 inf + 0 38.391 * * [simplify]: Extracting #2: cost 22 inf + 1 38.391 * * [simplify]: Extracting #3: cost 34 inf + 124 38.392 * * [simplify]: Extracting #4: cost 21 inf + 1369 38.394 * * [simplify]: Extracting #5: cost 3 inf + 4211 38.396 * * [simplify]: Extracting #6: cost 0 inf + 4624 38.398 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 38.398 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (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)))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 38.398 * [simplify]: Simplifying (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))))) 38.399 * * [simplify]: iters left: 6 (10 enodes) 38.406 * * [simplify]: iters left: 5 (40 enodes) 38.418 * * [simplify]: iters left: 4 (63 enodes) 38.428 * * [simplify]: iters left: 3 (91 enodes) 38.442 * * [simplify]: iters left: 2 (120 enodes) 38.466 * * [simplify]: iters left: 1 (142 enodes) 38.500 * * [simplify]: Extracting #0: cost 1 inf + 0 38.500 * * [simplify]: Extracting #1: cost 0 inf + 1 38.500 * [simplify]: Simplified to 0 38.500 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 38.500 * * * * [progress]: [ 83 / 253 ] simplifiying candidate # 38.501 * [simplify]: Simplifying (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))) 38.501 * * [simplify]: iters left: 6 (10 enodes) 38.506 * * [simplify]: iters left: 5 (41 enodes) 38.523 * * [simplify]: iters left: 4 (72 enodes) 38.539 * * [simplify]: iters left: 3 (104 enodes) 38.554 * * [simplify]: iters left: 2 (117 enodes) 38.574 * * [simplify]: iters left: 1 (135 enodes) 38.598 * * [simplify]: Extracting #0: cost 1 inf + 0 38.598 * * [simplify]: Extracting #1: cost 9 inf + 0 38.598 * * [simplify]: Extracting #2: cost 23 inf + 1 38.598 * * [simplify]: Extracting #3: cost 22 inf + 329 38.599 * * [simplify]: Extracting #4: cost 9 inf + 2082 38.600 * * [simplify]: Extracting #5: cost 0 inf + 3203 38.600 * * [simplify]: Extracting #6: cost 0 inf + 3202 38.601 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 38.601 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (/ (sqrt 1/2) (hypot 1 x))) (/ (sqrt 1/2) 1) (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 38.602 * [simplify]: Simplifying (fma (- (/ (sqrt 1/2) (hypot 1 x))) (/ (sqrt 1/2) 1) (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1))) 38.602 * * [simplify]: iters left: 6 (10 enodes) 38.605 * * [simplify]: iters left: 5 (39 enodes) 38.614 * * [simplify]: iters left: 4 (64 enodes) 38.627 * * [simplify]: iters left: 3 (113 enodes) 38.648 * * [simplify]: iters left: 2 (130 enodes) 38.679 * * [simplify]: iters left: 1 (141 enodes) 38.706 * * [simplify]: Extracting #0: cost 1 inf + 0 38.706 * * [simplify]: Extracting #1: cost 0 inf + 1 38.706 * [simplify]: Simplified to 0 38.706 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 38.707 * * * * [progress]: [ 84 / 253 ] simplifiying candidate # 38.707 * [simplify]: Simplifying (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) 38.707 * * [simplify]: iters left: 6 (12 enodes) 38.714 * * [simplify]: iters left: 5 (51 enodes) 38.729 * * [simplify]: iters left: 4 (101 enodes) 38.748 * * [simplify]: iters left: 3 (175 enodes) 38.823 * * [simplify]: iters left: 2 (281 enodes) 38.901 * * [simplify]: iters left: 1 (383 enodes) 39.098 * * [simplify]: Extracting #0: cost 1 inf + 0 39.098 * * [simplify]: Extracting #1: cost 7 inf + 0 39.098 * * [simplify]: Extracting #2: cost 40 inf + 1 39.099 * * [simplify]: Extracting #3: cost 66 inf + 86 39.100 * * [simplify]: Extracting #4: cost 48 inf + 2507 39.106 * * [simplify]: Extracting #5: cost 6 inf + 9944 39.115 * * [simplify]: Extracting #6: cost 0 inf + 11293 39.123 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 39.123 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (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))))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 39.124 * [simplify]: Simplifying (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)))))) 39.124 * * [simplify]: iters left: 6 (11 enodes) 39.131 * * [simplify]: iters left: 5 (47 enodes) 39.145 * * [simplify]: iters left: 4 (85 enodes) 39.164 * * [simplify]: iters left: 3 (163 enodes) 39.212 * * [simplify]: iters left: 2 (299 enodes) 39.336 * * [simplify]: iters left: 1 (437 enodes) 39.490 * * [simplify]: Extracting #0: cost 1 inf + 0 39.491 * * [simplify]: Extracting #1: cost 0 inf + 1 39.491 * [simplify]: Simplified to 0 39.491 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 39.491 * * * * [progress]: [ 85 / 253 ] simplifiying candidate # 39.491 * [simplify]: Simplifying (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1/2 (sqrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x)))))) 39.491 * * [simplify]: iters left: 6 (11 enodes) 39.494 * * [simplify]: iters left: 5 (46 enodes) 39.512 * * [simplify]: iters left: 4 (79 enodes) 39.539 * * [simplify]: iters left: 3 (123 enodes) 39.588 * * [simplify]: iters left: 2 (177 enodes) 39.652 * * [simplify]: iters left: 1 (215 enodes) 39.694 * * [simplify]: Extracting #0: cost 1 inf + 0 39.694 * * [simplify]: Extracting #1: cost 16 inf + 0 39.695 * * [simplify]: Extracting #2: cost 32 inf + 45 39.695 * * [simplify]: Extracting #3: cost 41 inf + 86 39.696 * * [simplify]: Extracting #4: cost 33 inf + 729 39.697 * * [simplify]: Extracting #5: cost 13 inf + 3043 39.701 * * [simplify]: Extracting #6: cost 2 inf + 4643 39.704 * * [simplify]: Extracting #7: cost 0 inf + 4959 39.707 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 39.708 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (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)))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 39.708 * [simplify]: Simplifying (fma (- (/ 1/2 (sqrt (hypot 1 x)))) (/ 1 (sqrt (hypot 1 x))) (* (/ 1/2 (sqrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))))) 39.708 * * [simplify]: iters left: 6 (10 enodes) 39.717 * * [simplify]: iters left: 5 (42 enodes) 39.731 * * [simplify]: iters left: 4 (65 enodes) 39.756 * * [simplify]: iters left: 3 (111 enodes) 39.806 * * [simplify]: iters left: 2 (204 enodes) 39.871 * * [simplify]: iters left: 1 (244 enodes) 39.900 * * [simplify]: Extracting #0: cost 1 inf + 0 39.901 * * [simplify]: Extracting #1: cost 0 inf + 1 39.901 * [simplify]: Simplified to 0 39.901 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 39.901 * * * * [progress]: [ 86 / 253 ] simplifiying candidate # 39.901 * [simplify]: Simplifying (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) 39.901 * * [simplify]: iters left: 6 (10 enodes) 39.905 * * [simplify]: iters left: 5 (40 enodes) 39.912 * * [simplify]: iters left: 4 (55 enodes) 39.919 * * [simplify]: iters left: 3 (63 enodes) 39.937 * * [simplify]: iters left: 2 (67 enodes) 39.952 * * [simplify]: iters left: 1 (69 enodes) 39.967 * * [simplify]: Extracting #0: cost 1 inf + 0 39.967 * * [simplify]: Extracting #1: cost 6 inf + 0 39.967 * * [simplify]: Extracting #2: cost 12 inf + 1 39.967 * * [simplify]: Extracting #3: cost 9 inf + 86 39.968 * * [simplify]: Extracting #4: cost 8 inf + 87 39.968 * * [simplify]: Extracting #5: cost 1 inf + 731 39.969 * * [simplify]: Extracting #6: cost 0 inf + 869 39.969 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 39.969 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (/ 1/2 (hypot 1 x))) (/ 1 1) (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 39.970 * [simplify]: Simplifying (fma (- (/ 1/2 (hypot 1 x))) (/ 1 1) (* (/ 1/2 (hypot 1 x)) (/ 1 1))) 39.970 * * [simplify]: iters left: 6 (9 enodes) 39.976 * * [simplify]: iters left: 5 (35 enodes) 39.987 * * [simplify]: iters left: 4 (54 enodes) 39.995 * * [simplify]: iters left: 3 (62 enodes) 40.004 * * [simplify]: iters left: 2 (74 enodes) 40.014 * * [simplify]: iters left: 1 (84 enodes) 40.031 * * [simplify]: Extracting #0: cost 1 inf + 0 40.031 * * [simplify]: Extracting #1: cost 0 inf + 1 40.031 * [simplify]: Simplified to 0 40.031 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 40.031 * * * * [progress]: [ 87 / 253 ] simplifiying candidate # 40.032 * [simplify]: Simplifying (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1/2 (hypot 1 x)) 1))) 40.032 * * [simplify]: iters left: 6 (9 enodes) 40.037 * * [simplify]: iters left: 5 (37 enodes) 40.045 * * [simplify]: iters left: 4 (52 enodes) 40.054 * * [simplify]: iters left: 3 (60 enodes) 40.061 * * [simplify]: iters left: 2 (64 enodes) 40.075 * * [simplify]: iters left: 1 (66 enodes) 40.090 * * [simplify]: Extracting #0: cost 1 inf + 0 40.090 * * [simplify]: Extracting #1: cost 6 inf + 0 40.090 * * [simplify]: Extracting #2: cost 11 inf + 42 40.090 * * [simplify]: Extracting #3: cost 9 inf + 86 40.090 * * [simplify]: Extracting #4: cost 8 inf + 87 40.091 * * [simplify]: Extracting #5: cost 1 inf + 771 40.091 * * [simplify]: Extracting #6: cost 0 inf + 869 40.092 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 40.092 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (/ 1/2 (hypot 1 x))) 1 (* (/ 1/2 (hypot 1 x)) 1))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 40.092 * [simplify]: Simplifying (fma (- (/ 1/2 (hypot 1 x))) 1 (* (/ 1/2 (hypot 1 x)) 1)) 40.092 * * [simplify]: iters left: 6 (8 enodes) 40.098 * * [simplify]: iters left: 5 (32 enodes) 40.110 * * [simplify]: iters left: 4 (47 enodes) 40.118 * * [simplify]: iters left: 3 (55 enodes) 40.134 * * [simplify]: iters left: 2 (69 enodes) 40.151 * * [simplify]: iters left: 1 (73 enodes) 40.162 * * [simplify]: Extracting #0: cost 1 inf + 0 40.162 * * [simplify]: Extracting #1: cost 0 inf + 1 40.162 * [simplify]: Simplified to 0 40.162 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 40.162 * * * * [progress]: [ 88 / 253 ] simplifiying candidate # 40.163 * [simplify]: Simplifying (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 (hypot 1 x)) 1/2))) 40.163 * * [simplify]: iters left: 6 (9 enodes) 40.168 * * [simplify]: iters left: 5 (39 enodes) 40.175 * * [simplify]: iters left: 4 (55 enodes) 40.182 * * [simplify]: iters left: 3 (61 enodes) 40.191 * * [simplify]: iters left: 2 (70 enodes) 40.203 * * [simplify]: iters left: 1 (77 enodes) 40.220 * * [simplify]: Extracting #0: cost 1 inf + 0 40.220 * * [simplify]: Extracting #1: cost 10 inf + 0 40.220 * * [simplify]: Extracting #2: cost 17 inf + 2 40.220 * * [simplify]: Extracting #3: cost 16 inf + 45 40.221 * * [simplify]: Extracting #4: cost 14 inf + 87 40.221 * * [simplify]: Extracting #5: cost 5 inf + 966 40.222 * * [simplify]: Extracting #6: cost 0 inf + 1533 40.223 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 40.223 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (/ 1 (hypot 1 x))) 1/2 (* (/ 1 (hypot 1 x)) 1/2))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 40.223 * [simplify]: Simplifying (fma (- (/ 1 (hypot 1 x))) 1/2 (* (/ 1 (hypot 1 x)) 1/2)) 40.223 * * [simplify]: iters left: 6 (8 enodes) 40.229 * * [simplify]: iters left: 5 (34 enodes) 40.240 * * [simplify]: iters left: 4 (47 enodes) 40.250 * * [simplify]: iters left: 3 (65 enodes) 40.258 * * [simplify]: iters left: 2 (70 enodes) 40.267 * * [simplify]: Extracting #0: cost 1 inf + 0 40.267 * * [simplify]: Extracting #1: cost 0 inf + 1 40.267 * [simplify]: Simplified to 0 40.267 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 40.267 * * * * [progress]: [ 89 / 253 ] simplifiying candidate # 40.267 * [simplify]: Simplifying (fma 1 1/2 (- (* (cbrt (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x))))))) 40.267 * * [simplify]: iters left: 6 (10 enodes) 40.270 * * [simplify]: iters left: 5 (41 enodes) 40.279 * * [simplify]: iters left: 4 (58 enodes) 40.297 * * [simplify]: iters left: 3 (77 enodes) 40.323 * * [simplify]: iters left: 2 (118 enodes) 40.358 * * [simplify]: iters left: 1 (186 enodes) 40.402 * * [simplify]: Extracting #0: cost 1 inf + 0 40.402 * * [simplify]: Extracting #1: cost 5 inf + 0 40.402 * * [simplify]: Extracting #2: cost 30 inf + 2 40.402 * * [simplify]: Extracting #3: cost 76 inf + 3 40.403 * * [simplify]: Extracting #4: cost 68 inf + 417 40.404 * * [simplify]: Extracting #5: cost 58 inf + 2582 40.409 * * [simplify]: Extracting #6: cost 20 inf + 23389 40.417 * * [simplify]: Extracting #7: cost 0 inf + 38237 40.425 * [simplify]: Simplified to (+ 1/2 (/ -1/2 (hypot 1 x))) 40.425 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (+ 1/2 (/ -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))))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 40.425 * [simplify]: Simplifying (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)))))) 40.426 * * [simplify]: iters left: 6 (10 enodes) 40.431 * * [simplify]: iters left: 5 (37 enodes) 40.442 * * [simplify]: iters left: 4 (55 enodes) 40.454 * * [simplify]: iters left: 3 (99 enodes) 40.474 * * [simplify]: iters left: 2 (150 enodes) 40.522 * * [simplify]: iters left: 1 (220 enodes) 40.597 * * [simplify]: Extracting #0: cost 1 inf + 0 40.597 * * [simplify]: Extracting #1: cost 0 inf + 1 40.597 * [simplify]: Simplified to 0 40.597 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (+ 1/2 (/ -1/2 (hypot 1 x))) 0) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 40.598 * * * * [progress]: [ 90 / 253 ] simplifiying candidate # 40.598 * [simplify]: Simplifying (fma 1 1/2 (- (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) 40.598 * * [simplify]: iters left: 6 (9 enodes) 40.604 * * [simplify]: iters left: 5 (32 enodes) 40.614 * * [simplify]: iters left: 4 (40 enodes) 40.628 * * [simplify]: iters left: 3 (42 enodes) 40.639 * * [simplify]: Extracting #0: cost 1 inf + 0 40.639 * * [simplify]: Extracting #1: cost 5 inf + 0 40.639 * * [simplify]: Extracting #2: cost 9 inf + 2 40.639 * * [simplify]: Extracting #3: cost 13 inf + 3 40.640 * * [simplify]: Extracting #4: cost 8 inf + 314 40.640 * * [simplify]: Extracting #5: cost 0 inf + 1420 40.641 * [simplify]: Simplified to (+ 1/2 (/ -1/2 (hypot 1 x))) 40.641 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (+ 1/2 (/ -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)))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 40.641 * [simplify]: Simplifying (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))))) 40.641 * * [simplify]: iters left: 6 (9 enodes) 40.646 * * [simplify]: iters left: 5 (29 enodes) 40.656 * * [simplify]: iters left: 4 (39 enodes) 40.668 * * [simplify]: iters left: 3 (50 enodes) 40.683 * * [simplify]: iters left: 2 (53 enodes) 40.695 * * [simplify]: Extracting #0: cost 1 inf + 0 40.695 * * [simplify]: Extracting #1: cost 0 inf + 1 40.695 * [simplify]: Simplified to 0 40.695 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (+ 1/2 (/ -1/2 (hypot 1 x))) 0) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 40.696 * * * * [progress]: [ 91 / 253 ] simplifiying candidate # 40.696 * [simplify]: Simplifying (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))))))) 40.696 * * [simplify]: iters left: 6 (13 enodes) 40.704 * * [simplify]: iters left: 5 (57 enodes) 40.725 * * [simplify]: iters left: 4 (131 enodes) 40.787 * * [simplify]: iters left: 3 (279 enodes) 40.884 * * [simplify]: iters left: 2 (450 enodes) 41.043 * * [simplify]: Extracting #0: cost 1 inf + 0 41.044 * * [simplify]: Extracting #1: cost 5 inf + 0 41.044 * * [simplify]: Extracting #2: cost 51 inf + 2 41.044 * * [simplify]: Extracting #3: cost 104 inf + 487 41.045 * * [simplify]: Extracting #4: cost 101 inf + 975 41.045 * * [simplify]: Extracting #5: cost 81 inf + 5434 41.050 * * [simplify]: Extracting #6: cost 12 inf + 26849 41.055 * * [simplify]: Extracting #7: cost 0 inf + 32495 41.062 * [simplify]: Simplified to (+ 1/2 (/ -1/2 (hypot 1 x))) 41.062 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (+ 1/2 (/ -1/2 (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))))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 41.062 * [simplify]: Simplifying (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)))))) 41.062 * * [simplify]: iters left: 6 (13 enodes) 41.066 * * [simplify]: iters left: 5 (55 enodes) 41.077 * * [simplify]: iters left: 4 (121 enodes) 41.105 * * [simplify]: iters left: 3 (283 enodes) 41.181 * * [simplify]: iters left: 2 (477 enodes) 41.315 * * [simplify]: Extracting #0: cost 1 inf + 0 41.316 * * [simplify]: Extracting #1: cost 0 inf + 1 41.316 * [simplify]: Simplified to 0 41.316 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (+ 1/2 (/ -1/2 (hypot 1 x))) 0) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 41.316 * * * * [progress]: [ 92 / 253 ] simplifiying candidate # 41.316 * [simplify]: Simplifying (fma 1 1/2 (- (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x)))))) 41.316 * * [simplify]: iters left: 6 (12 enodes) 41.320 * * [simplify]: iters left: 5 (51 enodes) 41.332 * * [simplify]: iters left: 4 (94 enodes) 41.355 * * [simplify]: iters left: 3 (156 enodes) 41.413 * * [simplify]: iters left: 2 (221 enodes) 41.459 * * [simplify]: iters left: 1 (260 enodes) 41.535 * * [simplify]: Extracting #0: cost 1 inf + 0 41.536 * * [simplify]: Extracting #1: cost 5 inf + 0 41.536 * * [simplify]: Extracting #2: cost 29 inf + 2 41.536 * * [simplify]: Extracting #3: cost 50 inf + 487 41.538 * * [simplify]: Extracting #4: cost 24 inf + 5084 41.542 * * [simplify]: Extracting #5: cost 2 inf + 9602 41.549 * * [simplify]: Extracting #6: cost 0 inf + 10118 41.554 * [simplify]: Simplified to (+ 1/2 (/ -1/2 (hypot 1 x))) 41.554 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (+ 1/2 (/ -1/2 (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)))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 41.555 * [simplify]: Simplifying (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))))) 41.555 * * [simplify]: iters left: 6 (12 enodes) 41.562 * * [simplify]: iters left: 5 (49 enodes) 41.579 * * [simplify]: iters left: 4 (86 enodes) 41.610 * * [simplify]: iters left: 3 (161 enodes) 41.654 * * [simplify]: iters left: 2 (251 enodes) 41.705 * * [simplify]: iters left: 1 (325 enodes) 41.799 * * [simplify]: Extracting #0: cost 1 inf + 0 41.799 * * [simplify]: Extracting #1: cost 0 inf + 1 41.799 * [simplify]: Simplified to 0 41.799 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (+ 1/2 (/ -1/2 (hypot 1 x))) 0) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 41.799 * * * * [progress]: [ 93 / 253 ] simplifiying candidate # 41.800 * [simplify]: Simplifying (fma 1 1/2 (- (* (/ (cbrt 1/2) (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) 1)))) 41.800 * * [simplify]: iters left: 6 (11 enodes) 41.803 * * [simplify]: iters left: 5 (46 enodes) 41.812 * * [simplify]: iters left: 4 (95 enodes) 41.842 * * [simplify]: iters left: 3 (168 enodes) 41.891 * * [simplify]: iters left: 2 (258 enodes) 41.963 * * [simplify]: iters left: 1 (311 enodes) 42.079 * * [simplify]: Extracting #0: cost 1 inf + 0 42.079 * * [simplify]: Extracting #1: cost 5 inf + 0 42.079 * * [simplify]: Extracting #2: cost 24 inf + 2 42.080 * * [simplify]: Extracting #3: cost 33 inf + 1377 42.082 * * [simplify]: Extracting #4: cost 13 inf + 4547 42.086 * * [simplify]: Extracting #5: cost 1 inf + 6564 42.089 * * [simplify]: Extracting #6: cost 0 inf + 6782 42.092 * [simplify]: Simplified to (+ 1/2 (/ -1/2 (hypot 1 x))) 42.092 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (+ 1/2 (/ -1/2 (hypot 1 x))) (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)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 42.092 * [simplify]: Simplifying (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))) 42.092 * * [simplify]: iters left: 6 (11 enodes) 42.096 * * [simplify]: iters left: 5 (44 enodes) 42.104 * * [simplify]: iters left: 4 (86 enodes) 42.122 * * [simplify]: iters left: 3 (167 enodes) 42.181 * * [simplify]: iters left: 2 (260 enodes) 42.252 * * [simplify]: iters left: 1 (326 enodes) 42.348 * * [simplify]: Extracting #0: cost 1 inf + 0 42.348 * * [simplify]: Extracting #1: cost 0 inf + 1 42.349 * [simplify]: Simplified to 0 42.349 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (+ 1/2 (/ -1/2 (hypot 1 x))) 0) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 42.349 * * * * [progress]: [ 94 / 253 ] simplifiying candidate # 42.349 * [simplify]: Simplifying (fma 1 1/2 (- (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) 42.349 * * [simplify]: iters left: 6 (12 enodes) 42.356 * * [simplify]: iters left: 5 (50 enodes) 42.365 * * [simplify]: iters left: 4 (92 enodes) 42.380 * * [simplify]: iters left: 3 (136 enodes) 42.411 * * [simplify]: iters left: 2 (173 enodes) 42.438 * * [simplify]: iters left: 1 (210 enodes) 42.476 * * [simplify]: Extracting #0: cost 1 inf + 0 42.476 * * [simplify]: Extracting #1: cost 5 inf + 0 42.477 * * [simplify]: Extracting #2: cost 25 inf + 2 42.477 * * [simplify]: Extracting #3: cost 48 inf + 125 42.477 * * [simplify]: Extracting #4: cost 47 inf + 249 42.478 * * [simplify]: Extracting #5: cost 25 inf + 4193 42.479 * * [simplify]: Extracting #6: cost 2 inf + 8888 42.481 * * [simplify]: Extracting #7: cost 0 inf + 9204 42.484 * [simplify]: Simplified to (+ 1/2 (/ -1/2 (hypot 1 x))) 42.484 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (+ 1/2 (/ -1/2 (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))))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 42.484 * [simplify]: Simplifying (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)))))) 42.484 * * [simplify]: iters left: 6 (12 enodes) 42.488 * * [simplify]: iters left: 5 (48 enodes) 42.496 * * [simplify]: iters left: 4 (85 enodes) 42.523 * * [simplify]: iters left: 3 (136 enodes) 42.558 * * [simplify]: iters left: 2 (198 enodes) 42.596 * * [simplify]: iters left: 1 (259 enodes) 42.635 * * [simplify]: Extracting #0: cost 1 inf + 0 42.635 * * [simplify]: Extracting #1: cost 0 inf + 1 42.635 * [simplify]: Simplified to 0 42.635 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (+ 1/2 (/ -1/2 (hypot 1 x))) 0) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 42.636 * * * * [progress]: [ 95 / 253 ] simplifiying candidate # 42.636 * [simplify]: Simplifying (fma 1 1/2 (- (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))))) 42.636 * * [simplify]: iters left: 6 (10 enodes) 42.642 * * [simplify]: iters left: 5 (41 enodes) 42.654 * * [simplify]: iters left: 4 (63 enodes) 42.664 * * [simplify]: iters left: 3 (87 enodes) 42.676 * * [simplify]: iters left: 2 (108 enodes) 42.695 * * [simplify]: iters left: 1 (122 enodes) 42.723 * * [simplify]: Extracting #0: cost 1 inf + 0 42.723 * * [simplify]: Extracting #1: cost 5 inf + 0 42.723 * * [simplify]: Extracting #2: cost 19 inf + 2 42.723 * * [simplify]: Extracting #3: cost 32 inf + 125 42.724 * * [simplify]: Extracting #4: cost 21 inf + 1330 42.725 * * [simplify]: Extracting #5: cost 2 inf + 4350 42.726 * * [simplify]: Extracting #6: cost 0 inf + 4626 42.727 * [simplify]: Simplified to (+ 1/2 (/ -1/2 (hypot 1 x))) 42.727 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (+ 1/2 (/ -1/2 (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)))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 42.727 * [simplify]: Simplifying (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))))) 42.727 * * [simplify]: iters left: 6 (10 enodes) 42.730 * * [simplify]: iters left: 5 (40 enodes) 42.737 * * [simplify]: iters left: 4 (63 enodes) 42.748 * * [simplify]: iters left: 3 (91 enodes) 42.771 * * [simplify]: iters left: 2 (120 enodes) 42.795 * * [simplify]: iters left: 1 (142 enodes) 42.817 * * [simplify]: Extracting #0: cost 1 inf + 0 42.817 * * [simplify]: Extracting #1: cost 0 inf + 1 42.817 * [simplify]: Simplified to 0 42.817 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (+ 1/2 (/ -1/2 (hypot 1 x))) 0) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 42.817 * * * * [progress]: [ 96 / 253 ] simplifiying candidate # 42.817 * [simplify]: Simplifying (fma 1 1/2 (- (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))) 42.818 * * [simplify]: iters left: 6 (10 enodes) 42.823 * * [simplify]: iters left: 5 (41 enodes) 42.835 * * [simplify]: iters left: 4 (68 enodes) 42.846 * * [simplify]: iters left: 3 (94 enodes) 42.859 * * [simplify]: iters left: 2 (107 enodes) 42.887 * * [simplify]: iters left: 1 (120 enodes) 42.919 * * [simplify]: Extracting #0: cost 1 inf + 0 42.919 * * [simplify]: Extracting #1: cost 5 inf + 0 42.920 * * [simplify]: Extracting #2: cost 17 inf + 2 42.920 * * [simplify]: Extracting #3: cost 24 inf + 207 42.920 * * [simplify]: Extracting #4: cost 13 inf + 1241 42.921 * * [simplify]: Extracting #5: cost 1 inf + 3026 42.921 * * [simplify]: Extracting #6: cost 0 inf + 3204 42.922 * [simplify]: Simplified to (+ 1/2 (/ -1/2 (hypot 1 x))) 42.922 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (+ 1/2 (/ -1/2 (hypot 1 x))) (fma (- (/ (sqrt 1/2) (hypot 1 x))) (/ (sqrt 1/2) 1) (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 42.923 * [simplify]: Simplifying (fma (- (/ (sqrt 1/2) (hypot 1 x))) (/ (sqrt 1/2) 1) (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1))) 42.923 * * [simplify]: iters left: 6 (10 enodes) 42.926 * * [simplify]: iters left: 5 (39 enodes) 42.933 * * [simplify]: iters left: 4 (64 enodes) 42.944 * * [simplify]: iters left: 3 (113 enodes) 42.974 * * [simplify]: iters left: 2 (130 enodes) 42.992 * * [simplify]: iters left: 1 (141 enodes) 43.008 * * [simplify]: Extracting #0: cost 1 inf + 0 43.008 * * [simplify]: Extracting #1: cost 0 inf + 1 43.008 * [simplify]: Simplified to 0 43.008 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (+ 1/2 (/ -1/2 (hypot 1 x))) 0) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 43.008 * * * * [progress]: [ 97 / 253 ] simplifiying candidate # 43.008 * [simplify]: Simplifying (fma 1 1/2 (- (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) 43.009 * * [simplify]: iters left: 6 (11 enodes) 43.012 * * [simplify]: iters left: 5 (48 enodes) 43.027 * * [simplify]: iters left: 4 (97 enodes) 43.046 * * [simplify]: iters left: 3 (166 enodes) 43.102 * * [simplify]: iters left: 2 (274 enodes) 43.216 * * [simplify]: iters left: 1 (371 enodes) 43.399 * * [simplify]: Extracting #0: cost 1 inf + 0 43.399 * * [simplify]: Extracting #1: cost 7 inf + 0 43.400 * * [simplify]: Extracting #2: cost 37 inf + 2 43.400 * * [simplify]: Extracting #3: cost 65 inf + 4 43.401 * * [simplify]: Extracting #4: cost 57 inf + 610 43.404 * * [simplify]: Extracting #5: cost 26 inf + 5344 43.410 * * [simplify]: Extracting #6: cost 0 inf + 10993 43.418 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 43.418 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (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))))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 43.419 * [simplify]: Simplifying (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)))))) 43.419 * * [simplify]: iters left: 6 (11 enodes) 43.425 * * [simplify]: iters left: 5 (47 enodes) 43.440 * * [simplify]: iters left: 4 (85 enodes) 43.474 * * [simplify]: iters left: 3 (163 enodes) 43.529 * * [simplify]: iters left: 2 (299 enodes) 43.628 * * [simplify]: iters left: 1 (437 enodes) 43.826 * * [simplify]: Extracting #0: cost 1 inf + 0 43.826 * * [simplify]: Extracting #1: cost 0 inf + 1 43.826 * [simplify]: Simplified to 0 43.826 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 43.826 * * * * [progress]: [ 98 / 253 ] simplifiying candidate # 43.826 * [simplify]: Simplifying (fma 1 1/2 (- (* (/ 1/2 (sqrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x)))))) 43.827 * * [simplify]: iters left: 6 (10 enodes) 43.832 * * [simplify]: iters left: 5 (43 enodes) 43.849 * * [simplify]: iters left: 4 (75 enodes) 43.874 * * [simplify]: iters left: 3 (116 enodes) 43.902 * * [simplify]: iters left: 2 (170 enodes) 43.960 * * [simplify]: iters left: 1 (209 enodes) 44.000 * * [simplify]: Extracting #0: cost 1 inf + 0 44.000 * * [simplify]: Extracting #1: cost 15 inf + 0 44.000 * * [simplify]: Extracting #2: cost 31 inf + 4 44.001 * * [simplify]: Extracting #3: cost 41 inf + 4 44.001 * * [simplify]: Extracting #4: cost 38 inf + 160 44.002 * * [simplify]: Extracting #5: cost 18 inf + 2273 44.007 * * [simplify]: Extracting #6: cost 1 inf + 4739 44.010 * * [simplify]: Extracting #7: cost 0 inf + 4877 44.013 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 44.013 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (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)))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 44.014 * [simplify]: Simplifying (fma (- (/ 1/2 (sqrt (hypot 1 x)))) (/ 1 (sqrt (hypot 1 x))) (* (/ 1/2 (sqrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))))) 44.014 * * [simplify]: iters left: 6 (10 enodes) 44.019 * * [simplify]: iters left: 5 (42 enodes) 44.034 * * [simplify]: iters left: 4 (65 enodes) 44.060 * * [simplify]: iters left: 3 (111 enodes) 44.108 * * [simplify]: iters left: 2 (204 enodes) 44.156 * * [simplify]: iters left: 1 (244 enodes) 44.200 * * [simplify]: Extracting #0: cost 1 inf + 0 44.200 * * [simplify]: Extracting #1: cost 0 inf + 1 44.200 * [simplify]: Simplified to 0 44.200 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 44.200 * * * * [progress]: [ 99 / 253 ] simplifiying candidate # 44.200 * [simplify]: Simplifying (fma 1 1/2 (- (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) 44.201 * * [simplify]: iters left: 6 (9 enodes) 44.207 * * [simplify]: iters left: 5 (37 enodes) 44.217 * * [simplify]: iters left: 4 (49 enodes) 44.226 * * [simplify]: iters left: 3 (57 enodes) 44.234 * * [simplify]: iters left: 2 (61 enodes) 44.241 * * [simplify]: iters left: 1 (63 enodes) 44.248 * * [simplify]: Extracting #0: cost 1 inf + 0 44.248 * * [simplify]: Extracting #1: cost 5 inf + 0 44.248 * * [simplify]: Extracting #2: cost 8 inf + 2 44.248 * * [simplify]: Extracting #3: cost 9 inf + 4 44.248 * * [simplify]: Extracting #4: cost 6 inf + 160 44.248 * * [simplify]: Extracting #5: cost 0 inf + 789 44.248 * [simplify]: Simplified to (+ 1/2 (/ -1/2 (hypot 1 x))) 44.248 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (+ 1/2 (/ -1/2 (hypot 1 x))) (fma (- (/ 1/2 (hypot 1 x))) (/ 1 1) (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 44.249 * [simplify]: Simplifying (fma (- (/ 1/2 (hypot 1 x))) (/ 1 1) (* (/ 1/2 (hypot 1 x)) (/ 1 1))) 44.249 * * [simplify]: iters left: 6 (9 enodes) 44.252 * * [simplify]: iters left: 5 (35 enodes) 44.258 * * [simplify]: iters left: 4 (54 enodes) 44.265 * * [simplify]: iters left: 3 (62 enodes) 44.274 * * [simplify]: iters left: 2 (74 enodes) 44.283 * * [simplify]: iters left: 1 (84 enodes) 44.292 * * [simplify]: Extracting #0: cost 1 inf + 0 44.292 * * [simplify]: Extracting #1: cost 0 inf + 1 44.292 * [simplify]: Simplified to 0 44.292 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (+ 1/2 (/ -1/2 (hypot 1 x))) 0) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 44.292 * * * * [progress]: [ 100 / 253 ] simplifiying candidate # 44.292 * [simplify]: Simplifying (fma 1 1/2 (- (* (/ 1/2 (hypot 1 x)) 1))) 44.292 * * [simplify]: iters left: 6 (8 enodes) 44.296 * * [simplify]: iters left: 5 (34 enodes) 44.311 * * [simplify]: iters left: 4 (46 enodes) 44.321 * * [simplify]: iters left: 3 (54 enodes) 44.328 * * [simplify]: iters left: 2 (58 enodes) 44.335 * * [simplify]: iters left: 1 (60 enodes) 44.342 * * [simplify]: Extracting #0: cost 1 inf + 0 44.342 * * [simplify]: Extracting #1: cost 5 inf + 0 44.342 * * [simplify]: Extracting #2: cost 8 inf + 2 44.342 * * [simplify]: Extracting #3: cost 9 inf + 4 44.342 * * [simplify]: Extracting #4: cost 4 inf + 315 44.342 * * [simplify]: Extracting #5: cost 0 inf + 789 44.343 * [simplify]: Simplified to (+ 1/2 (/ -1/2 (hypot 1 x))) 44.343 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (+ 1/2 (/ -1/2 (hypot 1 x))) (fma (- (/ 1/2 (hypot 1 x))) 1 (* (/ 1/2 (hypot 1 x)) 1))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 44.343 * [simplify]: Simplifying (fma (- (/ 1/2 (hypot 1 x))) 1 (* (/ 1/2 (hypot 1 x)) 1)) 44.343 * * [simplify]: iters left: 6 (8 enodes) 44.348 * * [simplify]: iters left: 5 (32 enodes) 44.360 * * [simplify]: iters left: 4 (47 enodes) 44.366 * * [simplify]: iters left: 3 (55 enodes) 44.376 * * [simplify]: iters left: 2 (69 enodes) 44.385 * * [simplify]: iters left: 1 (73 enodes) 44.393 * * [simplify]: Extracting #0: cost 1 inf + 0 44.393 * * [simplify]: Extracting #1: cost 0 inf + 1 44.393 * [simplify]: Simplified to 0 44.393 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (+ 1/2 (/ -1/2 (hypot 1 x))) 0) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 44.394 * * * * [progress]: [ 101 / 253 ] simplifiying candidate # 44.394 * [simplify]: Simplifying (fma 1 1/2 (- (* (/ 1 (hypot 1 x)) 1/2))) 44.394 * * [simplify]: iters left: 6 (8 enodes) 44.399 * * [simplify]: iters left: 5 (35 enodes) 44.413 * * [simplify]: iters left: 4 (50 enodes) 44.426 * * [simplify]: iters left: 3 (56 enodes) 44.434 * * [simplify]: iters left: 2 (66 enodes) 44.442 * * [simplify]: iters left: 1 (73 enodes) 44.450 * * [simplify]: Extracting #0: cost 1 inf + 0 44.450 * * [simplify]: Extracting #1: cost 10 inf + 0 44.450 * * [simplify]: Extracting #2: cost 14 inf + 3 44.450 * * [simplify]: Extracting #3: cost 15 inf + 4 44.450 * * [simplify]: Extracting #4: cost 10 inf + 355 44.451 * * [simplify]: Extracting #5: cost 1 inf + 1314 44.451 * * [simplify]: Extracting #6: cost 0 inf + 1451 44.452 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 44.452 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (/ 1 (hypot 1 x))) 1/2 (* (/ 1 (hypot 1 x)) 1/2))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 44.452 * [simplify]: Simplifying (fma (- (/ 1 (hypot 1 x))) 1/2 (* (/ 1 (hypot 1 x)) 1/2)) 44.452 * * [simplify]: iters left: 6 (8 enodes) 44.455 * * [simplify]: iters left: 5 (34 enodes) 44.460 * * [simplify]: iters left: 4 (47 enodes) 44.468 * * [simplify]: iters left: 3 (65 enodes) 44.477 * * [simplify]: iters left: 2 (70 enodes) 44.488 * * [simplify]: Extracting #0: cost 1 inf + 0 44.488 * * [simplify]: Extracting #1: cost 0 inf + 1 44.488 * [simplify]: Simplified to 0 44.488 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 44.488 * * * * [progress]: [ 102 / 253 ] simplifiying candidate # 44.488 * * * * [progress]: [ 103 / 253 ] simplifiying candidate # 44.488 * * * * [progress]: [ 104 / 253 ] simplifiying candidate # 44.489 * [simplify]: Simplifying (* (cbrt 1/2) (cbrt 1/2)) 44.489 * * [simplify]: iters left: 3 (3 enodes) 44.491 * * [simplify]: iters left: 2 (9 enodes) 44.494 * * [simplify]: Extracting #0: cost 1 inf + 0 44.494 * * [simplify]: Extracting #1: cost 3 inf + 0 44.494 * * [simplify]: Extracting #2: cost 5 inf + 0 44.494 * * [simplify]: Extracting #3: cost 4 inf + 1 44.494 * * [simplify]: Extracting #4: cost 0 inf + 405 44.494 * [simplify]: Simplified to (* (cbrt 1/2) (cbrt 1/2)) 44.494 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 44.495 * * * * [progress]: [ 105 / 253 ] simplifiying candidate # 44.495 * [simplify]: Simplifying (sqrt 1/2) 44.495 * * [simplify]: iters left: 1 (2 enodes) 44.496 * * [simplify]: Extracting #0: cost 1 inf + 0 44.497 * * [simplify]: Extracting #1: cost 3 inf + 0 44.497 * * [simplify]: Extracting #2: cost 2 inf + 1 44.497 * * [simplify]: Extracting #3: cost 0 inf + 83 44.497 * [simplify]: Simplified to (sqrt 1/2) 44.497 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (fma (sqrt 1/2) (sqrt 1/2) (- (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 44.497 * * * * [progress]: [ 106 / 253 ] simplifiying candidate # 44.497 * * * * [progress]: [ 107 / 253 ] simplifiying candidate # 44.497 * [simplify]: Simplifying (/ (exp 1/2) (exp (/ 1/2 (hypot 1 x)))) 44.497 * * [simplify]: iters left: 6 (8 enodes) 44.505 * * [simplify]: iters left: 5 (28 enodes) 44.515 * * [simplify]: iters left: 4 (34 enodes) 44.526 * * [simplify]: iters left: 3 (42 enodes) 44.540 * * [simplify]: iters left: 2 (48 enodes) 44.551 * * [simplify]: iters left: 1 (52 enodes) 44.558 * * [simplify]: Extracting #0: cost 1 inf + 0 44.559 * * [simplify]: Extracting #1: cost 9 inf + 0 44.559 * * [simplify]: Extracting #2: cost 15 inf + 1 44.559 * * [simplify]: Extracting #3: cost 18 inf + 2 44.559 * * [simplify]: Extracting #4: cost 18 inf + 74 44.559 * * [simplify]: Extracting #5: cost 16 inf + 146 44.559 * * [simplify]: Extracting #6: cost 12 inf + 456 44.559 * * [simplify]: Extracting #7: cost 1 inf + 2364 44.560 * * [simplify]: Extracting #8: cost 0 inf + 2502 44.560 * [simplify]: Simplified to (exp (- 1/2 (/ 1/2 (hypot 1 x)))) 44.560 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (log (exp (- 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 44.560 * * * * [progress]: [ 108 / 253 ] simplifiying candidate # 44.560 * * * * [progress]: [ 109 / 253 ] simplifiying candidate # 44.560 * * * * [progress]: [ 110 / 253 ] simplifiying candidate # 44.561 * * * * [progress]: [ 111 / 253 ] simplifiying candidate # 44.561 * * * * [progress]: [ 112 / 253 ] simplifiying candidate # 44.561 * * * * [progress]: [ 113 / 253 ] simplifiying candidate # 44.561 * * * * [progress]: [ 114 / 253 ] simplifiying candidate # 44.561 * * * * [progress]: [ 115 / 253 ] simplifiying candidate # 44.561 * * * * [progress]: [ 116 / 253 ] simplifiying candidate # 44.561 * * * * [progress]: [ 117 / 253 ] simplifiying candidate # 44.561 * * * * [progress]: [ 118 / 253 ] simplifiying candidate # 44.561 * [simplify]: Simplifying (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) 44.561 * * [simplify]: iters left: 6 (8 enodes) 44.564 * * [simplify]: iters left: 5 (27 enodes) 44.568 * * [simplify]: iters left: 4 (29 enodes) 44.573 * * [simplify]: Extracting #0: cost 1 inf + 0 44.573 * * [simplify]: Extracting #1: cost 4 inf + 0 44.573 * * [simplify]: Extracting #2: cost 8 inf + 0 44.573 * * [simplify]: Extracting #3: cost 9 inf + 1 44.573 * * [simplify]: Extracting #4: cost 10 inf + 83 44.573 * * [simplify]: Extracting #5: cost 8 inf + 85 44.573 * * [simplify]: Extracting #6: cost 5 inf + 297 44.573 * * [simplify]: Extracting #7: cost 1 inf + 889 44.573 * * [simplify]: Extracting #8: cost 0 inf + 1107 44.574 * [simplify]: Simplified to (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) 44.574 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 44.574 * [simplify]: Simplifying (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) 44.574 * * [simplify]: iters left: 6 (8 enodes) 44.577 * * [simplify]: iters left: 5 (28 enodes) 44.582 * * [simplify]: iters left: 4 (33 enodes) 44.587 * * [simplify]: Extracting #0: cost 1 inf + 0 44.587 * * [simplify]: Extracting #1: cost 5 inf + 0 44.587 * * [simplify]: Extracting #2: cost 10 inf + 0 44.587 * * [simplify]: Extracting #3: cost 11 inf + 1 44.587 * * [simplify]: Extracting #4: cost 12 inf + 83 44.587 * * [simplify]: Extracting #5: cost 10 inf + 85 44.588 * * [simplify]: Extracting #6: cost 7 inf + 297 44.588 * * [simplify]: Extracting #7: cost 0 inf + 1463 44.588 * [simplify]: Simplified to (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) 44.588 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 44.588 * * * * [progress]: [ 119 / 253 ] simplifiying candidate # 44.588 * [simplify]: Simplifying (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 44.588 * * [simplify]: iters left: 6 (8 enodes) 44.591 * * [simplify]: iters left: 5 (27 enodes) 44.596 * * [simplify]: iters left: 4 (29 enodes) 44.605 * * [simplify]: Extracting #0: cost 1 inf + 0 44.605 * * [simplify]: Extracting #1: cost 4 inf + 0 44.605 * * [simplify]: Extracting #2: cost 8 inf + 0 44.605 * * [simplify]: Extracting #3: cost 9 inf + 1 44.605 * * [simplify]: Extracting #4: cost 10 inf + 83 44.605 * * [simplify]: Extracting #5: cost 8 inf + 85 44.605 * * [simplify]: Extracting #6: cost 5 inf + 296 44.606 * * [simplify]: Extracting #7: cost 1 inf + 967 44.606 * * [simplify]: Extracting #8: cost 0 inf + 1185 44.606 * [simplify]: Simplified to (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 44.606 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 44.607 * [simplify]: Simplifying (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 44.607 * * [simplify]: iters left: 6 (8 enodes) 44.612 * * [simplify]: iters left: 5 (28 enodes) 44.624 * * [simplify]: iters left: 4 (35 enodes) 44.634 * * [simplify]: iters left: 3 (37 enodes) 44.645 * * [simplify]: Extracting #0: cost 1 inf + 0 44.645 * * [simplify]: Extracting #1: cost 5 inf + 0 44.645 * * [simplify]: Extracting #2: cost 11 inf + 0 44.645 * * [simplify]: Extracting #3: cost 13 inf + 1 44.645 * * [simplify]: Extracting #4: cost 14 inf + 123 44.645 * * [simplify]: Extracting #5: cost 10 inf + 247 44.646 * * [simplify]: Extracting #6: cost 7 inf + 458 44.646 * * [simplify]: Extracting #7: cost 0 inf + 1783 44.647 * [simplify]: Simplified to (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 44.647 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 44.647 * * * * [progress]: [ 120 / 253 ] simplifiying candidate # 44.648 * [simplify]: Simplifying (- 1/2 (/ 1/2 (hypot 1 x))) 44.648 * * [simplify]: iters left: 5 (6 enodes) 44.651 * * [simplify]: iters left: 4 (22 enodes) 44.659 * * [simplify]: iters left: 3 (30 enodes) 44.669 * * [simplify]: iters left: 2 (32 enodes) 44.675 * * [simplify]: Extracting #0: cost 1 inf + 0 44.675 * * [simplify]: Extracting #1: cost 5 inf + 0 44.675 * * [simplify]: Extracting #2: cost 8 inf + 1 44.675 * * [simplify]: Extracting #3: cost 10 inf + 2 44.675 * * [simplify]: Extracting #4: cost 8 inf + 4 44.675 * * [simplify]: Extracting #5: cost 2 inf + 550 44.676 * * [simplify]: Extracting #6: cost 0 inf + 786 44.676 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 44.676 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* 1 (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 44.676 * * * * [progress]: [ 121 / 253 ] simplifiying candidate # 44.676 * * * * [progress]: [ 122 / 253 ] simplifiying candidate #real (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))> 44.676 * * * * [progress]: [ 123 / 253 ] simplifiying candidate # 44.676 * * * * [progress]: [ 124 / 253 ] simplifiying candidate # 44.676 * * * * [progress]: [ 125 / 253 ] simplifiying candidate # 44.676 * * * * [progress]: [ 126 / 253 ] simplifiying candidate # 44.676 * [simplify]: Simplifying (- (log (- 1/2 (/ 1/2 (hypot 1 x)))) (log (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 44.676 * * [simplify]: iters left: 6 (13 enodes) 44.680 * * [simplify]: iters left: 5 (47 enodes) 44.687 * * [simplify]: iters left: 4 (58 enodes) 44.696 * * [simplify]: iters left: 3 (60 enodes) 44.704 * * [simplify]: Extracting #0: cost 1 inf + 0 44.704 * * [simplify]: Extracting #1: cost 5 inf + 0 44.704 * * [simplify]: Extracting #2: cost 10 inf + 0 44.704 * * [simplify]: Extracting #3: cost 16 inf + 0 44.704 * * [simplify]: Extracting #4: cost 22 inf + 1 44.704 * * [simplify]: Extracting #5: cost 24 inf + 3 44.705 * * [simplify]: Extracting #6: cost 18 inf + 591 44.705 * * [simplify]: Extracting #7: cost 10 inf + 1914 44.706 * * [simplify]: Extracting #8: cost 2 inf + 4438 44.706 * * [simplify]: Extracting #9: cost 0 inf + 5134 44.707 * [simplify]: Simplified to (- (log (- 1/2 (/ 1/2 (hypot 1 x)))) (log (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 44.707 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (exp (- (log (- 1/2 (/ 1/2 (hypot 1 x)))) (log (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 44.707 * * * * [progress]: [ 127 / 253 ] simplifiying candidate # 44.707 * * * * [progress]: [ 128 / 253 ] simplifiying candidate # 44.707 * * * * [progress]: [ 129 / 253 ] simplifiying candidate # 44.708 * [simplify]: Simplifying (/ (* (* (- 1/2 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 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))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 44.708 * * [simplify]: iters left: 6 (15 enodes) 44.715 * * [simplify]: iters left: 5 (58 enodes) 44.732 * * [simplify]: iters left: 4 (130 enodes) 44.766 * * [simplify]: iters left: 3 (332 enodes) 44.986 * * [simplify]: Extracting #0: cost 1 inf + 0 44.987 * * [simplify]: Extracting #1: cost 51 inf + 0 44.988 * * [simplify]: Extracting #2: cost 181 inf + 3 44.989 * * [simplify]: Extracting #3: cost 270 inf + 5 44.993 * * [simplify]: Extracting #4: cost 236 inf + 6433 45.003 * * [simplify]: Extracting #5: cost 167 inf + 21929 45.025 * * [simplify]: Extracting #6: cost 80 inf + 52567 45.046 * * [simplify]: Extracting #7: cost 7 inf + 83977 45.077 * * [simplify]: Extracting #8: cost 0 inf + 87058 45.118 * [simplify]: Simplified to (/ (* (- 1/2 (/ 1/2 (hypot 1 x))) (* (- 1/2 (/ 1/2 (hypot 1 x))) (- 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))) 45.118 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (* (- 1/2 (/ 1/2 (hypot 1 x))) (* (- 1/2 (/ 1/2 (hypot 1 x))) (- 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)))))) 45.118 * * * * [progress]: [ 130 / 253 ] simplifiying candidate # 45.118 * * * * [progress]: [ 131 / 253 ] simplifiying candidate # 45.118 * * * * [progress]: [ 132 / 253 ] simplifiying candidate # 45.118 * * * * [progress]: [ 133 / 253 ] simplifiying candidate # 45.118 * * * * [progress]: [ 134 / 253 ] simplifiying candidate # 45.118 * [simplify]: Simplifying (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 45.118 * * [simplify]: iters left: 6 (10 enodes) 45.121 * * [simplify]: iters left: 5 (34 enodes) 45.126 * * [simplify]: iters left: 4 (36 enodes) 45.132 * * [simplify]: Extracting #0: cost 1 inf + 0 45.132 * * [simplify]: Extracting #1: cost 4 inf + 0 45.132 * * [simplify]: Extracting #2: cost 5 inf + 1 45.132 * * [simplify]: Extracting #3: cost 8 inf + 1 45.132 * * [simplify]: Extracting #4: cost 9 inf + 2 45.132 * * [simplify]: Extracting #5: cost 11 inf + 2 45.132 * * [simplify]: Extracting #6: cost 13 inf + 2 45.132 * * [simplify]: Extracting #7: cost 15 inf + 2 45.132 * * [simplify]: Extracting #8: cost 13 inf + 60 45.132 * * [simplify]: Extracting #9: cost 9 inf + 451 45.133 * * [simplify]: Extracting #10: cost 4 inf + 1381 45.133 * * [simplify]: Extracting #11: cost 0 inf + 2493 45.133 * [simplify]: Simplified to (/ 1/2 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 45.133 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1/2 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 45.134 * * * * [progress]: [ 135 / 253 ] simplifiying candidate # 45.134 * [simplify]: Simplifying (/ (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 45.134 * * [simplify]: iters left: 6 (15 enodes) 45.138 * * [simplify]: iters left: 5 (57 enodes) 45.155 * * [simplify]: iters left: 4 (80 enodes) 45.176 * * [simplify]: iters left: 3 (89 enodes) 45.188 * * [simplify]: iters left: 2 (92 enodes) 45.201 * * [simplify]: Extracting #0: cost 1 inf + 0 45.201 * * [simplify]: Extracting #1: cost 11 inf + 0 45.201 * * [simplify]: Extracting #2: cost 22 inf + 0 45.201 * * [simplify]: Extracting #3: cost 28 inf + 0 45.202 * * [simplify]: Extracting #4: cost 34 inf + 1 45.202 * * [simplify]: Extracting #5: cost 36 inf + 3 45.202 * * [simplify]: Extracting #6: cost 29 inf + 688 45.203 * * [simplify]: Extracting #7: cost 22 inf + 2014 45.204 * * [simplify]: Extracting #8: cost 19 inf + 2588 45.205 * * [simplify]: Extracting #9: cost 13 inf + 4616 45.211 * * [simplify]: Extracting #10: cost 1 inf + 10592 45.215 * * [simplify]: Extracting #11: cost 0 inf + 11050 45.219 * [simplify]: Simplified to (* (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 45.219 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (* (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 45.220 * [simplify]: Simplifying (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 45.220 * * [simplify]: iters left: 6 (13 enodes) 45.226 * * [simplify]: iters left: 5 (45 enodes) 45.241 * * [simplify]: iters left: 4 (53 enodes) 45.256 * * [simplify]: iters left: 3 (55 enodes) 45.272 * * [simplify]: Extracting #0: cost 1 inf + 0 45.272 * * [simplify]: Extracting #1: cost 4 inf + 0 45.272 * * [simplify]: Extracting #2: cost 8 inf + 0 45.272 * * [simplify]: Extracting #3: cost 14 inf + 0 45.272 * * [simplify]: Extracting #4: cost 20 inf + 1 45.272 * * [simplify]: Extracting #5: cost 22 inf + 3 45.272 * * [simplify]: Extracting #6: cost 17 inf + 493 45.273 * * [simplify]: Extracting #7: cost 8 inf + 1894 45.274 * * [simplify]: Extracting #8: cost 1 inf + 3980 45.275 * * [simplify]: Extracting #9: cost 0 inf + 4478 45.277 * [simplify]: Simplified to (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 45.277 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 45.277 * * * * [progress]: [ 136 / 253 ] simplifiying candidate # 45.278 * [simplify]: Simplifying (/ (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 45.278 * * [simplify]: iters left: 6 (15 enodes) 45.285 * * [simplify]: iters left: 5 (54 enodes) 45.302 * * [simplify]: iters left: 4 (66 enodes) 45.318 * * [simplify]: iters left: 3 (71 enodes) 45.328 * * [simplify]: Extracting #0: cost 1 inf + 0 45.328 * * [simplify]: Extracting #1: cost 7 inf + 0 45.328 * * [simplify]: Extracting #2: cost 15 inf + 0 45.328 * * [simplify]: Extracting #3: cost 22 inf + 0 45.329 * * [simplify]: Extracting #4: cost 28 inf + 1 45.329 * * [simplify]: Extracting #5: cost 30 inf + 3 45.329 * * [simplify]: Extracting #6: cost 22 inf + 866 45.329 * * [simplify]: Extracting #7: cost 7 inf + 4416 45.330 * * [simplify]: Extracting #8: cost 1 inf + 7324 45.331 * * [simplify]: Extracting #9: cost 0 inf + 7822 45.333 * [simplify]: Simplified to (/ (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 45.333 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 45.333 * [simplify]: Simplifying (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 45.333 * * [simplify]: iters left: 6 (13 enodes) 45.336 * * [simplify]: iters left: 5 (45 enodes) 45.345 * * [simplify]: iters left: 4 (53 enodes) 45.353 * * [simplify]: iters left: 3 (55 enodes) 45.361 * * [simplify]: Extracting #0: cost 1 inf + 0 45.361 * * [simplify]: Extracting #1: cost 4 inf + 0 45.361 * * [simplify]: Extracting #2: cost 8 inf + 0 45.361 * * [simplify]: Extracting #3: cost 14 inf + 0 45.361 * * [simplify]: Extracting #4: cost 20 inf + 1 45.361 * * [simplify]: Extracting #5: cost 22 inf + 3 45.362 * * [simplify]: Extracting #6: cost 17 inf + 493 45.362 * * [simplify]: Extracting #7: cost 8 inf + 1894 45.363 * * [simplify]: Extracting #8: cost 1 inf + 4060 45.365 * * [simplify]: Extracting #9: cost 0 inf + 4558 45.366 * [simplify]: Simplified to (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 45.366 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (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)))) (sqrt (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 45.366 * * * * [progress]: [ 137 / 253 ] simplifiying candidate # 45.367 * [simplify]: Simplifying (/ (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 45.367 * * [simplify]: iters left: 6 (14 enodes) 45.373 * * [simplify]: iters left: 5 (50 enodes) 45.388 * * [simplify]: iters left: 4 (62 enodes) 45.398 * * [simplify]: iters left: 3 (67 enodes) 45.407 * * [simplify]: Extracting #0: cost 1 inf + 0 45.407 * * [simplify]: Extracting #1: cost 7 inf + 0 45.407 * * [simplify]: Extracting #2: cost 14 inf + 0 45.407 * * [simplify]: Extracting #3: cost 20 inf + 0 45.407 * * [simplify]: Extracting #4: cost 26 inf + 1 45.407 * * [simplify]: Extracting #5: cost 28 inf + 3 45.407 * * [simplify]: Extracting #6: cost 22 inf + 670 45.408 * * [simplify]: Extracting #7: cost 4 inf + 5034 45.409 * * [simplify]: Extracting #8: cost 0 inf + 6746 45.410 * [simplify]: Simplified to (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (sqrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))))) 45.410 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (sqrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))))) (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 45.410 * [simplify]: Simplifying (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 45.410 * * [simplify]: iters left: 6 (13 enodes) 45.414 * * [simplify]: iters left: 5 (45 enodes) 45.425 * * [simplify]: iters left: 4 (53 enodes) 45.436 * * [simplify]: iters left: 3 (55 enodes) 45.445 * * [simplify]: Extracting #0: cost 1 inf + 0 45.445 * * [simplify]: Extracting #1: cost 4 inf + 0 45.445 * * [simplify]: Extracting #2: cost 8 inf + 0 45.445 * * [simplify]: Extracting #3: cost 14 inf + 0 45.445 * * [simplify]: Extracting #4: cost 20 inf + 1 45.445 * * [simplify]: Extracting #5: cost 22 inf + 3 45.446 * * [simplify]: Extracting #6: cost 17 inf + 493 45.446 * * [simplify]: Extracting #7: cost 8 inf + 1894 45.446 * * [simplify]: Extracting #8: cost 1 inf + 3860 45.447 * * [simplify]: Extracting #9: cost 0 inf + 4318 45.448 * [simplify]: Simplified to (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 45.448 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 45.448 * * * * [progress]: [ 138 / 253 ] simplifiying candidate # 45.448 * [simplify]: Simplifying (/ (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1)) 45.448 * * [simplify]: iters left: 6 (10 enodes) 45.451 * * [simplify]: iters left: 5 (36 enodes) 45.457 * * [simplify]: iters left: 4 (48 enodes) 45.469 * * [simplify]: iters left: 3 (54 enodes) 45.481 * * [simplify]: iters left: 2 (55 enodes) 45.488 * * [simplify]: Extracting #0: cost 1 inf + 0 45.488 * * [simplify]: Extracting #1: cost 5 inf + 0 45.488 * * [simplify]: Extracting #2: cost 7 inf + 1 45.488 * * [simplify]: Extracting #3: cost 11 inf + 1 45.488 * * [simplify]: Extracting #4: cost 14 inf + 2 45.488 * * [simplify]: Extracting #5: cost 15 inf + 3 45.488 * * [simplify]: Extracting #6: cost 12 inf + 118 45.488 * * [simplify]: Extracting #7: cost 7 inf + 688 45.489 * * [simplify]: Extracting #8: cost 3 inf + 1480 45.489 * * [simplify]: Extracting #9: cost 1 inf + 1996 45.489 * * [simplify]: Extracting #10: cost 0 inf + 2254 45.490 * [simplify]: Simplified to (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) 45.490 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 45.490 * [simplify]: Simplifying (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 45.490 * * [simplify]: iters left: 6 (12 enodes) 45.493 * * [simplify]: iters left: 5 (42 enodes) 45.499 * * [simplify]: iters left: 4 (50 enodes) 45.506 * * [simplify]: iters left: 3 (52 enodes) 45.515 * * [simplify]: Extracting #0: cost 1 inf + 0 45.515 * * [simplify]: Extracting #1: cost 4 inf + 0 45.515 * * [simplify]: Extracting #2: cost 8 inf + 0 45.515 * * [simplify]: Extracting #3: cost 15 inf + 0 45.515 * * [simplify]: Extracting #4: cost 19 inf + 2 45.515 * * [simplify]: Extracting #5: cost 21 inf + 3 45.515 * * [simplify]: Extracting #6: cost 15 inf + 492 45.516 * * [simplify]: Extracting #7: cost 6 inf + 2014 45.517 * * [simplify]: Extracting #8: cost 1 inf + 3224 45.518 * * [simplify]: Extracting #9: cost 0 inf + 3642 45.519 * [simplify]: Simplified to (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 45.519 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 45.519 * * * * [progress]: [ 139 / 253 ] simplifiying candidate # 45.520 * [simplify]: Simplifying (/ (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt 1))) 45.520 * * [simplify]: iters left: 6 (11 enodes) 45.526 * * [simplify]: iters left: 5 (39 enodes) 45.538 * * [simplify]: iters left: 4 (51 enodes) 45.554 * * [simplify]: iters left: 3 (57 enodes) 45.568 * * [simplify]: iters left: 2 (58 enodes) 45.583 * * [simplify]: Extracting #0: cost 1 inf + 0 45.583 * * [simplify]: Extracting #1: cost 5 inf + 0 45.583 * * [simplify]: Extracting #2: cost 7 inf + 1 45.583 * * [simplify]: Extracting #3: cost 11 inf + 1 45.583 * * [simplify]: Extracting #4: cost 14 inf + 2 45.583 * * [simplify]: Extracting #5: cost 15 inf + 3 45.583 * * [simplify]: Extracting #6: cost 12 inf + 159 45.584 * * [simplify]: Extracting #7: cost 7 inf + 648 45.584 * * [simplify]: Extracting #8: cost 1 inf + 1996 45.585 * * [simplify]: Extracting #9: cost 0 inf + 2254 45.586 * [simplify]: Simplified to (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) 45.586 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 45.586 * [simplify]: Simplifying (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 45.587 * * [simplify]: iters left: 6 (13 enodes) 45.594 * * [simplify]: iters left: 5 (45 enodes) 45.608 * * [simplify]: iters left: 4 (53 enodes) 45.622 * * [simplify]: iters left: 3 (55 enodes) 45.638 * * [simplify]: Extracting #0: cost 1 inf + 0 45.638 * * [simplify]: Extracting #1: cost 4 inf + 0 45.638 * * [simplify]: Extracting #2: cost 8 inf + 0 45.638 * * [simplify]: Extracting #3: cost 15 inf + 0 45.638 * * [simplify]: Extracting #4: cost 19 inf + 2 45.638 * * [simplify]: Extracting #5: cost 21 inf + 3 45.638 * * [simplify]: Extracting #6: cost 13 inf + 809 45.639 * * [simplify]: Extracting #7: cost 1 inf + 3224 45.640 * * [simplify]: Extracting #8: cost 0 inf + 3642 45.642 * [simplify]: Simplified to (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 45.642 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 45.642 * * * * [progress]: [ 140 / 253 ] simplifiying candidate # 45.642 * [simplify]: Simplifying (/ (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt 1))) 45.642 * * [simplify]: iters left: 6 (11 enodes) 45.648 * * [simplify]: iters left: 5 (39 enodes) 45.661 * * [simplify]: iters left: 4 (51 enodes) 45.674 * * [simplify]: iters left: 3 (57 enodes) 45.681 * * [simplify]: iters left: 2 (58 enodes) 45.690 * * [simplify]: Extracting #0: cost 1 inf + 0 45.690 * * [simplify]: Extracting #1: cost 5 inf + 0 45.690 * * [simplify]: Extracting #2: cost 7 inf + 1 45.690 * * [simplify]: Extracting #3: cost 11 inf + 1 45.690 * * [simplify]: Extracting #4: cost 14 inf + 2 45.691 * * [simplify]: Extracting #5: cost 15 inf + 3 45.691 * * [simplify]: Extracting #6: cost 12 inf + 159 45.691 * * [simplify]: Extracting #7: cost 7 inf + 648 45.691 * * [simplify]: Extracting #8: cost 1 inf + 1996 45.692 * * [simplify]: Extracting #9: cost 0 inf + 2254 45.692 * [simplify]: Simplified to (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) 45.692 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 45.693 * [simplify]: Simplifying (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 45.693 * * [simplify]: iters left: 6 (13 enodes) 45.697 * * [simplify]: iters left: 5 (45 enodes) 45.708 * * [simplify]: iters left: 4 (53 enodes) 45.724 * * [simplify]: iters left: 3 (55 enodes) 45.735 * * [simplify]: Extracting #0: cost 1 inf + 0 45.735 * * [simplify]: Extracting #1: cost 4 inf + 0 45.735 * * [simplify]: Extracting #2: cost 8 inf + 0 45.735 * * [simplify]: Extracting #3: cost 15 inf + 0 45.735 * * [simplify]: Extracting #4: cost 19 inf + 2 45.735 * * [simplify]: Extracting #5: cost 21 inf + 3 45.736 * * [simplify]: Extracting #6: cost 13 inf + 809 45.736 * * [simplify]: Extracting #7: cost 1 inf + 3224 45.737 * * [simplify]: Extracting #8: cost 0 inf + 3642 45.737 * [simplify]: Simplified to (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 45.737 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 45.737 * * * * [progress]: [ 141 / 253 ] simplifiying candidate # 45.738 * [simplify]: Simplifying (/ (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1)) 45.738 * * [simplify]: iters left: 6 (10 enodes) 45.741 * * [simplify]: iters left: 5 (36 enodes) 45.747 * * [simplify]: iters left: 4 (48 enodes) 45.754 * * [simplify]: iters left: 3 (54 enodes) 45.763 * * [simplify]: iters left: 2 (55 enodes) 45.776 * * [simplify]: Extracting #0: cost 1 inf + 0 45.776 * * [simplify]: Extracting #1: cost 5 inf + 0 45.777 * * [simplify]: Extracting #2: cost 7 inf + 1 45.777 * * [simplify]: Extracting #3: cost 11 inf + 1 45.777 * * [simplify]: Extracting #4: cost 14 inf + 2 45.777 * * [simplify]: Extracting #5: cost 15 inf + 3 45.777 * * [simplify]: Extracting #6: cost 12 inf + 118 45.777 * * [simplify]: Extracting #7: cost 7 inf + 688 45.778 * * [simplify]: Extracting #8: cost 3 inf + 1480 45.779 * * [simplify]: Extracting #9: cost 1 inf + 1996 45.779 * * [simplify]: Extracting #10: cost 0 inf + 2254 45.780 * [simplify]: Simplified to (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) 45.780 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 45.780 * [simplify]: Simplifying (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 45.780 * * [simplify]: iters left: 6 (12 enodes) 45.783 * * [simplify]: iters left: 5 (42 enodes) 45.790 * * [simplify]: iters left: 4 (50 enodes) 45.800 * * [simplify]: iters left: 3 (52 enodes) 45.808 * * [simplify]: Extracting #0: cost 1 inf + 0 45.808 * * [simplify]: Extracting #1: cost 4 inf + 0 45.808 * * [simplify]: Extracting #2: cost 8 inf + 0 45.808 * * [simplify]: Extracting #3: cost 15 inf + 0 45.808 * * [simplify]: Extracting #4: cost 19 inf + 2 45.808 * * [simplify]: Extracting #5: cost 21 inf + 3 45.808 * * [simplify]: Extracting #6: cost 15 inf + 492 45.809 * * [simplify]: Extracting #7: cost 6 inf + 2014 45.810 * * [simplify]: Extracting #8: cost 1 inf + 3224 45.811 * * [simplify]: Extracting #9: cost 0 inf + 3642 45.813 * [simplify]: Simplified to (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 45.813 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 45.813 * * * * [progress]: [ 142 / 253 ] simplifiying candidate # 45.813 * [simplify]: Simplifying (/ (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 45.813 * * [simplify]: iters left: 6 (14 enodes) 45.820 * * [simplify]: iters left: 5 (50 enodes) 45.835 * * [simplify]: iters left: 4 (62 enodes) 45.852 * * [simplify]: iters left: 3 (67 enodes) 45.871 * * [simplify]: Extracting #0: cost 1 inf + 0 45.871 * * [simplify]: Extracting #1: cost 7 inf + 0 45.871 * * [simplify]: Extracting #2: cost 14 inf + 0 45.871 * * [simplify]: Extracting #3: cost 20 inf + 0 45.871 * * [simplify]: Extracting #4: cost 26 inf + 1 45.871 * * [simplify]: Extracting #5: cost 28 inf + 3 45.872 * * [simplify]: Extracting #6: cost 22 inf + 670 45.873 * * [simplify]: Extracting #7: cost 4 inf + 5034 45.875 * * [simplify]: Extracting #8: cost 0 inf + 6746 45.877 * [simplify]: Simplified to (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (sqrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))))) 45.877 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (sqrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))))) (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 45.877 * [simplify]: Simplifying (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 45.878 * * [simplify]: iters left: 6 (13 enodes) 45.884 * * [simplify]: iters left: 5 (45 enodes) 45.897 * * [simplify]: iters left: 4 (53 enodes) 45.906 * * [simplify]: iters left: 3 (55 enodes) 45.913 * * [simplify]: Extracting #0: cost 1 inf + 0 45.913 * * [simplify]: Extracting #1: cost 4 inf + 0 45.913 * * [simplify]: Extracting #2: cost 8 inf + 0 45.913 * * [simplify]: Extracting #3: cost 14 inf + 0 45.913 * * [simplify]: Extracting #4: cost 20 inf + 1 45.913 * * [simplify]: Extracting #5: cost 22 inf + 3 45.913 * * [simplify]: Extracting #6: cost 17 inf + 493 45.914 * * [simplify]: Extracting #7: cost 8 inf + 1894 45.914 * * [simplify]: Extracting #8: cost 1 inf + 3860 45.915 * * [simplify]: Extracting #9: cost 0 inf + 4318 45.915 * [simplify]: Simplified to (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 45.915 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 45.916 * * * * [progress]: [ 143 / 253 ] simplifiying candidate # 45.916 * [simplify]: Simplifying (/ (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) 1) 45.916 * * [simplify]: iters left: 6 (9 enodes) 45.920 * * [simplify]: iters left: 5 (31 enodes) 45.925 * * [simplify]: iters left: 4 (47 enodes) 45.936 * * [simplify]: iters left: 3 (50 enodes) 45.949 * * [simplify]: Extracting #0: cost 1 inf + 0 45.949 * * [simplify]: Extracting #1: cost 5 inf + 0 45.949 * * [simplify]: Extracting #2: cost 7 inf + 1 45.949 * * [simplify]: Extracting #3: cost 11 inf + 1 45.949 * * [simplify]: Extracting #4: cost 14 inf + 2 45.950 * * [simplify]: Extracting #5: cost 15 inf + 3 45.950 * * [simplify]: Extracting #6: cost 12 inf + 159 45.950 * * [simplify]: Extracting #7: cost 7 inf + 648 45.951 * * [simplify]: Extracting #8: cost 1 inf + 1996 45.951 * * [simplify]: Extracting #9: cost 0 inf + 2254 45.952 * [simplify]: Simplified to (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) 45.952 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 45.952 * [simplify]: Simplifying (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 45.952 * * [simplify]: iters left: 6 (12 enodes) 45.955 * * [simplify]: iters left: 5 (42 enodes) 45.961 * * [simplify]: iters left: 4 (50 enodes) 45.968 * * [simplify]: iters left: 3 (52 enodes) 45.980 * * [simplify]: Extracting #0: cost 1 inf + 0 45.980 * * [simplify]: Extracting #1: cost 4 inf + 0 45.980 * * [simplify]: Extracting #2: cost 8 inf + 0 45.980 * * [simplify]: Extracting #3: cost 15 inf + 0 45.980 * * [simplify]: Extracting #4: cost 19 inf + 2 45.980 * * [simplify]: Extracting #5: cost 21 inf + 3 45.980 * * [simplify]: Extracting #6: cost 15 inf + 492 45.981 * * [simplify]: Extracting #7: cost 6 inf + 2014 45.982 * * [simplify]: Extracting #8: cost 1 inf + 3224 45.983 * * [simplify]: Extracting #9: cost 0 inf + 3642 45.984 * [simplify]: Simplified to (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 45.984 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 45.984 * * * * [progress]: [ 144 / 253 ] simplifiying candidate # 45.985 * [simplify]: Simplifying (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 45.985 * * [simplify]: iters left: 6 (14 enodes) 45.990 * * [simplify]: iters left: 5 (50 enodes) 45.997 * * [simplify]: iters left: 4 (60 enodes) 46.005 * * [simplify]: iters left: 3 (62 enodes) 46.015 * * [simplify]: Extracting #0: cost 1 inf + 0 46.015 * * [simplify]: Extracting #1: cost 6 inf + 0 46.015 * * [simplify]: Extracting #2: cost 12 inf + 0 46.015 * * [simplify]: Extracting #3: cost 18 inf + 0 46.015 * * [simplify]: Extracting #4: cost 24 inf + 1 46.015 * * [simplify]: Extracting #5: cost 26 inf + 3 46.015 * * [simplify]: Extracting #6: cost 22 inf + 354 46.016 * * [simplify]: Extracting #7: cost 12 inf + 1814 46.018 * * [simplify]: Extracting #8: cost 3 inf + 4736 46.019 * * [simplify]: Extracting #9: cost 0 inf + 6070 46.021 * [simplify]: Simplified to (/ (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 46.021 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 46.022 * [simplify]: Simplifying (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 46.022 * * [simplify]: iters left: 6 (13 enodes) 46.029 * * [simplify]: iters left: 5 (45 enodes) 46.042 * * [simplify]: iters left: 4 (53 enodes) 46.056 * * [simplify]: iters left: 3 (55 enodes) 46.071 * * [simplify]: Extracting #0: cost 1 inf + 0 46.071 * * [simplify]: Extracting #1: cost 4 inf + 0 46.071 * * [simplify]: Extracting #2: cost 8 inf + 0 46.071 * * [simplify]: Extracting #3: cost 14 inf + 0 46.071 * * [simplify]: Extracting #4: cost 20 inf + 1 46.071 * * [simplify]: Extracting #5: cost 22 inf + 3 46.072 * * [simplify]: Extracting #6: cost 17 inf + 493 46.072 * * [simplify]: Extracting #7: cost 8 inf + 1814 46.073 * * [simplify]: Extracting #8: cost 1 inf + 3860 46.075 * * [simplify]: Extracting #9: cost 0 inf + 4318 46.076 * [simplify]: Simplified to (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 46.076 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 46.076 * * * * [progress]: [ 145 / 253 ] simplifiying candidate # 46.077 * [simplify]: Simplifying (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 46.077 * * [simplify]: iters left: 6 (14 enodes) 46.084 * * [simplify]: iters left: 5 (49 enodes) 46.099 * * [simplify]: iters left: 4 (57 enodes) 46.111 * * [simplify]: iters left: 3 (59 enodes) 46.119 * * [simplify]: Extracting #0: cost 1 inf + 0 46.119 * * [simplify]: Extracting #1: cost 4 inf + 0 46.119 * * [simplify]: Extracting #2: cost 9 inf + 0 46.119 * * [simplify]: Extracting #3: cost 16 inf + 0 46.119 * * [simplify]: Extracting #4: cost 22 inf + 1 46.119 * * [simplify]: Extracting #5: cost 24 inf + 3 46.119 * * [simplify]: Extracting #6: cost 19 inf + 493 46.120 * * [simplify]: Extracting #7: cost 10 inf + 1854 46.120 * * [simplify]: Extracting #8: cost 2 inf + 4278 46.121 * * [simplify]: Extracting #9: cost 0 inf + 5074 46.122 * [simplify]: Simplified to (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (fabs (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 46.122 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (fabs (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 46.122 * [simplify]: Simplifying (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 46.122 * * [simplify]: iters left: 6 (13 enodes) 46.125 * * [simplify]: iters left: 5 (45 enodes) 46.132 * * [simplify]: iters left: 4 (53 enodes) 46.146 * * [simplify]: iters left: 3 (55 enodes) 46.161 * * [simplify]: Extracting #0: cost 1 inf + 0 46.161 * * [simplify]: Extracting #1: cost 4 inf + 0 46.161 * * [simplify]: Extracting #2: cost 8 inf + 0 46.161 * * [simplify]: Extracting #3: cost 14 inf + 0 46.162 * * [simplify]: Extracting #4: cost 20 inf + 1 46.162 * * [simplify]: Extracting #5: cost 22 inf + 3 46.162 * * [simplify]: Extracting #6: cost 17 inf + 493 46.163 * * [simplify]: Extracting #7: cost 8 inf + 1814 46.164 * * [simplify]: Extracting #8: cost 1 inf + 3940 46.165 * * [simplify]: Extracting #9: cost 0 inf + 4398 46.166 * [simplify]: Simplified to (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 46.166 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (* (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)))) (sqrt (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 46.167 * * * * [progress]: [ 146 / 253 ] simplifiying candidate # 46.167 * [simplify]: Simplifying (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 46.167 * * [simplify]: iters left: 6 (13 enodes) 46.174 * * [simplify]: iters left: 5 (45 enodes) 46.188 * * [simplify]: iters left: 4 (53 enodes) 46.205 * * [simplify]: iters left: 3 (55 enodes) 46.220 * * [simplify]: Extracting #0: cost 1 inf + 0 46.220 * * [simplify]: Extracting #1: cost 4 inf + 0 46.220 * * [simplify]: Extracting #2: cost 8 inf + 0 46.221 * * [simplify]: Extracting #3: cost 14 inf + 0 46.221 * * [simplify]: Extracting #4: cost 20 inf + 1 46.221 * * [simplify]: Extracting #5: cost 22 inf + 3 46.221 * * [simplify]: Extracting #6: cost 17 inf + 493 46.222 * * [simplify]: Extracting #7: cost 8 inf + 1814 46.223 * * [simplify]: Extracting #8: cost 1 inf + 3740 46.224 * * [simplify]: Extracting #9: cost 0 inf + 4158 46.226 * [simplify]: Simplified to (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 46.226 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 46.227 * [simplify]: Simplifying (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 46.227 * * [simplify]: iters left: 6 (13 enodes) 46.231 * * [simplify]: iters left: 5 (45 enodes) 46.238 * * [simplify]: iters left: 4 (53 enodes) 46.246 * * [simplify]: iters left: 3 (55 enodes) 46.254 * * [simplify]: Extracting #0: cost 1 inf + 0 46.254 * * [simplify]: Extracting #1: cost 4 inf + 0 46.254 * * [simplify]: Extracting #2: cost 8 inf + 0 46.254 * * [simplify]: Extracting #3: cost 14 inf + 0 46.254 * * [simplify]: Extracting #4: cost 20 inf + 1 46.254 * * [simplify]: Extracting #5: cost 22 inf + 3 46.254 * * [simplify]: Extracting #6: cost 17 inf + 493 46.254 * * [simplify]: Extracting #7: cost 8 inf + 1814 46.255 * * [simplify]: Extracting #8: cost 1 inf + 3740 46.256 * * [simplify]: Extracting #9: cost 0 inf + 4158 46.257 * [simplify]: Simplified to (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 46.257 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 46.258 * * * * [progress]: [ 147 / 253 ] simplifiying candidate # 46.258 * [simplify]: Simplifying (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1)) 46.258 * * [simplify]: iters left: 6 (9 enodes) 46.265 * * [simplify]: iters left: 5 (31 enodes) 46.278 * * [simplify]: iters left: 4 (39 enodes) 46.284 * * [simplify]: iters left: 3 (43 enodes) 46.290 * * [simplify]: Extracting #0: cost 1 inf + 0 46.290 * * [simplify]: Extracting #1: cost 4 inf + 0 46.290 * * [simplify]: Extracting #2: cost 7 inf + 1 46.290 * * [simplify]: Extracting #3: cost 10 inf + 2 46.290 * * [simplify]: Extracting #4: cost 11 inf + 3 46.290 * * [simplify]: Extracting #5: cost 8 inf + 159 46.290 * * [simplify]: Extracting #6: cost 4 inf + 550 46.290 * * [simplify]: Extracting #7: cost 0 inf + 1142 46.291 * [simplify]: Simplified to (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 46.291 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 46.291 * [simplify]: Simplifying (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 46.291 * * [simplify]: iters left: 6 (12 enodes) 46.294 * * [simplify]: iters left: 5 (42 enodes) 46.301 * * [simplify]: iters left: 4 (50 enodes) 46.308 * * [simplify]: iters left: 3 (52 enodes) 46.318 * * [simplify]: Extracting #0: cost 1 inf + 0 46.318 * * [simplify]: Extracting #1: cost 4 inf + 0 46.318 * * [simplify]: Extracting #2: cost 8 inf + 0 46.318 * * [simplify]: Extracting #3: cost 15 inf + 0 46.318 * * [simplify]: Extracting #4: cost 19 inf + 2 46.318 * * [simplify]: Extracting #5: cost 21 inf + 3 46.318 * * [simplify]: Extracting #6: cost 15 inf + 492 46.319 * * [simplify]: Extracting #7: cost 6 inf + 1934 46.319 * * [simplify]: Extracting #8: cost 1 inf + 3104 46.320 * * [simplify]: Extracting #9: cost 0 inf + 3482 46.320 * [simplify]: Simplified to (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 46.320 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 46.321 * * * * [progress]: [ 148 / 253 ] simplifiying candidate # 46.321 * [simplify]: Simplifying (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt 1))) 46.321 * * [simplify]: iters left: 6 (10 enodes) 46.325 * * [simplify]: iters left: 5 (34 enodes) 46.331 * * [simplify]: iters left: 4 (42 enodes) 46.337 * * [simplify]: iters left: 3 (46 enodes) 46.343 * * [simplify]: Extracting #0: cost 1 inf + 0 46.343 * * [simplify]: Extracting #1: cost 4 inf + 0 46.343 * * [simplify]: Extracting #2: cost 7 inf + 1 46.343 * * [simplify]: Extracting #3: cost 10 inf + 2 46.343 * * [simplify]: Extracting #4: cost 11 inf + 3 46.344 * * [simplify]: Extracting #5: cost 9 inf + 61 46.344 * * [simplify]: Extracting #6: cost 3 inf + 688 46.344 * * [simplify]: Extracting #7: cost 0 inf + 1142 46.345 * [simplify]: Simplified to (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 46.345 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 46.346 * [simplify]: Simplifying (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 46.346 * * [simplify]: iters left: 6 (13 enodes) 46.354 * * [simplify]: iters left: 5 (45 enodes) 46.368 * * [simplify]: iters left: 4 (53 enodes) 46.381 * * [simplify]: iters left: 3 (55 enodes) 46.389 * * [simplify]: Extracting #0: cost 1 inf + 0 46.389 * * [simplify]: Extracting #1: cost 4 inf + 0 46.389 * * [simplify]: Extracting #2: cost 8 inf + 0 46.389 * * [simplify]: Extracting #3: cost 15 inf + 0 46.389 * * [simplify]: Extracting #4: cost 19 inf + 2 46.390 * * [simplify]: Extracting #5: cost 21 inf + 3 46.390 * * [simplify]: Extracting #6: cost 13 inf + 809 46.390 * * [simplify]: Extracting #7: cost 1 inf + 3104 46.391 * * [simplify]: Extracting #8: cost 0 inf + 3482 46.391 * [simplify]: Simplified to (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 46.391 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 46.392 * * * * [progress]: [ 149 / 253 ] simplifiying candidate # 46.392 * [simplify]: Simplifying (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt 1))) 46.392 * * [simplify]: iters left: 6 (10 enodes) 46.397 * * [simplify]: iters left: 5 (34 enodes) 46.402 * * [simplify]: iters left: 4 (42 enodes) 46.412 * * [simplify]: iters left: 3 (46 enodes) 46.423 * * [simplify]: Extracting #0: cost 1 inf + 0 46.423 * * [simplify]: Extracting #1: cost 4 inf + 0 46.423 * * [simplify]: Extracting #2: cost 7 inf + 1 46.423 * * [simplify]: Extracting #3: cost 10 inf + 2 46.424 * * [simplify]: Extracting #4: cost 11 inf + 3 46.424 * * [simplify]: Extracting #5: cost 9 inf + 61 46.424 * * [simplify]: Extracting #6: cost 3 inf + 688 46.424 * * [simplify]: Extracting #7: cost 0 inf + 1142 46.425 * [simplify]: Simplified to (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 46.425 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 46.425 * [simplify]: Simplifying (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 46.426 * * [simplify]: iters left: 6 (13 enodes) 46.434 * * [simplify]: iters left: 5 (45 enodes) 46.448 * * [simplify]: iters left: 4 (53 enodes) 46.462 * * [simplify]: iters left: 3 (55 enodes) 46.477 * * [simplify]: Extracting #0: cost 1 inf + 0 46.478 * * [simplify]: Extracting #1: cost 4 inf + 0 46.478 * * [simplify]: Extracting #2: cost 8 inf + 0 46.478 * * [simplify]: Extracting #3: cost 15 inf + 0 46.478 * * [simplify]: Extracting #4: cost 19 inf + 2 46.478 * * [simplify]: Extracting #5: cost 21 inf + 3 46.478 * * [simplify]: Extracting #6: cost 13 inf + 809 46.479 * * [simplify]: Extracting #7: cost 1 inf + 3104 46.480 * * [simplify]: Extracting #8: cost 0 inf + 3482 46.481 * [simplify]: Simplified to (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 46.481 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 46.482 * * * * [progress]: [ 150 / 253 ] simplifiying candidate # 46.482 * [simplify]: Simplifying (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1)) 46.482 * * [simplify]: iters left: 6 (9 enodes) 46.488 * * [simplify]: iters left: 5 (31 enodes) 46.498 * * [simplify]: iters left: 4 (39 enodes) 46.511 * * [simplify]: iters left: 3 (43 enodes) 46.517 * * [simplify]: Extracting #0: cost 1 inf + 0 46.517 * * [simplify]: Extracting #1: cost 4 inf + 0 46.517 * * [simplify]: Extracting #2: cost 7 inf + 1 46.517 * * [simplify]: Extracting #3: cost 10 inf + 2 46.517 * * [simplify]: Extracting #4: cost 11 inf + 3 46.517 * * [simplify]: Extracting #5: cost 8 inf + 159 46.517 * * [simplify]: Extracting #6: cost 4 inf + 550 46.517 * * [simplify]: Extracting #7: cost 0 inf + 1142 46.518 * [simplify]: Simplified to (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 46.518 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 46.518 * [simplify]: Simplifying (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 46.518 * * [simplify]: iters left: 6 (12 enodes) 46.521 * * [simplify]: iters left: 5 (42 enodes) 46.527 * * [simplify]: iters left: 4 (50 enodes) 46.534 * * [simplify]: iters left: 3 (52 enodes) 46.541 * * [simplify]: Extracting #0: cost 1 inf + 0 46.541 * * [simplify]: Extracting #1: cost 4 inf + 0 46.541 * * [simplify]: Extracting #2: cost 8 inf + 0 46.541 * * [simplify]: Extracting #3: cost 15 inf + 0 46.542 * * [simplify]: Extracting #4: cost 19 inf + 2 46.542 * * [simplify]: Extracting #5: cost 21 inf + 3 46.542 * * [simplify]: Extracting #6: cost 15 inf + 492 46.542 * * [simplify]: Extracting #7: cost 6 inf + 1934 46.542 * * [simplify]: Extracting #8: cost 1 inf + 3104 46.543 * * [simplify]: Extracting #9: cost 0 inf + 3482 46.544 * [simplify]: Simplified to (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 46.544 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 46.544 * * * * [progress]: [ 151 / 253 ] simplifiying candidate # 46.544 * [simplify]: Simplifying (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 46.544 * * [simplify]: iters left: 6 (13 enodes) 46.547 * * [simplify]: iters left: 5 (45 enodes) 46.554 * * [simplify]: iters left: 4 (53 enodes) 46.562 * * [simplify]: iters left: 3 (55 enodes) 46.570 * * [simplify]: Extracting #0: cost 1 inf + 0 46.570 * * [simplify]: Extracting #1: cost 4 inf + 0 46.570 * * [simplify]: Extracting #2: cost 8 inf + 0 46.570 * * [simplify]: Extracting #3: cost 14 inf + 0 46.570 * * [simplify]: Extracting #4: cost 20 inf + 1 46.570 * * [simplify]: Extracting #5: cost 22 inf + 3 46.570 * * [simplify]: Extracting #6: cost 17 inf + 493 46.570 * * [simplify]: Extracting #7: cost 8 inf + 1814 46.571 * * [simplify]: Extracting #8: cost 1 inf + 3740 46.571 * * [simplify]: Extracting #9: cost 0 inf + 4158 46.572 * [simplify]: Simplified to (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 46.572 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 46.572 * [simplify]: Simplifying (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 46.572 * * [simplify]: iters left: 6 (13 enodes) 46.576 * * [simplify]: iters left: 5 (45 enodes) 46.582 * * [simplify]: iters left: 4 (53 enodes) 46.594 * * [simplify]: iters left: 3 (55 enodes) 46.609 * * [simplify]: Extracting #0: cost 1 inf + 0 46.609 * * [simplify]: Extracting #1: cost 4 inf + 0 46.609 * * [simplify]: Extracting #2: cost 8 inf + 0 46.609 * * [simplify]: Extracting #3: cost 14 inf + 0 46.610 * * [simplify]: Extracting #4: cost 20 inf + 1 46.610 * * [simplify]: Extracting #5: cost 22 inf + 3 46.610 * * [simplify]: Extracting #6: cost 17 inf + 493 46.611 * * [simplify]: Extracting #7: cost 8 inf + 1814 46.612 * * [simplify]: Extracting #8: cost 1 inf + 3740 46.613 * * [simplify]: Extracting #9: cost 0 inf + 4158 46.614 * [simplify]: Simplified to (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 46.614 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 46.614 * * * * [progress]: [ 152 / 253 ] simplifiying candidate # 46.615 * [simplify]: Simplifying (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 1) 46.615 * * [simplify]: iters left: 6 (8 enodes) 46.617 * * [simplify]: iters left: 5 (26 enodes) 46.621 * * [simplify]: iters left: 4 (34 enodes) 46.626 * * [simplify]: iters left: 3 (36 enodes) 46.631 * * [simplify]: Extracting #0: cost 1 inf + 0 46.631 * * [simplify]: Extracting #1: cost 4 inf + 0 46.631 * * [simplify]: Extracting #2: cost 7 inf + 1 46.631 * * [simplify]: Extracting #3: cost 10 inf + 2 46.631 * * [simplify]: Extracting #4: cost 11 inf + 3 46.631 * * [simplify]: Extracting #5: cost 9 inf + 61 46.632 * * [simplify]: Extracting #6: cost 2 inf + 826 46.632 * * [simplify]: Extracting #7: cost 0 inf + 1142 46.632 * [simplify]: Simplified to (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 46.632 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 46.632 * [simplify]: Simplifying (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 46.632 * * [simplify]: iters left: 6 (12 enodes) 46.635 * * [simplify]: iters left: 5 (42 enodes) 46.642 * * [simplify]: iters left: 4 (50 enodes) 46.650 * * [simplify]: iters left: 3 (52 enodes) 46.664 * * [simplify]: Extracting #0: cost 1 inf + 0 46.664 * * [simplify]: Extracting #1: cost 4 inf + 0 46.664 * * [simplify]: Extracting #2: cost 8 inf + 0 46.664 * * [simplify]: Extracting #3: cost 15 inf + 0 46.664 * * [simplify]: Extracting #4: cost 19 inf + 2 46.664 * * [simplify]: Extracting #5: cost 21 inf + 3 46.664 * * [simplify]: Extracting #6: cost 15 inf + 492 46.664 * * [simplify]: Extracting #7: cost 6 inf + 1934 46.665 * * [simplify]: Extracting #8: cost 1 inf + 3104 46.665 * * [simplify]: Extracting #9: cost 0 inf + 3482 46.666 * [simplify]: Simplified to (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 46.666 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 46.666 * * * * [progress]: [ 153 / 253 ] simplifiying candidate # 46.666 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 46.666 * * [simplify]: iters left: 6 (12 enodes) 46.669 * * [simplify]: iters left: 5 (42 enodes) 46.675 * * [simplify]: iters left: 4 (46 enodes) 46.681 * * [simplify]: Extracting #0: cost 1 inf + 0 46.681 * * [simplify]: Extracting #1: cost 6 inf + 0 46.681 * * [simplify]: Extracting #2: cost 9 inf + 1 46.682 * * [simplify]: Extracting #3: cost 11 inf + 1 46.682 * * [simplify]: Extracting #4: cost 13 inf + 1 46.682 * * [simplify]: Extracting #5: cost 15 inf + 1 46.682 * * [simplify]: Extracting #6: cost 18 inf + 1 46.682 * * [simplify]: Extracting #7: cost 19 inf + 2 46.682 * * [simplify]: Extracting #8: cost 21 inf + 2 46.682 * * [simplify]: Extracting #9: cost 18 inf + 117 46.682 * * [simplify]: Extracting #10: cost 15 inf + 451 46.682 * * [simplify]: Extracting #11: cost 10 inf + 1381 46.683 * * [simplify]: Extracting #12: cost 6 inf + 2573 46.683 * * [simplify]: Extracting #13: cost 3 inf + 3747 46.685 * * [simplify]: Extracting #14: cost 0 inf + 4921 46.686 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 46.686 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 46.686 * [simplify]: Simplifying (/ (- 1/2 (/ 1/2 (hypot 1 x))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 46.686 * * [simplify]: iters left: 6 (12 enodes) 46.689 * * [simplify]: iters left: 5 (45 enodes) 46.697 * * [simplify]: iters left: 4 (61 enodes) 46.715 * * [simplify]: iters left: 3 (72 enodes) 46.727 * * [simplify]: iters left: 2 (76 enodes) 46.736 * * [simplify]: iters left: 1 (78 enodes) 46.746 * * [simplify]: Extracting #0: cost 1 inf + 0 46.746 * * [simplify]: Extracting #1: cost 7 inf + 0 46.746 * * [simplify]: Extracting #2: cost 20 inf + 0 46.747 * * [simplify]: Extracting #3: cost 27 inf + 2 46.747 * * [simplify]: Extracting #4: cost 27 inf + 4 46.747 * * [simplify]: Extracting #5: cost 25 inf + 395 46.747 * * [simplify]: Extracting #6: cost 18 inf + 1578 46.749 * * [simplify]: Extracting #7: cost 4 inf + 6152 46.751 * * [simplify]: Extracting #8: cost 0 inf + 7744 46.754 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (cbrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 46.754 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (cbrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))))) 46.754 * * * * [progress]: [ 154 / 253 ] simplifiying candidate # 46.755 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 46.755 * * [simplify]: iters left: 6 (12 enodes) 46.761 * * [simplify]: iters left: 5 (41 enodes) 46.773 * * [simplify]: iters left: 4 (43 enodes) 46.785 * * [simplify]: Extracting #0: cost 1 inf + 0 46.785 * * [simplify]: Extracting #1: cost 4 inf + 0 46.785 * * [simplify]: Extracting #2: cost 6 inf + 1 46.785 * * [simplify]: Extracting #3: cost 9 inf + 1 46.785 * * [simplify]: Extracting #4: cost 11 inf + 1 46.785 * * [simplify]: Extracting #5: cost 13 inf + 1 46.785 * * [simplify]: Extracting #6: cost 16 inf + 1 46.786 * * [simplify]: Extracting #7: cost 17 inf + 2 46.786 * * [simplify]: Extracting #8: cost 19 inf + 2 46.786 * * [simplify]: Extracting #9: cost 17 inf + 60 46.786 * * [simplify]: Extracting #10: cost 13 inf + 451 46.786 * * [simplify]: Extracting #11: cost 9 inf + 1163 46.787 * * [simplify]: Extracting #12: cost 2 inf + 3369 46.788 * * [simplify]: Extracting #13: cost 0 inf + 4085 46.790 * [simplify]: Simplified to (/ 1 (fabs (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 46.790 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (fabs (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 46.790 * [simplify]: Simplifying (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 46.791 * * [simplify]: iters left: 6 (12 enodes) 46.797 * * [simplify]: iters left: 5 (45 enodes) 46.814 * * [simplify]: iters left: 4 (61 enodes) 46.832 * * [simplify]: iters left: 3 (72 enodes) 46.852 * * [simplify]: iters left: 2 (76 enodes) 46.873 * * [simplify]: iters left: 1 (78 enodes) 46.894 * * [simplify]: Extracting #0: cost 1 inf + 0 46.894 * * [simplify]: Extracting #1: cost 7 inf + 0 46.894 * * [simplify]: Extracting #2: cost 20 inf + 0 46.894 * * [simplify]: Extracting #3: cost 27 inf + 2 46.894 * * [simplify]: Extracting #4: cost 27 inf + 4 46.895 * * [simplify]: Extracting #5: cost 25 inf + 395 46.895 * * [simplify]: Extracting #6: cost 18 inf + 1618 46.897 * * [simplify]: Extracting #7: cost 4 inf + 6232 46.899 * * [simplify]: Extracting #8: cost 0 inf + 7824 46.902 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 46.902 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (* (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))) (sqrt (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))))) 46.902 * * * * [progress]: [ 155 / 253 ] simplifiying candidate # 46.903 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 46.903 * * [simplify]: iters left: 6 (11 enodes) 46.909 * * [simplify]: iters left: 5 (37 enodes) 46.920 * * [simplify]: iters left: 4 (39 enodes) 46.931 * * [simplify]: Extracting #0: cost 1 inf + 0 46.931 * * [simplify]: Extracting #1: cost 4 inf + 0 46.931 * * [simplify]: Extracting #2: cost 5 inf + 1 46.931 * * [simplify]: Extracting #3: cost 7 inf + 1 46.931 * * [simplify]: Extracting #4: cost 9 inf + 1 46.931 * * [simplify]: Extracting #5: cost 11 inf + 1 46.931 * * [simplify]: Extracting #6: cost 14 inf + 1 46.931 * * [simplify]: Extracting #7: cost 15 inf + 2 46.931 * * [simplify]: Extracting #8: cost 17 inf + 2 46.931 * * [simplify]: Extracting #9: cost 15 inf + 60 46.931 * * [simplify]: Extracting #10: cost 12 inf + 353 46.932 * * [simplify]: Extracting #11: cost 7 inf + 1163 46.932 * * [simplify]: Extracting #12: cost 3 inf + 2195 46.933 * * [simplify]: Extracting #13: cost 0 inf + 3169 46.934 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 46.934 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 46.935 * [simplify]: Simplifying (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 46.935 * * [simplify]: iters left: 6 (12 enodes) 46.938 * * [simplify]: iters left: 5 (45 enodes) 46.948 * * [simplify]: iters left: 4 (61 enodes) 46.958 * * [simplify]: iters left: 3 (72 enodes) 46.968 * * [simplify]: iters left: 2 (76 enodes) 46.978 * * [simplify]: iters left: 1 (78 enodes) 46.989 * * [simplify]: Extracting #0: cost 1 inf + 0 46.989 * * [simplify]: Extracting #1: cost 7 inf + 0 46.989 * * [simplify]: Extracting #2: cost 20 inf + 0 46.989 * * [simplify]: Extracting #3: cost 27 inf + 2 46.990 * * [simplify]: Extracting #4: cost 27 inf + 4 46.990 * * [simplify]: Extracting #5: cost 25 inf + 395 46.990 * * [simplify]: Extracting #6: cost 18 inf + 1578 46.992 * * [simplify]: Extracting #7: cost 4 inf + 5752 46.994 * * [simplify]: Extracting #8: cost 0 inf + 7184 46.996 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 46.996 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))))) 46.996 * * * * [progress]: [ 156 / 253 ] simplifiying candidate # 46.996 * [simplify]: Simplifying (/ 1 (sqrt 1)) 46.997 * * [simplify]: iters left: 3 (3 enodes) 47.000 * * [simplify]: iters left: 2 (11 enodes) 47.001 * * [simplify]: iters left: 1 (13 enodes) 47.003 * * [simplify]: Extracting #0: cost 1 inf + 0 47.003 * * [simplify]: Extracting #1: cost 0 inf + 1 47.003 * [simplify]: Simplified to 1 47.003 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 47.003 * [simplify]: Simplifying (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 47.003 * * [simplify]: iters left: 6 (11 enodes) 47.006 * * [simplify]: iters left: 5 (42 enodes) 47.013 * * [simplify]: iters left: 4 (58 enodes) 47.021 * * [simplify]: iters left: 3 (69 enodes) 47.035 * * [simplify]: iters left: 2 (73 enodes) 47.055 * * [simplify]: iters left: 1 (75 enodes) 47.075 * * [simplify]: Extracting #0: cost 1 inf + 0 47.075 * * [simplify]: Extracting #1: cost 7 inf + 0 47.075 * * [simplify]: Extracting #2: cost 20 inf + 0 47.075 * * [simplify]: Extracting #3: cost 27 inf + 2 47.075 * * [simplify]: Extracting #4: cost 27 inf + 4 47.075 * * [simplify]: Extracting #5: cost 22 inf + 550 47.076 * * [simplify]: Extracting #6: cost 12 inf + 2410 47.076 * * [simplify]: Extracting #7: cost 2 inf + 5471 47.078 * * [simplify]: Extracting #8: cost 0 inf + 6108 47.079 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 47.079 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 47.079 * * * * [progress]: [ 157 / 253 ] simplifiying candidate # 47.079 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 1))) 47.079 * * [simplify]: iters left: 4 (4 enodes) 47.081 * * [simplify]: iters left: 3 (14 enodes) 47.083 * * [simplify]: iters left: 2 (16 enodes) 47.085 * * [simplify]: Extracting #0: cost 1 inf + 0 47.085 * * [simplify]: Extracting #1: cost 0 inf + 1 47.085 * [simplify]: Simplified to 1 47.085 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 47.085 * [simplify]: Simplifying (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 47.085 * * [simplify]: iters left: 6 (12 enodes) 47.089 * * [simplify]: iters left: 5 (45 enodes) 47.095 * * [simplify]: iters left: 4 (61 enodes) 47.104 * * [simplify]: iters left: 3 (72 enodes) 47.124 * * [simplify]: iters left: 2 (76 enodes) 47.144 * * [simplify]: iters left: 1 (78 enodes) 47.165 * * [simplify]: Extracting #0: cost 1 inf + 0 47.165 * * [simplify]: Extracting #1: cost 7 inf + 0 47.165 * * [simplify]: Extracting #2: cost 20 inf + 0 47.165 * * [simplify]: Extracting #3: cost 27 inf + 2 47.165 * * [simplify]: Extracting #4: cost 27 inf + 4 47.165 * * [simplify]: Extracting #5: cost 24 inf + 395 47.165 * * [simplify]: Extracting #6: cost 17 inf + 1320 47.166 * * [simplify]: Extracting #7: cost 4 inf + 4836 47.167 * * [simplify]: Extracting #8: cost 0 inf + 6108 47.168 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 47.168 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 47.168 * * * * [progress]: [ 158 / 253 ] simplifiying candidate # 47.169 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 1))) 47.169 * * [simplify]: iters left: 4 (4 enodes) 47.171 * * [simplify]: iters left: 3 (14 enodes) 47.172 * * [simplify]: iters left: 2 (16 enodes) 47.174 * * [simplify]: Extracting #0: cost 1 inf + 0 47.174 * * [simplify]: Extracting #1: cost 0 inf + 1 47.174 * [simplify]: Simplified to 1 47.174 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 47.175 * [simplify]: Simplifying (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 47.175 * * [simplify]: iters left: 6 (12 enodes) 47.179 * * [simplify]: iters left: 5 (45 enodes) 47.187 * * [simplify]: iters left: 4 (61 enodes) 47.204 * * [simplify]: iters left: 3 (72 enodes) 47.213 * * [simplify]: iters left: 2 (76 enodes) 47.223 * * [simplify]: iters left: 1 (78 enodes) 47.234 * * [simplify]: Extracting #0: cost 1 inf + 0 47.234 * * [simplify]: Extracting #1: cost 7 inf + 0 47.234 * * [simplify]: Extracting #2: cost 20 inf + 0 47.234 * * [simplify]: Extracting #3: cost 27 inf + 2 47.234 * * [simplify]: Extracting #4: cost 27 inf + 4 47.234 * * [simplify]: Extracting #5: cost 24 inf + 395 47.235 * * [simplify]: Extracting #6: cost 17 inf + 1320 47.236 * * [simplify]: Extracting #7: cost 4 inf + 4836 47.238 * * [simplify]: Extracting #8: cost 0 inf + 6108 47.241 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 47.241 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 47.241 * * * * [progress]: [ 159 / 253 ] simplifiying candidate # 47.241 * [simplify]: Simplifying (/ 1 (sqrt 1)) 47.241 * * [simplify]: iters left: 3 (3 enodes) 47.247 * * [simplify]: iters left: 2 (11 enodes) 47.249 * * [simplify]: iters left: 1 (13 enodes) 47.252 * * [simplify]: Extracting #0: cost 1 inf + 0 47.253 * * [simplify]: Extracting #1: cost 0 inf + 1 47.253 * [simplify]: Simplified to 1 47.253 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 47.253 * [simplify]: Simplifying (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 47.253 * * [simplify]: iters left: 6 (11 enodes) 47.261 * * [simplify]: iters left: 5 (42 enodes) 47.274 * * [simplify]: iters left: 4 (58 enodes) 47.283 * * [simplify]: iters left: 3 (69 enodes) 47.293 * * [simplify]: iters left: 2 (73 enodes) 47.303 * * [simplify]: iters left: 1 (75 enodes) 47.320 * * [simplify]: Extracting #0: cost 1 inf + 0 47.320 * * [simplify]: Extracting #1: cost 7 inf + 0 47.321 * * [simplify]: Extracting #2: cost 20 inf + 0 47.321 * * [simplify]: Extracting #3: cost 27 inf + 2 47.321 * * [simplify]: Extracting #4: cost 27 inf + 4 47.321 * * [simplify]: Extracting #5: cost 22 inf + 550 47.321 * * [simplify]: Extracting #6: cost 12 inf + 2410 47.322 * * [simplify]: Extracting #7: cost 2 inf + 5471 47.323 * * [simplify]: Extracting #8: cost 0 inf + 6108 47.324 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 47.324 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 47.324 * * * * [progress]: [ 160 / 253 ] simplifiying candidate # 47.325 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 47.325 * * [simplify]: iters left: 6 (11 enodes) 47.327 * * [simplify]: iters left: 5 (37 enodes) 47.333 * * [simplify]: iters left: 4 (39 enodes) 47.338 * * [simplify]: Extracting #0: cost 1 inf + 0 47.338 * * [simplify]: Extracting #1: cost 4 inf + 0 47.338 * * [simplify]: Extracting #2: cost 5 inf + 1 47.339 * * [simplify]: Extracting #3: cost 7 inf + 1 47.339 * * [simplify]: Extracting #4: cost 9 inf + 1 47.339 * * [simplify]: Extracting #5: cost 11 inf + 1 47.339 * * [simplify]: Extracting #6: cost 14 inf + 1 47.339 * * [simplify]: Extracting #7: cost 15 inf + 2 47.339 * * [simplify]: Extracting #8: cost 17 inf + 2 47.339 * * [simplify]: Extracting #9: cost 15 inf + 60 47.339 * * [simplify]: Extracting #10: cost 12 inf + 353 47.339 * * [simplify]: Extracting #11: cost 7 inf + 1163 47.339 * * [simplify]: Extracting #12: cost 3 inf + 2195 47.340 * * [simplify]: Extracting #13: cost 0 inf + 3169 47.340 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 47.340 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 47.341 * [simplify]: Simplifying (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 47.341 * * [simplify]: iters left: 6 (12 enodes) 47.344 * * [simplify]: iters left: 5 (45 enodes) 47.351 * * [simplify]: iters left: 4 (61 enodes) 47.367 * * [simplify]: iters left: 3 (72 enodes) 47.377 * * [simplify]: iters left: 2 (76 enodes) 47.387 * * [simplify]: iters left: 1 (78 enodes) 47.402 * * [simplify]: Extracting #0: cost 1 inf + 0 47.402 * * [simplify]: Extracting #1: cost 7 inf + 0 47.402 * * [simplify]: Extracting #2: cost 20 inf + 0 47.402 * * [simplify]: Extracting #3: cost 27 inf + 2 47.402 * * [simplify]: Extracting #4: cost 27 inf + 4 47.403 * * [simplify]: Extracting #5: cost 25 inf + 395 47.403 * * [simplify]: Extracting #6: cost 18 inf + 1578 47.405 * * [simplify]: Extracting #7: cost 4 inf + 5752 47.407 * * [simplify]: Extracting #8: cost 0 inf + 7184 47.410 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 47.410 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))))) 47.411 * * * * [progress]: [ 161 / 253 ] simplifiying candidate # 47.411 * [simplify]: Simplifying (/ 1 1) 47.411 * * [simplify]: iters left: 2 (2 enodes) 47.413 * * [simplify]: iters left: 1 (6 enodes) 47.415 * * [simplify]: Extracting #0: cost 1 inf + 0 47.415 * * [simplify]: Extracting #1: cost 0 inf + 1 47.415 * [simplify]: Simplified to 1 47.415 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 47.416 * [simplify]: Simplifying (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 47.416 * * [simplify]: iters left: 6 (11 enodes) 47.421 * * [simplify]: iters left: 5 (42 enodes) 47.435 * * [simplify]: iters left: 4 (58 enodes) 47.452 * * [simplify]: iters left: 3 (69 enodes) 47.471 * * [simplify]: iters left: 2 (73 enodes) 47.492 * * [simplify]: iters left: 1 (75 enodes) 47.502 * * [simplify]: Extracting #0: cost 1 inf + 0 47.502 * * [simplify]: Extracting #1: cost 7 inf + 0 47.502 * * [simplify]: Extracting #2: cost 20 inf + 0 47.502 * * [simplify]: Extracting #3: cost 27 inf + 2 47.502 * * [simplify]: Extracting #4: cost 27 inf + 4 47.503 * * [simplify]: Extracting #5: cost 22 inf + 550 47.503 * * [simplify]: Extracting #6: cost 12 inf + 2410 47.504 * * [simplify]: Extracting #7: cost 2 inf + 5471 47.505 * * [simplify]: Extracting #8: cost 0 inf + 6108 47.506 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 47.506 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 47.507 * * * * [progress]: [ 162 / 253 ] simplifiying candidate # 47.507 * [simplify]: Simplifying (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 47.507 * * [simplify]: iters left: 6 (15 enodes) 47.511 * * [simplify]: iters left: 5 (52 enodes) 47.519 * * [simplify]: iters left: 4 (56 enodes) 47.535 * * [simplify]: Extracting #0: cost 1 inf + 0 47.535 * * [simplify]: Extracting #1: cost 6 inf + 0 47.535 * * [simplify]: Extracting #2: cost 13 inf + 0 47.535 * * [simplify]: Extracting #3: cost 19 inf + 0 47.535 * * [simplify]: Extracting #4: cost 23 inf + 1 47.535 * * [simplify]: Extracting #5: cost 25 inf + 43 47.535 * * [simplify]: Extracting #6: cost 21 inf + 297 47.536 * * [simplify]: Extracting #7: cost 13 inf + 1561 47.537 * * [simplify]: Extracting #8: cost 5 inf + 3745 47.538 * * [simplify]: Extracting #9: cost 0 inf + 6195 47.540 * [simplify]: Simplified to (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (* (cbrt (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) 47.540 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (* (cbrt (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 47.541 * [simplify]: Simplifying (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 47.541 * * [simplify]: iters left: 6 (14 enodes) 47.548 * * [simplify]: iters left: 5 (51 enodes) 47.564 * * [simplify]: iters left: 4 (62 enodes) 47.582 * * [simplify]: iters left: 3 (66 enodes) 47.598 * * [simplify]: Extracting #0: cost 1 inf + 0 47.598 * * [simplify]: Extracting #1: cost 7 inf + 0 47.598 * * [simplify]: Extracting #2: cost 16 inf + 0 47.598 * * [simplify]: Extracting #3: cost 23 inf + 0 47.598 * * [simplify]: Extracting #4: cost 27 inf + 1 47.598 * * [simplify]: Extracting #5: cost 29 inf + 43 47.599 * * [simplify]: Extracting #6: cost 26 inf + 240 47.599 * * [simplify]: Extracting #7: cost 18 inf + 1423 47.599 * * [simplify]: Extracting #8: cost 7 inf + 4301 47.600 * * [simplify]: Extracting #9: cost 1 inf + 6889 47.603 * * [simplify]: Extracting #10: cost 0 inf + 7307 47.604 * [simplify]: Simplified to (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 47.604 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))))) 47.604 * * * * [progress]: [ 163 / 253 ] simplifiying candidate # 47.605 * [simplify]: Simplifying (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 47.605 * * [simplify]: iters left: 6 (15 enodes) 47.609 * * [simplify]: iters left: 5 (51 enodes) 47.617 * * [simplify]: iters left: 4 (53 enodes) 47.625 * * [simplify]: Extracting #0: cost 1 inf + 0 47.625 * * [simplify]: Extracting #1: cost 4 inf + 0 47.625 * * [simplify]: Extracting #2: cost 10 inf + 0 47.625 * * [simplify]: Extracting #3: cost 17 inf + 0 47.625 * * [simplify]: Extracting #4: cost 21 inf + 1 47.625 * * [simplify]: Extracting #5: cost 23 inf + 43 47.625 * * [simplify]: Extracting #6: cost 19 inf + 297 47.626 * * [simplify]: Extracting #7: cost 11 inf + 1561 47.626 * * [simplify]: Extracting #8: cost 3 inf + 3785 47.627 * * [simplify]: Extracting #9: cost 0 inf + 5119 47.628 * [simplify]: Simplified to (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (fabs (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 47.628 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (fabs (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 47.629 * [simplify]: Simplifying (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 47.629 * * [simplify]: iters left: 6 (14 enodes) 47.636 * * [simplify]: iters left: 5 (51 enodes) 47.651 * * [simplify]: iters left: 4 (62 enodes) 47.668 * * [simplify]: iters left: 3 (66 enodes) 47.681 * * [simplify]: Extracting #0: cost 1 inf + 0 47.681 * * [simplify]: Extracting #1: cost 7 inf + 0 47.681 * * [simplify]: Extracting #2: cost 16 inf + 0 47.681 * * [simplify]: Extracting #3: cost 23 inf + 0 47.681 * * [simplify]: Extracting #4: cost 27 inf + 1 47.682 * * [simplify]: Extracting #5: cost 29 inf + 43 47.682 * * [simplify]: Extracting #6: cost 26 inf + 240 47.682 * * [simplify]: Extracting #7: cost 18 inf + 1423 47.682 * * [simplify]: Extracting #8: cost 7 inf + 4381 47.684 * * [simplify]: Extracting #9: cost 1 inf + 6969 47.685 * * [simplify]: Extracting #10: cost 0 inf + 7387 47.686 * [simplify]: Simplified to (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 47.686 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (* (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)))) (sqrt (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))))) 47.686 * * * * [progress]: [ 164 / 253 ] simplifiying candidate # 47.686 * [simplify]: Simplifying (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 47.686 * * [simplify]: iters left: 6 (14 enodes) 47.690 * * [simplify]: iters left: 5 (47 enodes) 47.697 * * [simplify]: iters left: 4 (49 enodes) 47.703 * * [simplify]: Extracting #0: cost 1 inf + 0 47.704 * * [simplify]: Extracting #1: cost 4 inf + 0 47.704 * * [simplify]: Extracting #2: cost 9 inf + 0 47.704 * * [simplify]: Extracting #3: cost 15 inf + 0 47.704 * * [simplify]: Extracting #4: cost 19 inf + 1 47.704 * * [simplify]: Extracting #5: cost 20 inf + 84 47.705 * * [simplify]: Extracting #6: cost 17 inf + 338 47.705 * * [simplify]: Extracting #7: cost 10 inf + 1423 47.706 * * [simplify]: Extracting #8: cost 2 inf + 3447 47.707 * * [simplify]: Extracting #9: cost 0 inf + 4203 47.708 * [simplify]: Simplified to (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 47.708 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 47.708 * [simplify]: Simplifying (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 47.708 * * [simplify]: iters left: 6 (14 enodes) 47.716 * * [simplify]: iters left: 5 (51 enodes) 47.732 * * [simplify]: iters left: 4 (62 enodes) 47.750 * * [simplify]: iters left: 3 (66 enodes) 47.768 * * [simplify]: Extracting #0: cost 1 inf + 0 47.768 * * [simplify]: Extracting #1: cost 7 inf + 0 47.768 * * [simplify]: Extracting #2: cost 16 inf + 0 47.768 * * [simplify]: Extracting #3: cost 23 inf + 0 47.769 * * [simplify]: Extracting #4: cost 27 inf + 1 47.769 * * [simplify]: Extracting #5: cost 29 inf + 43 47.769 * * [simplify]: Extracting #6: cost 26 inf + 240 47.769 * * [simplify]: Extracting #7: cost 18 inf + 1423 47.771 * * [simplify]: Extracting #8: cost 7 inf + 4181 47.773 * * [simplify]: Extracting #9: cost 1 inf + 6529 47.775 * * [simplify]: Extracting #10: cost 0 inf + 6907 47.777 * [simplify]: Simplified to (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 47.777 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))))) 47.777 * * * * [progress]: [ 165 / 253 ] simplifiying candidate # 47.778 * [simplify]: Simplifying (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) 47.778 * * [simplify]: iters left: 6 (10 enodes) 47.783 * * [simplify]: iters left: 5 (33 enodes) 47.793 * * [simplify]: iters left: 4 (35 enodes) 47.803 * * [simplify]: iters left: 3 (37 enodes) 47.810 * * [simplify]: Extracting #0: cost 1 inf + 0 47.810 * * [simplify]: Extracting #1: cost 5 inf + 0 47.810 * * [simplify]: Extracting #2: cost 8 inf + 1 47.810 * * [simplify]: Extracting #3: cost 9 inf + 2 47.810 * * [simplify]: Extracting #4: cost 9 inf + 84 47.811 * * [simplify]: Extracting #5: cost 8 inf + 85 47.811 * * [simplify]: Extracting #6: cost 5 inf + 297 47.811 * * [simplify]: Extracting #7: cost 0 inf + 1107 47.811 * [simplify]: Simplified to (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) 47.811 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 47.811 * [simplify]: Simplifying (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 47.811 * * [simplify]: iters left: 6 (13 enodes) 47.815 * * [simplify]: iters left: 5 (48 enodes) 47.822 * * [simplify]: iters left: 4 (59 enodes) 47.830 * * [simplify]: iters left: 3 (63 enodes) 47.840 * * [simplify]: Extracting #0: cost 1 inf + 0 47.840 * * [simplify]: Extracting #1: cost 7 inf + 0 47.840 * * [simplify]: Extracting #2: cost 16 inf + 0 47.841 * * [simplify]: Extracting #3: cost 24 inf + 0 47.841 * * [simplify]: Extracting #4: cost 24 inf + 84 47.841 * * [simplify]: Extracting #5: cost 27 inf + 84 47.841 * * [simplify]: Extracting #6: cost 24 inf + 240 47.841 * * [simplify]: Extracting #7: cost 14 inf + 1779 47.842 * * [simplify]: Extracting #8: cost 4 inf + 4479 47.843 * * [simplify]: Extracting #9: cost 0 inf + 5991 47.844 * [simplify]: Simplified to (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 47.844 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))))) 47.844 * * * * [progress]: [ 166 / 253 ] simplifiying candidate # 47.844 * [simplify]: Simplifying (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (sqrt 1))) 47.844 * * [simplify]: iters left: 6 (11 enodes) 47.848 * * [simplify]: iters left: 5 (36 enodes) 47.853 * * [simplify]: iters left: 4 (38 enodes) 47.858 * * [simplify]: iters left: 3 (40 enodes) 47.863 * * [simplify]: Extracting #0: cost 1 inf + 0 47.863 * * [simplify]: Extracting #1: cost 5 inf + 0 47.863 * * [simplify]: Extracting #2: cost 8 inf + 1 47.863 * * [simplify]: Extracting #3: cost 9 inf + 2 47.864 * * [simplify]: Extracting #4: cost 9 inf + 84 47.864 * * [simplify]: Extracting #5: cost 8 inf + 85 47.864 * * [simplify]: Extracting #6: cost 6 inf + 240 47.864 * * [simplify]: Extracting #7: cost 0 inf + 1107 47.865 * [simplify]: Simplified to (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) 47.865 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 47.865 * [simplify]: Simplifying (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 47.865 * * [simplify]: iters left: 6 (14 enodes) 47.873 * * [simplify]: iters left: 5 (51 enodes) 47.888 * * [simplify]: iters left: 4 (62 enodes) 47.905 * * [simplify]: iters left: 3 (66 enodes) 47.923 * * [simplify]: Extracting #0: cost 1 inf + 0 47.923 * * [simplify]: Extracting #1: cost 7 inf + 0 47.924 * * [simplify]: Extracting #2: cost 16 inf + 0 47.924 * * [simplify]: Extracting #3: cost 24 inf + 0 47.924 * * [simplify]: Extracting #4: cost 25 inf + 43 47.924 * * [simplify]: Extracting #5: cost 27 inf + 84 47.924 * * [simplify]: Extracting #6: cost 23 inf + 378 47.925 * * [simplify]: Extracting #7: cost 9 inf + 3189 47.927 * * [simplify]: Extracting #8: cost 1 inf + 5653 47.929 * * [simplify]: Extracting #9: cost 0 inf + 5991 47.931 * [simplify]: Simplified to (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 47.931 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))))) 47.931 * * * * [progress]: [ 167 / 253 ] simplifiying candidate # 47.932 * [simplify]: Simplifying (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (sqrt 1))) 47.932 * * [simplify]: iters left: 6 (11 enodes) 47.939 * * [simplify]: iters left: 5 (36 enodes) 47.949 * * [simplify]: iters left: 4 (38 enodes) 47.962 * * [simplify]: iters left: 3 (40 enodes) 47.972 * * [simplify]: Extracting #0: cost 1 inf + 0 47.972 * * [simplify]: Extracting #1: cost 5 inf + 0 47.972 * * [simplify]: Extracting #2: cost 8 inf + 1 47.972 * * [simplify]: Extracting #3: cost 9 inf + 2 47.973 * * [simplify]: Extracting #4: cost 9 inf + 84 47.973 * * [simplify]: Extracting #5: cost 8 inf + 85 47.973 * * [simplify]: Extracting #6: cost 6 inf + 240 47.973 * * [simplify]: Extracting #7: cost 0 inf + 1107 47.974 * [simplify]: Simplified to (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) 47.974 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 47.974 * [simplify]: Simplifying (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 47.974 * * [simplify]: iters left: 6 (14 enodes) 47.982 * * [simplify]: iters left: 5 (51 enodes) 47.998 * * [simplify]: iters left: 4 (62 enodes) 48.016 * * [simplify]: iters left: 3 (66 enodes) 48.035 * * [simplify]: Extracting #0: cost 1 inf + 0 48.035 * * [simplify]: Extracting #1: cost 7 inf + 0 48.035 * * [simplify]: Extracting #2: cost 16 inf + 0 48.035 * * [simplify]: Extracting #3: cost 24 inf + 0 48.035 * * [simplify]: Extracting #4: cost 25 inf + 43 48.036 * * [simplify]: Extracting #5: cost 27 inf + 84 48.036 * * [simplify]: Extracting #6: cost 23 inf + 378 48.037 * * [simplify]: Extracting #7: cost 9 inf + 3189 48.039 * * [simplify]: Extracting #8: cost 1 inf + 5653 48.041 * * [simplify]: Extracting #9: cost 0 inf + 5991 48.043 * [simplify]: Simplified to (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 48.043 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))))) 48.043 * * * * [progress]: [ 168 / 253 ] simplifiying candidate # 48.043 * [simplify]: Simplifying (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) 48.043 * * [simplify]: iters left: 6 (10 enodes) 48.049 * * [simplify]: iters left: 5 (33 enodes) 48.060 * * [simplify]: iters left: 4 (35 enodes) 48.069 * * [simplify]: iters left: 3 (37 enodes) 48.079 * * [simplify]: Extracting #0: cost 1 inf + 0 48.079 * * [simplify]: Extracting #1: cost 5 inf + 0 48.079 * * [simplify]: Extracting #2: cost 8 inf + 1 48.079 * * [simplify]: Extracting #3: cost 9 inf + 2 48.079 * * [simplify]: Extracting #4: cost 9 inf + 84 48.079 * * [simplify]: Extracting #5: cost 8 inf + 85 48.080 * * [simplify]: Extracting #6: cost 5 inf + 297 48.080 * * [simplify]: Extracting #7: cost 0 inf + 1107 48.080 * [simplify]: Simplified to (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) 48.080 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 48.081 * [simplify]: Simplifying (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 48.081 * * [simplify]: iters left: 6 (13 enodes) 48.088 * * [simplify]: iters left: 5 (48 enodes) 48.103 * * [simplify]: iters left: 4 (59 enodes) 48.122 * * [simplify]: iters left: 3 (63 enodes) 48.131 * * [simplify]: Extracting #0: cost 1 inf + 0 48.131 * * [simplify]: Extracting #1: cost 7 inf + 0 48.131 * * [simplify]: Extracting #2: cost 16 inf + 0 48.131 * * [simplify]: Extracting #3: cost 24 inf + 0 48.131 * * [simplify]: Extracting #4: cost 24 inf + 84 48.131 * * [simplify]: Extracting #5: cost 27 inf + 84 48.132 * * [simplify]: Extracting #6: cost 24 inf + 240 48.132 * * [simplify]: Extracting #7: cost 14 inf + 1779 48.132 * * [simplify]: Extracting #8: cost 4 inf + 4479 48.133 * * [simplify]: Extracting #9: cost 0 inf + 5991 48.135 * [simplify]: Simplified to (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 48.135 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))))) 48.135 * * * * [progress]: [ 169 / 253 ] simplifiying candidate # 48.135 * [simplify]: Simplifying (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 48.135 * * [simplify]: iters left: 6 (14 enodes) 48.139 * * [simplify]: iters left: 5 (47 enodes) 48.146 * * [simplify]: iters left: 4 (49 enodes) 48.152 * * [simplify]: Extracting #0: cost 1 inf + 0 48.153 * * [simplify]: Extracting #1: cost 4 inf + 0 48.153 * * [simplify]: Extracting #2: cost 9 inf + 0 48.153 * * [simplify]: Extracting #3: cost 15 inf + 0 48.153 * * [simplify]: Extracting #4: cost 19 inf + 1 48.153 * * [simplify]: Extracting #5: cost 20 inf + 84 48.153 * * [simplify]: Extracting #6: cost 17 inf + 338 48.153 * * [simplify]: Extracting #7: cost 10 inf + 1423 48.154 * * [simplify]: Extracting #8: cost 2 inf + 3447 48.154 * * [simplify]: Extracting #9: cost 0 inf + 4203 48.155 * [simplify]: Simplified to (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 48.155 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 48.155 * [simplify]: Simplifying (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 48.156 * * [simplify]: iters left: 6 (14 enodes) 48.162 * * [simplify]: iters left: 5 (51 enodes) 48.178 * * [simplify]: iters left: 4 (62 enodes) 48.192 * * [simplify]: iters left: 3 (66 enodes) 48.201 * * [simplify]: Extracting #0: cost 1 inf + 0 48.201 * * [simplify]: Extracting #1: cost 7 inf + 0 48.201 * * [simplify]: Extracting #2: cost 16 inf + 0 48.201 * * [simplify]: Extracting #3: cost 23 inf + 0 48.201 * * [simplify]: Extracting #4: cost 27 inf + 1 48.201 * * [simplify]: Extracting #5: cost 29 inf + 43 48.201 * * [simplify]: Extracting #6: cost 26 inf + 240 48.201 * * [simplify]: Extracting #7: cost 18 inf + 1423 48.202 * * [simplify]: Extracting #8: cost 7 inf + 4181 48.203 * * [simplify]: Extracting #9: cost 1 inf + 6529 48.204 * * [simplify]: Extracting #10: cost 0 inf + 6907 48.205 * [simplify]: Simplified to (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 48.205 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))))) 48.205 * * * * [progress]: [ 170 / 253 ] simplifiying candidate # 48.206 * [simplify]: Simplifying (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) 1) 48.206 * * [simplify]: iters left: 6 (9 enodes) 48.208 * * [simplify]: iters left: 5 (28 enodes) 48.214 * * [simplify]: iters left: 4 (30 enodes) 48.218 * * [simplify]: Extracting #0: cost 1 inf + 0 48.218 * * [simplify]: Extracting #1: cost 5 inf + 0 48.218 * * [simplify]: Extracting #2: cost 8 inf + 1 48.219 * * [simplify]: Extracting #3: cost 9 inf + 2 48.219 * * [simplify]: Extracting #4: cost 9 inf + 84 48.219 * * [simplify]: Extracting #5: cost 8 inf + 85 48.219 * * [simplify]: Extracting #6: cost 6 inf + 240 48.219 * * [simplify]: Extracting #7: cost 2 inf + 751 48.219 * * [simplify]: Extracting #8: cost 0 inf + 1107 48.219 * [simplify]: Simplified to (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) 48.219 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 48.220 * [simplify]: Simplifying (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 48.220 * * [simplify]: iters left: 6 (13 enodes) 48.223 * * [simplify]: iters left: 5 (48 enodes) 48.237 * * [simplify]: iters left: 4 (59 enodes) 48.253 * * [simplify]: iters left: 3 (63 enodes) 48.262 * * [simplify]: Extracting #0: cost 1 inf + 0 48.262 * * [simplify]: Extracting #1: cost 7 inf + 0 48.262 * * [simplify]: Extracting #2: cost 16 inf + 0 48.262 * * [simplify]: Extracting #3: cost 24 inf + 0 48.262 * * [simplify]: Extracting #4: cost 24 inf + 84 48.262 * * [simplify]: Extracting #5: cost 27 inf + 84 48.263 * * [simplify]: Extracting #6: cost 24 inf + 240 48.263 * * [simplify]: Extracting #7: cost 14 inf + 1779 48.263 * * [simplify]: Extracting #8: cost 4 inf + 4479 48.264 * * [simplify]: Extracting #9: cost 0 inf + 5991 48.265 * [simplify]: Simplified to (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 48.266 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))))) 48.266 * * * * [progress]: [ 171 / 253 ] simplifiying candidate # 48.266 * [simplify]: Simplifying (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 48.266 * * [simplify]: iters left: 6 (16 enodes) 48.270 * * [simplify]: iters left: 5 (55 enodes) 48.278 * * [simplify]: iters left: 4 (59 enodes) 48.287 * * [simplify]: Extracting #0: cost 1 inf + 0 48.287 * * [simplify]: Extracting #1: cost 6 inf + 0 48.287 * * [simplify]: Extracting #2: cost 13 inf + 0 48.287 * * [simplify]: Extracting #3: cost 19 inf + 0 48.287 * * [simplify]: Extracting #4: cost 22 inf + 42 48.287 * * [simplify]: Extracting #5: cost 24 inf + 84 48.287 * * [simplify]: Extracting #6: cost 23 inf + 239 48.287 * * [simplify]: Extracting #7: cost 17 inf + 1203 48.288 * * [simplify]: Extracting #8: cost 9 inf + 2827 48.290 * * [simplify]: Extracting #9: cost 1 inf + 6051 48.291 * * [simplify]: Extracting #10: cost 0 inf + 6629 48.293 * [simplify]: Simplified to (/ (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (cbrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (cbrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 48.293 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (cbrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (cbrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 48.294 * [simplify]: Simplifying (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 48.294 * * [simplify]: iters left: 6 (15 enodes) 48.302 * * [simplify]: iters left: 5 (54 enodes) 48.321 * * [simplify]: iters left: 4 (69 enodes) 48.340 * * [simplify]: iters left: 3 (80 enodes) 48.364 * * [simplify]: iters left: 2 (84 enodes) 48.387 * * [simplify]: iters left: 1 (86 enodes) 48.409 * * [simplify]: Extracting #0: cost 1 inf + 0 48.409 * * [simplify]: Extracting #1: cost 7 inf + 0 48.410 * * [simplify]: Extracting #2: cost 20 inf + 0 48.410 * * [simplify]: Extracting #3: cost 31 inf + 0 48.410 * * [simplify]: Extracting #4: cost 33 inf + 123 48.410 * * [simplify]: Extracting #5: cost 28 inf + 458 48.411 * * [simplify]: Extracting #6: cost 23 inf + 1783 48.411 * * [simplify]: Extracting #7: cost 22 inf + 2019 48.412 * * [simplify]: Extracting #8: cost 13 inf + 3901 48.415 * * [simplify]: Extracting #9: cost 3 inf + 8561 48.418 * * [simplify]: Extracting #10: cost 0 inf + 9975 48.421 * [simplify]: Simplified to (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (cbrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 48.421 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (cbrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))))) 48.421 * * * * [progress]: [ 172 / 253 ] simplifiying candidate # 48.422 * [simplify]: Simplifying (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 48.422 * * [simplify]: iters left: 6 (16 enodes) 48.427 * * [simplify]: iters left: 5 (54 enodes) 48.435 * * [simplify]: iters left: 4 (56 enodes) 48.443 * * [simplify]: Extracting #0: cost 1 inf + 0 48.443 * * [simplify]: Extracting #1: cost 4 inf + 0 48.443 * * [simplify]: Extracting #2: cost 10 inf + 0 48.443 * * [simplify]: Extracting #3: cost 17 inf + 0 48.443 * * [simplify]: Extracting #4: cost 21 inf + 1 48.443 * * [simplify]: Extracting #5: cost 22 inf + 84 48.443 * * [simplify]: Extracting #6: cost 20 inf + 296 48.444 * * [simplify]: Extracting #7: cost 14 inf + 1421 48.444 * * [simplify]: Extracting #8: cost 5 inf + 3383 48.445 * * [simplify]: Extracting #9: cost 0 inf + 5473 48.447 * [simplify]: Simplified to (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (fabs (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 48.447 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (fabs (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 48.448 * [simplify]: Simplifying (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 48.448 * * [simplify]: iters left: 6 (15 enodes) 48.451 * * [simplify]: iters left: 5 (54 enodes) 48.460 * * [simplify]: iters left: 4 (69 enodes) 48.470 * * [simplify]: iters left: 3 (80 enodes) 48.491 * * [simplify]: iters left: 2 (84 enodes) 48.514 * * [simplify]: iters left: 1 (86 enodes) 48.537 * * [simplify]: Extracting #0: cost 1 inf + 0 48.537 * * [simplify]: Extracting #1: cost 7 inf + 0 48.537 * * [simplify]: Extracting #2: cost 20 inf + 0 48.538 * * [simplify]: Extracting #3: cost 31 inf + 0 48.538 * * [simplify]: Extracting #4: cost 33 inf + 123 48.538 * * [simplify]: Extracting #5: cost 28 inf + 458 48.539 * * [simplify]: Extracting #6: cost 23 inf + 1783 48.539 * * [simplify]: Extracting #7: cost 22 inf + 2019 48.540 * * [simplify]: Extracting #8: cost 13 inf + 3981 48.543 * * [simplify]: Extracting #9: cost 3 inf + 8641 48.546 * * [simplify]: Extracting #10: cost 0 inf + 10055 48.549 * [simplify]: Simplified to (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 48.549 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (* (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)))) (sqrt (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))))) 48.550 * * * * [progress]: [ 173 / 253 ] simplifiying candidate # 48.550 * [simplify]: Simplifying (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 48.550 * * [simplify]: iters left: 6 (15 enodes) 48.558 * * [simplify]: iters left: 5 (50 enodes) 48.572 * * [simplify]: iters left: 4 (52 enodes) 48.589 * * [simplify]: Extracting #0: cost 1 inf + 0 48.589 * * [simplify]: Extracting #1: cost 4 inf + 0 48.589 * * [simplify]: Extracting #2: cost 9 inf + 0 48.589 * * [simplify]: Extracting #3: cost 15 inf + 0 48.589 * * [simplify]: Extracting #4: cost 19 inf + 1 48.589 * * [simplify]: Extracting #5: cost 21 inf + 43 48.589 * * [simplify]: Extracting #6: cost 19 inf + 239 48.590 * * [simplify]: Extracting #7: cost 13 inf + 1203 48.590 * * [simplify]: Extracting #8: cost 5 inf + 2787 48.591 * * [simplify]: Extracting #9: cost 0 inf + 4557 48.591 * [simplify]: Simplified to (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 48.591 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 48.592 * [simplify]: Simplifying (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 48.592 * * [simplify]: iters left: 6 (15 enodes) 48.596 * * [simplify]: iters left: 5 (54 enodes) 48.605 * * [simplify]: iters left: 4 (69 enodes) 48.615 * * [simplify]: iters left: 3 (80 enodes) 48.634 * * [simplify]: iters left: 2 (84 enodes) 48.657 * * [simplify]: iters left: 1 (86 enodes) 48.681 * * [simplify]: Extracting #0: cost 1 inf + 0 48.681 * * [simplify]: Extracting #1: cost 7 inf + 0 48.681 * * [simplify]: Extracting #2: cost 20 inf + 0 48.681 * * [simplify]: Extracting #3: cost 31 inf + 0 48.681 * * [simplify]: Extracting #4: cost 33 inf + 123 48.681 * * [simplify]: Extracting #5: cost 28 inf + 458 48.682 * * [simplify]: Extracting #6: cost 23 inf + 1783 48.683 * * [simplify]: Extracting #7: cost 22 inf + 2019 48.684 * * [simplify]: Extracting #8: cost 13 inf + 3861 48.686 * * [simplify]: Extracting #9: cost 3 inf + 8121 48.689 * * [simplify]: Extracting #10: cost 0 inf + 9415 48.692 * [simplify]: Simplified to (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 48.692 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))))) 48.693 * * * * [progress]: [ 174 / 253 ] simplifiying candidate # 48.693 * [simplify]: Simplifying (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt 1)) 48.693 * * [simplify]: iters left: 6 (10 enodes) 48.699 * * [simplify]: iters left: 5 (33 enodes) 48.708 * * [simplify]: iters left: 4 (35 enodes) 48.714 * * [simplify]: iters left: 3 (37 enodes) 48.719 * * [simplify]: Extracting #0: cost 1 inf + 0 48.719 * * [simplify]: Extracting #1: cost 5 inf + 0 48.719 * * [simplify]: Extracting #2: cost 8 inf + 1 48.719 * * [simplify]: Extracting #3: cost 9 inf + 2 48.719 * * [simplify]: Extracting #4: cost 9 inf + 84 48.719 * * [simplify]: Extracting #5: cost 8 inf + 85 48.719 * * [simplify]: Extracting #6: cost 5 inf + 296 48.719 * * [simplify]: Extracting #7: cost 0 inf + 1185 48.719 * [simplify]: Simplified to (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 48.720 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 48.720 * [simplify]: Simplifying (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 48.720 * * [simplify]: iters left: 6 (14 enodes) 48.724 * * [simplify]: iters left: 5 (51 enodes) 48.732 * * [simplify]: iters left: 4 (66 enodes) 48.747 * * [simplify]: iters left: 3 (77 enodes) 48.769 * * [simplify]: iters left: 2 (81 enodes) 48.791 * * [simplify]: iters left: 1 (83 enodes) 48.813 * * [simplify]: Extracting #0: cost 1 inf + 0 48.813 * * [simplify]: Extracting #1: cost 7 inf + 0 48.813 * * [simplify]: Extracting #2: cost 20 inf + 0 48.813 * * [simplify]: Extracting #3: cost 32 inf + 0 48.813 * * [simplify]: Extracting #4: cost 33 inf + 43 48.814 * * [simplify]: Extracting #5: cost 29 inf + 401 48.814 * * [simplify]: Extracting #6: cost 20 inf + 2019 48.815 * * [simplify]: Extracting #7: cost 11 inf + 4101 48.818 * * [simplify]: Extracting #8: cost 2 inf + 7543 48.821 * * [simplify]: Extracting #9: cost 0 inf + 8339 48.823 * [simplify]: Simplified to (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 48.824 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 48.824 * * * * [progress]: [ 175 / 253 ] simplifiying candidate # 48.824 * [simplify]: Simplifying (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (sqrt 1))) 48.824 * * [simplify]: iters left: 6 (11 enodes) 48.834 * * [simplify]: iters left: 5 (36 enodes) 48.845 * * [simplify]: iters left: 4 (38 enodes) 48.855 * * [simplify]: iters left: 3 (40 enodes) 48.865 * * [simplify]: Extracting #0: cost 1 inf + 0 48.865 * * [simplify]: Extracting #1: cost 5 inf + 0 48.865 * * [simplify]: Extracting #2: cost 8 inf + 1 48.865 * * [simplify]: Extracting #3: cost 9 inf + 2 48.866 * * [simplify]: Extracting #4: cost 9 inf + 84 48.866 * * [simplify]: Extracting #5: cost 8 inf + 85 48.866 * * [simplify]: Extracting #6: cost 6 inf + 239 48.866 * * [simplify]: Extracting #7: cost 0 inf + 1185 48.867 * [simplify]: Simplified to (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 48.867 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 48.867 * [simplify]: Simplifying (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 48.867 * * [simplify]: iters left: 6 (15 enodes) 48.875 * * [simplify]: iters left: 5 (54 enodes) 48.890 * * [simplify]: iters left: 4 (69 enodes) 48.910 * * [simplify]: iters left: 3 (80 enodes) 48.932 * * [simplify]: iters left: 2 (84 enodes) 48.954 * * [simplify]: iters left: 1 (86 enodes) 48.979 * * [simplify]: Extracting #0: cost 1 inf + 0 48.979 * * [simplify]: Extracting #1: cost 7 inf + 0 48.980 * * [simplify]: Extracting #2: cost 20 inf + 0 48.980 * * [simplify]: Extracting #3: cost 32 inf + 0 48.980 * * [simplify]: Extracting #4: cost 32 inf + 124 48.980 * * [simplify]: Extracting #5: cost 28 inf + 458 48.981 * * [simplify]: Extracting #6: cost 21 inf + 1881 48.982 * * [simplify]: Extracting #7: cost 13 inf + 3305 48.984 * * [simplify]: Extracting #8: cost 3 inf + 7165 48.987 * * [simplify]: Extracting #9: cost 0 inf + 8339 48.990 * [simplify]: Simplified to (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 48.990 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 48.991 * * * * [progress]: [ 176 / 253 ] simplifiying candidate # 48.991 * [simplify]: Simplifying (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (sqrt 1))) 48.991 * * [simplify]: iters left: 6 (11 enodes) 48.999 * * [simplify]: iters left: 5 (36 enodes) 49.009 * * [simplify]: iters left: 4 (38 enodes) 49.019 * * [simplify]: iters left: 3 (40 enodes) 49.029 * * [simplify]: Extracting #0: cost 1 inf + 0 49.029 * * [simplify]: Extracting #1: cost 5 inf + 0 49.029 * * [simplify]: Extracting #2: cost 8 inf + 1 49.029 * * [simplify]: Extracting #3: cost 9 inf + 2 49.029 * * [simplify]: Extracting #4: cost 9 inf + 84 49.030 * * [simplify]: Extracting #5: cost 8 inf + 85 49.030 * * [simplify]: Extracting #6: cost 6 inf + 239 49.030 * * [simplify]: Extracting #7: cost 0 inf + 1185 49.031 * [simplify]: Simplified to (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 49.031 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 49.031 * [simplify]: Simplifying (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 49.031 * * [simplify]: iters left: 6 (15 enodes) 49.039 * * [simplify]: iters left: 5 (54 enodes) 49.055 * * [simplify]: iters left: 4 (69 enodes) 49.067 * * [simplify]: iters left: 3 (80 enodes) 49.078 * * [simplify]: iters left: 2 (84 enodes) 49.089 * * [simplify]: iters left: 1 (86 enodes) 49.112 * * [simplify]: Extracting #0: cost 1 inf + 0 49.112 * * [simplify]: Extracting #1: cost 7 inf + 0 49.112 * * [simplify]: Extracting #2: cost 20 inf + 0 49.112 * * [simplify]: Extracting #3: cost 32 inf + 0 49.113 * * [simplify]: Extracting #4: cost 32 inf + 124 49.113 * * [simplify]: Extracting #5: cost 28 inf + 458 49.114 * * [simplify]: Extracting #6: cost 21 inf + 1881 49.115 * * [simplify]: Extracting #7: cost 13 inf + 3305 49.117 * * [simplify]: Extracting #8: cost 3 inf + 7165 49.119 * * [simplify]: Extracting #9: cost 0 inf + 8339 49.121 * [simplify]: Simplified to (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 49.121 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 49.121 * * * * [progress]: [ 177 / 253 ] simplifiying candidate # 49.122 * [simplify]: Simplifying (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt 1)) 49.122 * * [simplify]: iters left: 6 (10 enodes) 49.125 * * [simplify]: iters left: 5 (33 enodes) 49.130 * * [simplify]: iters left: 4 (35 enodes) 49.135 * * [simplify]: iters left: 3 (37 enodes) 49.140 * * [simplify]: Extracting #0: cost 1 inf + 0 49.140 * * [simplify]: Extracting #1: cost 5 inf + 0 49.140 * * [simplify]: Extracting #2: cost 8 inf + 1 49.140 * * [simplify]: Extracting #3: cost 9 inf + 2 49.140 * * [simplify]: Extracting #4: cost 9 inf + 84 49.140 * * [simplify]: Extracting #5: cost 8 inf + 85 49.140 * * [simplify]: Extracting #6: cost 5 inf + 296 49.141 * * [simplify]: Extracting #7: cost 0 inf + 1185 49.141 * [simplify]: Simplified to (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 49.141 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 49.141 * [simplify]: Simplifying (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 49.141 * * [simplify]: iters left: 6 (14 enodes) 49.145 * * [simplify]: iters left: 5 (51 enodes) 49.153 * * [simplify]: iters left: 4 (66 enodes) 49.168 * * [simplify]: iters left: 3 (77 enodes) 49.179 * * [simplify]: iters left: 2 (81 enodes) 49.190 * * [simplify]: iters left: 1 (83 enodes) 49.203 * * [simplify]: Extracting #0: cost 1 inf + 0 49.203 * * [simplify]: Extracting #1: cost 7 inf + 0 49.203 * * [simplify]: Extracting #2: cost 20 inf + 0 49.203 * * [simplify]: Extracting #3: cost 32 inf + 0 49.203 * * [simplify]: Extracting #4: cost 33 inf + 43 49.203 * * [simplify]: Extracting #5: cost 29 inf + 401 49.204 * * [simplify]: Extracting #6: cost 20 inf + 2019 49.204 * * [simplify]: Extracting #7: cost 11 inf + 4101 49.206 * * [simplify]: Extracting #8: cost 2 inf + 7543 49.207 * * [simplify]: Extracting #9: cost 0 inf + 8339 49.208 * [simplify]: Simplified to (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 49.208 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 49.209 * * * * [progress]: [ 178 / 253 ] simplifiying candidate # 49.209 * [simplify]: Simplifying (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 49.209 * * [simplify]: iters left: 6 (15 enodes) 49.213 * * [simplify]: iters left: 5 (50 enodes) 49.224 * * [simplify]: iters left: 4 (52 enodes) 49.240 * * [simplify]: Extracting #0: cost 1 inf + 0 49.240 * * [simplify]: Extracting #1: cost 4 inf + 0 49.240 * * [simplify]: Extracting #2: cost 9 inf + 0 49.240 * * [simplify]: Extracting #3: cost 15 inf + 0 49.240 * * [simplify]: Extracting #4: cost 19 inf + 1 49.240 * * [simplify]: Extracting #5: cost 21 inf + 43 49.240 * * [simplify]: Extracting #6: cost 19 inf + 239 49.240 * * [simplify]: Extracting #7: cost 13 inf + 1203 49.241 * * [simplify]: Extracting #8: cost 5 inf + 2787 49.241 * * [simplify]: Extracting #9: cost 0 inf + 4557 49.242 * [simplify]: Simplified to (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 49.242 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 49.242 * [simplify]: Simplifying (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 49.242 * * [simplify]: iters left: 6 (15 enodes) 49.246 * * [simplify]: iters left: 5 (54 enodes) 49.255 * * [simplify]: iters left: 4 (69 enodes) 49.265 * * [simplify]: iters left: 3 (80 enodes) 49.276 * * [simplify]: iters left: 2 (84 enodes) 49.289 * * [simplify]: iters left: 1 (86 enodes) 49.300 * * [simplify]: Extracting #0: cost 1 inf + 0 49.300 * * [simplify]: Extracting #1: cost 7 inf + 0 49.300 * * [simplify]: Extracting #2: cost 20 inf + 0 49.300 * * [simplify]: Extracting #3: cost 31 inf + 0 49.300 * * [simplify]: Extracting #4: cost 33 inf + 123 49.300 * * [simplify]: Extracting #5: cost 28 inf + 458 49.300 * * [simplify]: Extracting #6: cost 23 inf + 1783 49.301 * * [simplify]: Extracting #7: cost 22 inf + 2019 49.301 * * [simplify]: Extracting #8: cost 13 inf + 3861 49.302 * * [simplify]: Extracting #9: cost 3 inf + 8121 49.304 * * [simplify]: Extracting #10: cost 0 inf + 9415 49.306 * [simplify]: Simplified to (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 49.306 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))))) 49.306 * * * * [progress]: [ 179 / 253 ] simplifiying candidate # 49.306 * [simplify]: Simplifying (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 1) 49.306 * * [simplify]: iters left: 6 (9 enodes) 49.309 * * [simplify]: iters left: 5 (28 enodes) 49.313 * * [simplify]: iters left: 4 (30 enodes) 49.318 * * [simplify]: Extracting #0: cost 1 inf + 0 49.318 * * [simplify]: Extracting #1: cost 5 inf + 0 49.318 * * [simplify]: Extracting #2: cost 8 inf + 1 49.318 * * [simplify]: Extracting #3: cost 9 inf + 2 49.318 * * [simplify]: Extracting #4: cost 9 inf + 84 49.318 * * [simplify]: Extracting #5: cost 8 inf + 85 49.318 * * [simplify]: Extracting #6: cost 6 inf + 239 49.318 * * [simplify]: Extracting #7: cost 2 inf + 789 49.319 * * [simplify]: Extracting #8: cost 0 inf + 1185 49.319 * [simplify]: Simplified to (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 49.319 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 49.319 * [simplify]: Simplifying (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 49.319 * * [simplify]: iters left: 6 (14 enodes) 49.323 * * [simplify]: iters left: 5 (51 enodes) 49.331 * * [simplify]: iters left: 4 (66 enodes) 49.341 * * [simplify]: iters left: 3 (77 enodes) 49.352 * * [simplify]: iters left: 2 (81 enodes) 49.368 * * [simplify]: iters left: 1 (83 enodes) 49.390 * * [simplify]: Extracting #0: cost 1 inf + 0 49.391 * * [simplify]: Extracting #1: cost 7 inf + 0 49.391 * * [simplify]: Extracting #2: cost 20 inf + 0 49.391 * * [simplify]: Extracting #3: cost 32 inf + 0 49.391 * * [simplify]: Extracting #4: cost 33 inf + 43 49.391 * * [simplify]: Extracting #5: cost 29 inf + 401 49.392 * * [simplify]: Extracting #6: cost 20 inf + 2019 49.393 * * [simplify]: Extracting #7: cost 11 inf + 4101 49.396 * * [simplify]: Extracting #8: cost 2 inf + 7543 49.398 * * [simplify]: Extracting #9: cost 0 inf + 8339 49.401 * [simplify]: Simplified to (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 49.401 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 49.401 * * * * [progress]: [ 180 / 253 ] simplifiying candidate # 49.401 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 49.401 * * [simplify]: iters left: 6 (12 enodes) 49.407 * * [simplify]: iters left: 5 (42 enodes) 49.418 * * [simplify]: iters left: 4 (46 enodes) 49.426 * * [simplify]: Extracting #0: cost 1 inf + 0 49.426 * * [simplify]: Extracting #1: cost 6 inf + 0 49.426 * * [simplify]: Extracting #2: cost 9 inf + 1 49.426 * * [simplify]: Extracting #3: cost 11 inf + 1 49.426 * * [simplify]: Extracting #4: cost 13 inf + 1 49.426 * * [simplify]: Extracting #5: cost 15 inf + 1 49.426 * * [simplify]: Extracting #6: cost 18 inf + 1 49.426 * * [simplify]: Extracting #7: cost 19 inf + 2 49.426 * * [simplify]: Extracting #8: cost 21 inf + 2 49.426 * * [simplify]: Extracting #9: cost 18 inf + 117 49.426 * * [simplify]: Extracting #10: cost 15 inf + 451 49.426 * * [simplify]: Extracting #11: cost 10 inf + 1381 49.427 * * [simplify]: Extracting #12: cost 6 inf + 2573 49.427 * * [simplify]: Extracting #13: cost 3 inf + 3747 49.428 * * [simplify]: Extracting #14: cost 0 inf + 4921 49.429 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 49.429 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 49.429 * [simplify]: Simplifying (/ (- 1/2 (/ 1/2 (hypot 1 x))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 49.429 * * [simplify]: iters left: 6 (12 enodes) 49.433 * * [simplify]: iters left: 5 (45 enodes) 49.440 * * [simplify]: iters left: 4 (61 enodes) 49.450 * * [simplify]: iters left: 3 (72 enodes) 49.460 * * [simplify]: iters left: 2 (76 enodes) 49.479 * * [simplify]: iters left: 1 (78 enodes) 49.496 * * [simplify]: Extracting #0: cost 1 inf + 0 49.496 * * [simplify]: Extracting #1: cost 7 inf + 0 49.496 * * [simplify]: Extracting #2: cost 20 inf + 0 49.496 * * [simplify]: Extracting #3: cost 27 inf + 2 49.496 * * [simplify]: Extracting #4: cost 27 inf + 4 49.497 * * [simplify]: Extracting #5: cost 25 inf + 395 49.497 * * [simplify]: Extracting #6: cost 18 inf + 1578 49.498 * * [simplify]: Extracting #7: cost 4 inf + 6152 49.499 * * [simplify]: Extracting #8: cost 0 inf + 7744 49.500 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (cbrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 49.500 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (cbrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))))) 49.501 * * * * [progress]: [ 181 / 253 ] simplifiying candidate # 49.501 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 49.501 * * [simplify]: iters left: 6 (12 enodes) 49.504 * * [simplify]: iters left: 5 (41 enodes) 49.510 * * [simplify]: iters left: 4 (43 enodes) 49.517 * * [simplify]: Extracting #0: cost 1 inf + 0 49.517 * * [simplify]: Extracting #1: cost 4 inf + 0 49.517 * * [simplify]: Extracting #2: cost 6 inf + 1 49.517 * * [simplify]: Extracting #3: cost 9 inf + 1 49.517 * * [simplify]: Extracting #4: cost 11 inf + 1 49.517 * * [simplify]: Extracting #5: cost 13 inf + 1 49.517 * * [simplify]: Extracting #6: cost 16 inf + 1 49.517 * * [simplify]: Extracting #7: cost 17 inf + 2 49.517 * * [simplify]: Extracting #8: cost 19 inf + 2 49.517 * * [simplify]: Extracting #9: cost 17 inf + 60 49.517 * * [simplify]: Extracting #10: cost 13 inf + 451 49.517 * * [simplify]: Extracting #11: cost 9 inf + 1163 49.518 * * [simplify]: Extracting #12: cost 2 inf + 3369 49.518 * * [simplify]: Extracting #13: cost 0 inf + 4085 49.519 * [simplify]: Simplified to (/ 1 (fabs (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 49.519 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (fabs (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 49.519 * [simplify]: Simplifying (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 49.519 * * [simplify]: iters left: 6 (12 enodes) 49.523 * * [simplify]: iters left: 5 (45 enodes) 49.538 * * [simplify]: iters left: 4 (61 enodes) 49.556 * * [simplify]: iters left: 3 (72 enodes) 49.576 * * [simplify]: iters left: 2 (76 enodes) 49.587 * * [simplify]: iters left: 1 (78 enodes) 49.601 * * [simplify]: Extracting #0: cost 1 inf + 0 49.601 * * [simplify]: Extracting #1: cost 7 inf + 0 49.601 * * [simplify]: Extracting #2: cost 20 inf + 0 49.601 * * [simplify]: Extracting #3: cost 27 inf + 2 49.602 * * [simplify]: Extracting #4: cost 27 inf + 4 49.602 * * [simplify]: Extracting #5: cost 25 inf + 395 49.602 * * [simplify]: Extracting #6: cost 18 inf + 1618 49.604 * * [simplify]: Extracting #7: cost 4 inf + 6232 49.606 * * [simplify]: Extracting #8: cost 0 inf + 7824 49.609 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 49.609 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (* (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))) (sqrt (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))))) 49.609 * * * * [progress]: [ 182 / 253 ] simplifiying candidate # 49.610 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 49.610 * * [simplify]: iters left: 6 (11 enodes) 49.615 * * [simplify]: iters left: 5 (37 enodes) 49.626 * * [simplify]: iters left: 4 (39 enodes) 49.632 * * [simplify]: Extracting #0: cost 1 inf + 0 49.632 * * [simplify]: Extracting #1: cost 4 inf + 0 49.632 * * [simplify]: Extracting #2: cost 5 inf + 1 49.632 * * [simplify]: Extracting #3: cost 7 inf + 1 49.632 * * [simplify]: Extracting #4: cost 9 inf + 1 49.632 * * [simplify]: Extracting #5: cost 11 inf + 1 49.632 * * [simplify]: Extracting #6: cost 14 inf + 1 49.632 * * [simplify]: Extracting #7: cost 15 inf + 2 49.632 * * [simplify]: Extracting #8: cost 17 inf + 2 49.632 * * [simplify]: Extracting #9: cost 15 inf + 60 49.632 * * [simplify]: Extracting #10: cost 12 inf + 353 49.632 * * [simplify]: Extracting #11: cost 7 inf + 1163 49.633 * * [simplify]: Extracting #12: cost 3 inf + 2195 49.633 * * [simplify]: Extracting #13: cost 0 inf + 3169 49.634 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 49.634 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 49.634 * [simplify]: Simplifying (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 49.634 * * [simplify]: iters left: 6 (12 enodes) 49.638 * * [simplify]: iters left: 5 (45 enodes) 49.645 * * [simplify]: iters left: 4 (61 enodes) 49.655 * * [simplify]: iters left: 3 (72 enodes) 49.667 * * [simplify]: iters left: 2 (76 enodes) 49.689 * * [simplify]: iters left: 1 (78 enodes) 49.708 * * [simplify]: Extracting #0: cost 1 inf + 0 49.708 * * [simplify]: Extracting #1: cost 7 inf + 0 49.708 * * [simplify]: Extracting #2: cost 20 inf + 0 49.709 * * [simplify]: Extracting #3: cost 27 inf + 2 49.709 * * [simplify]: Extracting #4: cost 27 inf + 4 49.709 * * [simplify]: Extracting #5: cost 25 inf + 395 49.709 * * [simplify]: Extracting #6: cost 18 inf + 1578 49.710 * * [simplify]: Extracting #7: cost 4 inf + 5752 49.711 * * [simplify]: Extracting #8: cost 0 inf + 7184 49.712 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 49.713 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))))) 49.713 * * * * [progress]: [ 183 / 253 ] simplifiying candidate # 49.713 * [simplify]: Simplifying (/ 1 (sqrt 1)) 49.713 * * [simplify]: iters left: 3 (3 enodes) 49.716 * * [simplify]: iters left: 2 (11 enodes) 49.718 * * [simplify]: iters left: 1 (13 enodes) 49.720 * * [simplify]: Extracting #0: cost 1 inf + 0 49.720 * * [simplify]: Extracting #1: cost 0 inf + 1 49.720 * [simplify]: Simplified to 1 49.720 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 49.720 * [simplify]: Simplifying (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 49.720 * * [simplify]: iters left: 6 (11 enodes) 49.723 * * [simplify]: iters left: 5 (42 enodes) 49.730 * * [simplify]: iters left: 4 (58 enodes) 49.741 * * [simplify]: iters left: 3 (69 enodes) 49.759 * * [simplify]: iters left: 2 (73 enodes) 49.771 * * [simplify]: iters left: 1 (75 enodes) 49.781 * * [simplify]: Extracting #0: cost 1 inf + 0 49.781 * * [simplify]: Extracting #1: cost 7 inf + 0 49.782 * * [simplify]: Extracting #2: cost 20 inf + 0 49.782 * * [simplify]: Extracting #3: cost 27 inf + 2 49.782 * * [simplify]: Extracting #4: cost 27 inf + 4 49.782 * * [simplify]: Extracting #5: cost 22 inf + 550 49.782 * * [simplify]: Extracting #6: cost 12 inf + 2410 49.783 * * [simplify]: Extracting #7: cost 2 inf + 5471 49.784 * * [simplify]: Extracting #8: cost 0 inf + 6108 49.785 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 49.785 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 49.786 * * * * [progress]: [ 184 / 253 ] simplifiying candidate # 49.786 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 1))) 49.786 * * [simplify]: iters left: 4 (4 enodes) 49.788 * * [simplify]: iters left: 3 (14 enodes) 49.790 * * [simplify]: iters left: 2 (16 enodes) 49.792 * * [simplify]: Extracting #0: cost 1 inf + 0 49.792 * * [simplify]: Extracting #1: cost 0 inf + 1 49.792 * [simplify]: Simplified to 1 49.792 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 49.792 * [simplify]: Simplifying (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 49.792 * * [simplify]: iters left: 6 (12 enodes) 49.797 * * [simplify]: iters left: 5 (45 enodes) 49.814 * * [simplify]: iters left: 4 (61 enodes) 49.831 * * [simplify]: iters left: 3 (72 enodes) 49.851 * * [simplify]: iters left: 2 (76 enodes) 49.872 * * [simplify]: iters left: 1 (78 enodes) 49.886 * * [simplify]: Extracting #0: cost 1 inf + 0 49.886 * * [simplify]: Extracting #1: cost 7 inf + 0 49.886 * * [simplify]: Extracting #2: cost 20 inf + 0 49.887 * * [simplify]: Extracting #3: cost 27 inf + 2 49.887 * * [simplify]: Extracting #4: cost 27 inf + 4 49.887 * * [simplify]: Extracting #5: cost 24 inf + 395 49.887 * * [simplify]: Extracting #6: cost 17 inf + 1320 49.888 * * [simplify]: Extracting #7: cost 4 inf + 4836 49.889 * * [simplify]: Extracting #8: cost 0 inf + 6108 49.890 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 49.890 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 49.890 * * * * [progress]: [ 185 / 253 ] simplifiying candidate # 49.890 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 1))) 49.891 * * [simplify]: iters left: 4 (4 enodes) 49.892 * * [simplify]: iters left: 3 (14 enodes) 49.894 * * [simplify]: iters left: 2 (16 enodes) 49.896 * * [simplify]: Extracting #0: cost 1 inf + 0 49.896 * * [simplify]: Extracting #1: cost 0 inf + 1 49.896 * [simplify]: Simplified to 1 49.896 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 49.897 * [simplify]: Simplifying (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 49.897 * * [simplify]: iters left: 6 (12 enodes) 49.901 * * [simplify]: iters left: 5 (45 enodes) 49.912 * * [simplify]: iters left: 4 (61 enodes) 49.929 * * [simplify]: iters left: 3 (72 enodes) 49.951 * * [simplify]: iters left: 2 (76 enodes) 49.972 * * [simplify]: iters left: 1 (78 enodes) 49.993 * * [simplify]: Extracting #0: cost 1 inf + 0 49.993 * * [simplify]: Extracting #1: cost 7 inf + 0 49.993 * * [simplify]: Extracting #2: cost 20 inf + 0 49.993 * * [simplify]: Extracting #3: cost 27 inf + 2 49.993 * * [simplify]: Extracting #4: cost 27 inf + 4 49.994 * * [simplify]: Extracting #5: cost 24 inf + 395 49.994 * * [simplify]: Extracting #6: cost 17 inf + 1320 49.995 * * [simplify]: Extracting #7: cost 4 inf + 4836 49.997 * * [simplify]: Extracting #8: cost 0 inf + 6108 49.998 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 49.998 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 49.998 * * * * [progress]: [ 186 / 253 ] simplifiying candidate # 49.998 * [simplify]: Simplifying (/ 1 (sqrt 1)) 49.998 * * [simplify]: iters left: 3 (3 enodes) 50.002 * * [simplify]: iters left: 2 (11 enodes) 50.004 * * [simplify]: iters left: 1 (13 enodes) 50.006 * * [simplify]: Extracting #0: cost 1 inf + 0 50.006 * * [simplify]: Extracting #1: cost 0 inf + 1 50.006 * [simplify]: Simplified to 1 50.006 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 50.006 * [simplify]: Simplifying (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 50.006 * * [simplify]: iters left: 6 (11 enodes) 50.009 * * [simplify]: iters left: 5 (42 enodes) 50.016 * * [simplify]: iters left: 4 (58 enodes) 50.026 * * [simplify]: iters left: 3 (69 enodes) 50.045 * * [simplify]: iters left: 2 (73 enodes) 50.065 * * [simplify]: iters left: 1 (75 enodes) 50.086 * * [simplify]: Extracting #0: cost 1 inf + 0 50.087 * * [simplify]: Extracting #1: cost 7 inf + 0 50.087 * * [simplify]: Extracting #2: cost 20 inf + 0 50.087 * * [simplify]: Extracting #3: cost 27 inf + 2 50.087 * * [simplify]: Extracting #4: cost 27 inf + 4 50.087 * * [simplify]: Extracting #5: cost 22 inf + 550 50.088 * * [simplify]: Extracting #6: cost 12 inf + 2410 50.090 * * [simplify]: Extracting #7: cost 2 inf + 5471 50.092 * * [simplify]: Extracting #8: cost 0 inf + 6108 50.094 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 50.094 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 50.094 * * * * [progress]: [ 187 / 253 ] simplifiying candidate # 50.095 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 50.095 * * [simplify]: iters left: 6 (11 enodes) 50.101 * * [simplify]: iters left: 5 (37 enodes) 50.112 * * [simplify]: iters left: 4 (39 enodes) 50.122 * * [simplify]: Extracting #0: cost 1 inf + 0 50.122 * * [simplify]: Extracting #1: cost 4 inf + 0 50.122 * * [simplify]: Extracting #2: cost 5 inf + 1 50.122 * * [simplify]: Extracting #3: cost 7 inf + 1 50.122 * * [simplify]: Extracting #4: cost 9 inf + 1 50.122 * * [simplify]: Extracting #5: cost 11 inf + 1 50.122 * * [simplify]: Extracting #6: cost 14 inf + 1 50.122 * * [simplify]: Extracting #7: cost 15 inf + 2 50.122 * * [simplify]: Extracting #8: cost 17 inf + 2 50.122 * * [simplify]: Extracting #9: cost 15 inf + 60 50.122 * * [simplify]: Extracting #10: cost 12 inf + 353 50.122 * * [simplify]: Extracting #11: cost 7 inf + 1163 50.123 * * [simplify]: Extracting #12: cost 3 inf + 2195 50.123 * * [simplify]: Extracting #13: cost 0 inf + 3169 50.124 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 50.124 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 50.124 * [simplify]: Simplifying (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 50.124 * * [simplify]: iters left: 6 (12 enodes) 50.127 * * [simplify]: iters left: 5 (45 enodes) 50.134 * * [simplify]: iters left: 4 (61 enodes) 50.142 * * [simplify]: iters left: 3 (72 enodes) 50.156 * * [simplify]: iters left: 2 (76 enodes) 50.178 * * [simplify]: iters left: 1 (78 enodes) 50.198 * * [simplify]: Extracting #0: cost 1 inf + 0 50.198 * * [simplify]: Extracting #1: cost 7 inf + 0 50.198 * * [simplify]: Extracting #2: cost 20 inf + 0 50.200 * * [simplify]: Extracting #3: cost 27 inf + 2 50.201 * * [simplify]: Extracting #4: cost 27 inf + 4 50.201 * * [simplify]: Extracting #5: cost 25 inf + 395 50.201 * * [simplify]: Extracting #6: cost 18 inf + 1578 50.203 * * [simplify]: Extracting #7: cost 4 inf + 5752 50.206 * * [simplify]: Extracting #8: cost 0 inf + 7184 50.208 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 50.209 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))))) 50.209 * * * * [progress]: [ 188 / 253 ] simplifiying candidate # 50.209 * [simplify]: Simplifying (/ 1 1) 50.209 * * [simplify]: iters left: 2 (2 enodes) 50.211 * * [simplify]: iters left: 1 (6 enodes) 50.213 * * [simplify]: Extracting #0: cost 1 inf + 0 50.213 * * [simplify]: Extracting #1: cost 0 inf + 1 50.213 * [simplify]: Simplified to 1 50.213 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 50.214 * [simplify]: Simplifying (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 50.214 * * [simplify]: iters left: 6 (11 enodes) 50.219 * * [simplify]: iters left: 5 (42 enodes) 50.232 * * [simplify]: iters left: 4 (58 enodes) 50.249 * * [simplify]: iters left: 3 (69 enodes) 50.268 * * [simplify]: iters left: 2 (73 enodes) 50.287 * * [simplify]: iters left: 1 (75 enodes) 50.307 * * [simplify]: Extracting #0: cost 1 inf + 0 50.307 * * [simplify]: Extracting #1: cost 7 inf + 0 50.307 * * [simplify]: Extracting #2: cost 20 inf + 0 50.307 * * [simplify]: Extracting #3: cost 27 inf + 2 50.307 * * [simplify]: Extracting #4: cost 27 inf + 4 50.308 * * [simplify]: Extracting #5: cost 22 inf + 550 50.309 * * [simplify]: Extracting #6: cost 12 inf + 2410 50.310 * * [simplify]: Extracting #7: cost 2 inf + 5471 50.312 * * [simplify]: Extracting #8: cost 0 inf + 6108 50.315 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 50.315 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 50.315 * * * * [progress]: [ 189 / 253 ] simplifiying candidate # 50.315 * * * * [progress]: [ 190 / 253 ] simplifiying candidate # 50.315 * * * * [progress]: [ 191 / 253 ] simplifiying candidate # 50.315 * * * * [progress]: [ 192 / 253 ] simplifiying candidate # 50.316 * [simplify]: Simplifying (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 50.316 * * [simplify]: iters left: 6 (10 enodes) 50.320 * * [simplify]: iters left: 5 (34 enodes) 50.330 * * [simplify]: iters left: 4 (36 enodes) 50.340 * * [simplify]: Extracting #0: cost 1 inf + 0 50.341 * * [simplify]: Extracting #1: cost 3 inf + 0 50.341 * * [simplify]: Extracting #2: cost 5 inf + 0 50.341 * * [simplify]: Extracting #3: cost 8 inf + 0 50.341 * * [simplify]: Extracting #4: cost 9 inf + 1 50.341 * * [simplify]: Extracting #5: cost 12 inf + 1 50.341 * * [simplify]: Extracting #6: cost 13 inf + 2 50.341 * * [simplify]: Extracting #7: cost 15 inf + 2 50.341 * * [simplify]: Extracting #8: cost 13 inf + 60 50.341 * * [simplify]: Extracting #9: cost 9 inf + 451 50.342 * * [simplify]: Extracting #10: cost 4 inf + 1381 50.342 * * [simplify]: Extracting #11: cost 0 inf + 2573 50.343 * [simplify]: Simplified to (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 50.343 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (- 1/2 (/ 1/2 (hypot 1 x))) (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 50.343 * * * * [progress]: [ 193 / 253 ] simplifiying candidate # 50.344 * [simplify]: Simplifying (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 50.344 * * [simplify]: iters left: 6 (10 enodes) 50.349 * * [simplify]: iters left: 5 (34 enodes) 50.361 * * [simplify]: iters left: 4 (36 enodes) 50.372 * * [simplify]: Extracting #0: cost 1 inf + 0 50.372 * * [simplify]: Extracting #1: cost 3 inf + 0 50.372 * * [simplify]: Extracting #2: cost 5 inf + 0 50.372 * * [simplify]: Extracting #3: cost 8 inf + 0 50.372 * * [simplify]: Extracting #4: cost 9 inf + 1 50.372 * * [simplify]: Extracting #5: cost 12 inf + 1 50.372 * * [simplify]: Extracting #6: cost 13 inf + 2 50.372 * * [simplify]: Extracting #7: cost 15 inf + 2 50.372 * * [simplify]: Extracting #8: cost 13 inf + 60 50.372 * * [simplify]: Extracting #9: cost 9 inf + 451 50.373 * * [simplify]: Extracting #10: cost 4 inf + 1381 50.373 * * [simplify]: Extracting #11: cost 0 inf + 2653 50.374 * [simplify]: Simplified to (sqrt (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 50.374 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (sqrt (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 50.375 * * * * [progress]: [ 194 / 253 ] simplifiying candidate # 50.375 * [simplify]: Simplifying (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 50.375 * * [simplify]: iters left: 6 (10 enodes) 50.380 * * [simplify]: iters left: 5 (34 enodes) 50.390 * * [simplify]: iters left: 4 (36 enodes) 50.400 * * [simplify]: Extracting #0: cost 1 inf + 0 50.400 * * [simplify]: Extracting #1: cost 3 inf + 0 50.400 * * [simplify]: Extracting #2: cost 5 inf + 0 50.401 * * [simplify]: Extracting #3: cost 8 inf + 0 50.401 * * [simplify]: Extracting #4: cost 9 inf + 1 50.401 * * [simplify]: Extracting #5: cost 12 inf + 1 50.401 * * [simplify]: Extracting #6: cost 13 inf + 2 50.401 * * [simplify]: Extracting #7: cost 15 inf + 2 50.401 * * [simplify]: Extracting #8: cost 13 inf + 60 50.401 * * [simplify]: Extracting #9: cost 9 inf + 451 50.402 * * [simplify]: Extracting #10: cost 4 inf + 1381 50.402 * * [simplify]: Extracting #11: cost 0 inf + 2493 50.403 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 50.403 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 50.403 * * * * [progress]: [ 195 / 253 ] simplifiying candidate # 50.404 * [simplify]: Simplifying (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 50.404 * * [simplify]: iters left: 6 (9 enodes) 50.409 * * [simplify]: iters left: 5 (31 enodes) 50.418 * * [simplify]: iters left: 4 (33 enodes) 50.424 * * [simplify]: Extracting #0: cost 1 inf + 0 50.424 * * [simplify]: Extracting #1: cost 3 inf + 0 50.424 * * [simplify]: Extracting #2: cost 6 inf + 0 50.424 * * [simplify]: Extracting #3: cost 7 inf + 1 50.424 * * [simplify]: Extracting #4: cost 10 inf + 1 50.424 * * [simplify]: Extracting #5: cost 11 inf + 2 50.424 * * [simplify]: Extracting #6: cost 13 inf + 2 50.424 * * [simplify]: Extracting #7: cost 10 inf + 117 50.424 * * [simplify]: Extracting #8: cost 8 inf + 353 50.424 * * [simplify]: Extracting #9: cost 4 inf + 985 50.425 * * [simplify]: Extracting #10: cost 0 inf + 1897 50.425 * [simplify]: Simplified to (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 50.425 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt 1)) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 50.425 * * * * [progress]: [ 196 / 253 ] simplifiying candidate # 50.425 * [simplify]: Simplifying (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 50.425 * * [simplify]: iters left: 6 (10 enodes) 50.429 * * [simplify]: iters left: 5 (34 enodes) 50.434 * * [simplify]: iters left: 4 (36 enodes) 50.439 * * [simplify]: Extracting #0: cost 1 inf + 0 50.439 * * [simplify]: Extracting #1: cost 3 inf + 0 50.439 * * [simplify]: Extracting #2: cost 6 inf + 0 50.439 * * [simplify]: Extracting #3: cost 7 inf + 1 50.439 * * [simplify]: Extracting #4: cost 10 inf + 1 50.439 * * [simplify]: Extracting #5: cost 11 inf + 2 50.439 * * [simplify]: Extracting #6: cost 13 inf + 2 50.439 * * [simplify]: Extracting #7: cost 12 inf + 3 50.439 * * [simplify]: Extracting #8: cost 9 inf + 215 50.439 * * [simplify]: Extracting #9: cost 4 inf + 945 50.440 * * [simplify]: Extracting #10: cost 0 inf + 1897 50.440 * [simplify]: Simplified to (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 50.440 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt 1))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 50.440 * * * * [progress]: [ 197 / 253 ] simplifiying candidate # 50.440 * [simplify]: Simplifying (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 50.440 * * [simplify]: iters left: 6 (10 enodes) 50.443 * * [simplify]: iters left: 5 (34 enodes) 50.448 * * [simplify]: iters left: 4 (36 enodes) 50.454 * * [simplify]: Extracting #0: cost 1 inf + 0 50.454 * * [simplify]: Extracting #1: cost 3 inf + 0 50.454 * * [simplify]: Extracting #2: cost 6 inf + 0 50.454 * * [simplify]: Extracting #3: cost 7 inf + 1 50.454 * * [simplify]: Extracting #4: cost 10 inf + 1 50.454 * * [simplify]: Extracting #5: cost 11 inf + 2 50.454 * * [simplify]: Extracting #6: cost 13 inf + 2 50.455 * * [simplify]: Extracting #7: cost 12 inf + 3 50.455 * * [simplify]: Extracting #8: cost 9 inf + 215 50.455 * * [simplify]: Extracting #9: cost 4 inf + 945 50.456 * * [simplify]: Extracting #10: cost 0 inf + 1897 50.456 * [simplify]: Simplified to (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 50.456 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt 1))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 50.456 * * * * [progress]: [ 198 / 253 ] simplifiying candidate # 50.457 * [simplify]: Simplifying (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 50.457 * * [simplify]: iters left: 6 (9 enodes) 50.462 * * [simplify]: iters left: 5 (31 enodes) 50.471 * * [simplify]: iters left: 4 (33 enodes) 50.483 * * [simplify]: Extracting #0: cost 1 inf + 0 50.483 * * [simplify]: Extracting #1: cost 3 inf + 0 50.483 * * [simplify]: Extracting #2: cost 6 inf + 0 50.483 * * [simplify]: Extracting #3: cost 7 inf + 1 50.484 * * [simplify]: Extracting #4: cost 10 inf + 1 50.484 * * [simplify]: Extracting #5: cost 11 inf + 2 50.484 * * [simplify]: Extracting #6: cost 13 inf + 2 50.484 * * [simplify]: Extracting #7: cost 10 inf + 117 50.484 * * [simplify]: Extracting #8: cost 8 inf + 353 50.484 * * [simplify]: Extracting #9: cost 4 inf + 985 50.485 * * [simplify]: Extracting #10: cost 0 inf + 1897 50.486 * [simplify]: Simplified to (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 50.486 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt 1)) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 50.486 * * * * [progress]: [ 199 / 253 ] simplifiying candidate # 50.486 * [simplify]: Simplifying (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 50.486 * * [simplify]: iters left: 6 (10 enodes) 50.489 * * [simplify]: iters left: 5 (34 enodes) 50.494 * * [simplify]: iters left: 4 (36 enodes) 50.499 * * [simplify]: Extracting #0: cost 1 inf + 0 50.499 * * [simplify]: Extracting #1: cost 3 inf + 0 50.499 * * [simplify]: Extracting #2: cost 5 inf + 0 50.500 * * [simplify]: Extracting #3: cost 8 inf + 0 50.500 * * [simplify]: Extracting #4: cost 9 inf + 1 50.500 * * [simplify]: Extracting #5: cost 12 inf + 1 50.500 * * [simplify]: Extracting #6: cost 13 inf + 2 50.500 * * [simplify]: Extracting #7: cost 15 inf + 2 50.500 * * [simplify]: Extracting #8: cost 13 inf + 60 50.500 * * [simplify]: Extracting #9: cost 9 inf + 451 50.500 * * [simplify]: Extracting #10: cost 4 inf + 1381 50.500 * * [simplify]: Extracting #11: cost 0 inf + 2493 50.501 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 50.501 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 50.501 * * * * [progress]: [ 200 / 253 ] simplifiying candidate # 50.501 * [simplify]: Simplifying (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 50.501 * * [simplify]: iters left: 6 (9 enodes) 50.504 * * [simplify]: iters left: 5 (31 enodes) 50.509 * * [simplify]: iters left: 4 (33 enodes) 50.513 * * [simplify]: Extracting #0: cost 1 inf + 0 50.514 * * [simplify]: Extracting #1: cost 3 inf + 0 50.514 * * [simplify]: Extracting #2: cost 6 inf + 0 50.514 * * [simplify]: Extracting #3: cost 7 inf + 1 50.514 * * [simplify]: Extracting #4: cost 10 inf + 1 50.514 * * [simplify]: Extracting #5: cost 11 inf + 2 50.514 * * [simplify]: Extracting #6: cost 13 inf + 2 50.514 * * [simplify]: Extracting #7: cost 10 inf + 117 50.514 * * [simplify]: Extracting #8: cost 8 inf + 353 50.514 * * [simplify]: Extracting #9: cost 4 inf + 985 50.514 * * [simplify]: Extracting #10: cost 0 inf + 1897 50.515 * [simplify]: Simplified to (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 50.515 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (- 1/2 (/ 1/2 (hypot 1 x))) 1) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 50.515 * * * * [progress]: [ 201 / 253 ] simplifiying candidate # 50.515 * [simplify]: Simplifying (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) 50.515 * * [simplify]: iters left: 6 (8 enodes) 50.519 * * [simplify]: iters left: 5 (28 enodes) 50.528 * * [simplify]: iters left: 4 (36 enodes) 50.539 * * [simplify]: iters left: 3 (38 enodes) 50.550 * * [simplify]: Extracting #0: cost 1 inf + 0 50.550 * * [simplify]: Extracting #1: cost 3 inf + 0 50.550 * * [simplify]: Extracting #2: cost 5 inf + 0 50.550 * * [simplify]: Extracting #3: cost 9 inf + 0 50.551 * * [simplify]: Extracting #4: cost 12 inf + 1 50.551 * * [simplify]: Extracting #5: cost 14 inf + 2 50.551 * * [simplify]: Extracting #6: cost 11 inf + 61 50.551 * * [simplify]: Extracting #7: cost 5 inf + 648 50.552 * * [simplify]: Extracting #8: cost 0 inf + 1738 50.552 * [simplify]: Simplified to (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) 50.552 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (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)))))))) 50.552 * * * * [progress]: [ 202 / 253 ] simplifiying candidate # 50.553 * [simplify]: Simplifying (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 50.553 * * [simplify]: iters left: 6 (7 enodes) 50.557 * * [simplify]: iters left: 5 (25 enodes) 50.563 * * [simplify]: iters left: 4 (33 enodes) 50.568 * * [simplify]: iters left: 3 (35 enodes) 50.573 * * [simplify]: Extracting #0: cost 1 inf + 0 50.573 * * [simplify]: Extracting #1: cost 3 inf + 0 50.573 * * [simplify]: Extracting #2: cost 7 inf + 0 50.573 * * [simplify]: Extracting #3: cost 10 inf + 1 50.573 * * [simplify]: Extracting #4: cost 12 inf + 2 50.573 * * [simplify]: Extracting #5: cost 7 inf + 216 50.574 * * [simplify]: Extracting #6: cost 4 inf + 550 50.574 * * [simplify]: Extracting #7: cost 1 inf + 964 50.574 * * [simplify]: Extracting #8: cost 0 inf + 1142 50.574 * [simplify]: Simplified to (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 50.574 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (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)))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))))))) 50.574 * * * * [progress]: [ 203 / 253 ] simplifiying candidate # 50.574 * * * * [progress]: [ 204 / 253 ] simplifiying candidate # 50.575 * [simplify]: Simplifying (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) 50.575 * * [simplify]: iters left: 6 (8 enodes) 50.577 * * [simplify]: iters left: 5 (27 enodes) 50.581 * * [simplify]: iters left: 4 (29 enodes) 50.588 * * [simplify]: Extracting #0: cost 1 inf + 0 50.588 * * [simplify]: Extracting #1: cost 4 inf + 0 50.588 * * [simplify]: Extracting #2: cost 8 inf + 0 50.588 * * [simplify]: Extracting #3: cost 9 inf + 1 50.588 * * [simplify]: Extracting #4: cost 10 inf + 83 50.588 * * [simplify]: Extracting #5: cost 8 inf + 85 50.588 * * [simplify]: Extracting #6: cost 5 inf + 297 50.589 * * [simplify]: Extracting #7: cost 1 inf + 889 50.589 * * [simplify]: Extracting #8: cost 0 inf + 1107 50.589 * [simplify]: Simplified to (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) 50.589 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (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)))) (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))))))) 50.590 * * * * [progress]: [ 205 / 253 ] simplifiying candidate # 50.590 * [simplify]: Simplifying (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 50.590 * * [simplify]: iters left: 6 (8 enodes) 50.595 * * [simplify]: iters left: 5 (27 enodes) 50.603 * * [simplify]: iters left: 4 (29 enodes) 50.612 * * [simplify]: Extracting #0: cost 1 inf + 0 50.613 * * [simplify]: Extracting #1: cost 4 inf + 0 50.613 * * [simplify]: Extracting #2: cost 8 inf + 0 50.613 * * [simplify]: Extracting #3: cost 9 inf + 1 50.613 * * [simplify]: Extracting #4: cost 10 inf + 83 50.613 * * [simplify]: Extracting #5: cost 8 inf + 85 50.613 * * [simplify]: Extracting #6: cost 5 inf + 296 50.613 * * [simplify]: Extracting #7: cost 1 inf + 967 50.614 * * [simplify]: Extracting #8: cost 0 inf + 1185 50.614 * [simplify]: Simplified to (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 50.614 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (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)))) (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))))))) 50.614 * * * * [progress]: [ 206 / 253 ] simplifiying candidate # 50.614 * * * * [progress]: [ 207 / 253 ] simplifiying candidate # 50.615 * [simplify]: Simplifying (sqrt (+ (* 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)))))) 50.615 * * [simplify]: iters left: 6 (13 enodes) 50.622 * * [simplify]: iters left: 5 (47 enodes) 50.639 * * [simplify]: iters left: 4 (89 enodes) 50.674 * * [simplify]: iters left: 3 (163 enodes) 50.754 * * [simplify]: iters left: 2 (271 enodes) 50.866 * * [simplify]: iters left: 1 (389 enodes) 51.043 * * [simplify]: Extracting #0: cost 1 inf + 0 51.043 * * [simplify]: Extracting #1: cost 3 inf + 0 51.043 * * [simplify]: Extracting #2: cost 40 inf + 0 51.044 * * [simplify]: Extracting #3: cost 61 inf + 5 51.045 * * [simplify]: Extracting #4: cost 62 inf + 6 51.046 * * [simplify]: Extracting #5: cost 46 inf + 1959 51.052 * * [simplify]: Extracting #6: cost 11 inf + 9397 51.063 * * [simplify]: Extracting #7: cost 0 inf + 12119 51.072 * [simplify]: Simplified to (sqrt (- (+ (/ 1/2 (hypot 1 x)) 1/2) (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 51.072 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))) (sqrt (- (+ (/ 1/2 (hypot 1 x)) 1/2) (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))))) 51.073 * * * * [progress]: [ 208 / 253 ] simplifiying candidate # 51.073 * [simplify]: Simplifying (sqrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 51.073 * * [simplify]: iters left: 6 (9 enodes) 51.075 * * [simplify]: iters left: 5 (32 enodes) 51.080 * * [simplify]: iters left: 4 (37 enodes) 51.085 * * [simplify]: Extracting #0: cost 1 inf + 0 51.085 * * [simplify]: Extracting #1: cost 3 inf + 0 51.085 * * [simplify]: Extracting #2: cost 7 inf + 0 51.086 * * [simplify]: Extracting #3: cost 9 inf + 1 51.086 * * [simplify]: Extracting #4: cost 12 inf + 1 51.086 * * [simplify]: Extracting #5: cost 13 inf + 2 51.086 * * [simplify]: Extracting #6: cost 15 inf + 2 51.086 * * [simplify]: Extracting #7: cost 13 inf + 60 51.086 * * [simplify]: Extracting #8: cost 10 inf + 353 51.086 * * [simplify]: Extracting #9: cost 3 inf + 1599 51.086 * * [simplify]: Extracting #10: cost 0 inf + 2333 51.087 * [simplify]: Simplified to (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 51.087 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 51.087 * * * * [progress]: [ 209 / 253 ] simplifiying candidate # 51.087 * [simplify]: Simplifying (- (pow 1/2 3) (pow (/ 1/2 (hypot 1 x)) 3)) 51.087 * * [simplify]: iters left: 6 (9 enodes) 51.095 * * [simplify]: iters left: 5 (48 enodes) 51.114 * * [simplify]: iters left: 4 (103 enodes) 51.164 * * [simplify]: iters left: 3 (237 enodes) 51.243 * * [simplify]: iters left: 2 (445 enodes) 51.446 * * [simplify]: Extracting #0: cost 1 inf + 0 51.446 * * [simplify]: Extracting #1: cost 5 inf + 0 51.446 * * [simplify]: Extracting #2: cost 74 inf + 1 51.447 * * [simplify]: Extracting #3: cost 163 inf + 7 51.447 * * [simplify]: Extracting #4: cost 146 inf + 2712 51.451 * * [simplify]: Extracting #5: cost 54 inf + 30860 51.458 * * [simplify]: Extracting #6: cost 6 inf + 53616 51.466 * * [simplify]: Extracting #7: cost 0 inf + 57939 51.473 * [simplify]: Simplified to (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) 51.473 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 51.473 * * * * [progress]: [ 210 / 253 ] simplifiying candidate # 51.474 * [simplify]: Simplifying (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) 51.474 * * [simplify]: iters left: 6 (8 enodes) 51.479 * * [simplify]: iters left: 5 (37 enodes) 51.492 * * [simplify]: iters left: 4 (62 enodes) 51.513 * * [simplify]: iters left: 3 (105 enodes) 51.546 * * [simplify]: iters left: 2 (165 enodes) 51.596 * * [simplify]: iters left: 1 (279 enodes) 51.732 * * [simplify]: Extracting #0: cost 1 inf + 0 51.732 * * [simplify]: Extracting #1: cost 36 inf + 0 51.733 * * [simplify]: Extracting #2: cost 96 inf + 3 51.734 * * [simplify]: Extracting #3: cost 105 inf + 4 51.735 * * [simplify]: Extracting #4: cost 93 inf + 1243 51.743 * * [simplify]: Extracting #5: cost 20 inf + 14084 51.755 * * [simplify]: Extracting #6: cost 0 inf + 17769 51.767 * * [simplify]: Extracting #7: cost 0 inf + 17754 51.780 * [simplify]: Simplified to (- 1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) 51.780 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1/2 (/ 1/2 (hypot 1 x))))))) 51.780 * * * * [progress]: [ 211 / 253 ] simplifiying candidate #real (real->posit16 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))> 51.780 * * * * [progress]: [ 212 / 253 ] simplifiying candidate # 51.780 * * * * [progress]: [ 213 / 253 ] simplifiying candidate # 51.781 * * * * [progress]: [ 214 / 253 ] simplifiying candidate # 51.781 * * * * [progress]: [ 215 / 253 ] simplifiying candidate # 51.781 * [simplify]: Simplifying (- (log 1/2) (log (hypot 1 x))) 51.781 * * [simplify]: iters left: 4 (7 enodes) 51.785 * * [simplify]: iters left: 3 (25 enodes) 51.794 * * [simplify]: iters left: 2 (30 enodes) 51.804 * * [simplify]: Extracting #0: cost 1 inf + 0 51.804 * * [simplify]: Extracting #1: cost 5 inf + 0 51.804 * * [simplify]: Extracting #2: cost 10 inf + 0 51.804 * * [simplify]: Extracting #3: cost 12 inf + 1 51.804 * * [simplify]: Extracting #4: cost 8 inf + 145 51.804 * * [simplify]: Extracting #5: cost 5 inf + 496 51.805 * * [simplify]: Extracting #6: cost 1 inf + 1085 51.805 * * [simplify]: Extracting #7: cost 0 inf + 1323 51.806 * [simplify]: Simplified to (- (log 1/2) (log (hypot 1 x))) 51.806 * [simplify]: Simplified (2 2 2 1 2 1 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (exp (- (log 1/2) (log (hypot 1 x)))) 1/2))))))) 51.806 * * * * [progress]: [ 216 / 253 ] simplifiying candidate # 51.806 * * * * [progress]: [ 217 / 253 ] simplifiying candidate # 51.806 * * * * [progress]: [ 218 / 253 ] simplifiying candidate # 51.806 * [simplify]: Simplifying (/ (* (* 1/2 1/2) 1/2) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 51.806 * * [simplify]: iters left: 6 (9 enodes) 51.810 * * [simplify]: iters left: 5 (39 enodes) 51.818 * * [simplify]: iters left: 4 (84 enodes) 51.837 * * [simplify]: iters left: 3 (177 enodes) 51.893 * * [simplify]: iters left: 2 (274 enodes) 51.970 * * [simplify]: iters left: 1 (390 enodes) 52.097 * * [simplify]: Extracting #0: cost 1 inf + 0 52.097 * * [simplify]: Extracting #1: cost 52 inf + 0 52.098 * * [simplify]: Extracting #2: cost 110 inf + 3 52.099 * * [simplify]: Extracting #3: cost 98 inf + 1349 52.104 * * [simplify]: Extracting #4: cost 44 inf + 11555 52.112 * * [simplify]: Extracting #5: cost 7 inf + 27227 52.121 * * [simplify]: Extracting #6: cost 0 inf + 31060 52.129 * [simplify]: Simplified to (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))) 52.129 * [simplify]: Simplified (2 2 2 1 2 1 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (cbrt (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) 1/2))))))) 52.129 * * * * [progress]: [ 219 / 253 ] simplifiying candidate # 52.129 * * * * [progress]: [ 220 / 253 ] simplifiying candidate # 52.130 * * * * [progress]: [ 221 / 253 ] simplifiying candidate # 52.130 * * * * [progress]: [ 222 / 253 ] simplifiying candidate # 52.130 * * * * [progress]: [ 223 / 253 ] simplifiying candidate # 52.130 * [simplify]: Simplifying (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 52.130 * * [simplify]: iters left: 6 (9 enodes) 52.135 * * [simplify]: iters left: 5 (35 enodes) 52.147 * * [simplify]: iters left: 4 (52 enodes) 52.163 * * [simplify]: iters left: 3 (59 enodes) 52.180 * * [simplify]: iters left: 2 (62 enodes) 52.195 * * [simplify]: Extracting #0: cost 1 inf + 0 52.195 * * [simplify]: Extracting #1: cost 11 inf + 0 52.195 * * [simplify]: Extracting #2: cost 22 inf + 0 52.195 * * [simplify]: Extracting #3: cost 24 inf + 1 52.195 * * [simplify]: Extracting #4: cost 20 inf + 141 52.196 * * [simplify]: Extracting #5: cost 4 inf + 3413 52.196 * * [simplify]: Extracting #6: cost 0 inf + 4565 52.197 * [simplify]: Simplified to (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) 52.197 * [simplify]: Simplified (2 2 2 1 2 1 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) 1/2))))))) 52.197 * [simplify]: Simplifying (/ (cbrt 1/2) (cbrt (hypot 1 x))) 52.197 * * [simplify]: iters left: 4 (7 enodes) 52.199 * * [simplify]: iters left: 3 (23 enodes) 52.204 * * [simplify]: iters left: 2 (25 enodes) 52.208 * * [simplify]: Extracting #0: cost 1 inf + 0 52.208 * * [simplify]: Extracting #1: cost 4 inf + 0 52.208 * * [simplify]: Extracting #2: cost 8 inf + 0 52.208 * * [simplify]: Extracting #3: cost 10 inf + 1 52.208 * * [simplify]: Extracting #4: cost 6 inf + 165 52.208 * * [simplify]: Extracting #5: cost 2 inf + 674 52.208 * * [simplify]: Extracting #6: cost 0 inf + 1069 52.208 * [simplify]: Simplified to (/ (cbrt 1/2) (cbrt (hypot 1 x))) 52.208 * [simplify]: Simplified (2 2 2 1 2 1 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) 1/2))))))) 52.209 * * * * [progress]: [ 224 / 253 ] simplifiying candidate # 52.209 * [simplify]: Simplifying (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 52.209 * * [simplify]: iters left: 5 (8 enodes) 52.211 * * [simplify]: iters left: 4 (28 enodes) 52.219 * * [simplify]: iters left: 3 (34 enodes) 52.225 * * [simplify]: iters left: 2 (37 enodes) 52.235 * * [simplify]: Extracting #0: cost 1 inf + 0 52.236 * * [simplify]: Extracting #1: cost 7 inf + 0 52.236 * * [simplify]: Extracting #2: cost 14 inf + 0 52.236 * * [simplify]: Extracting #3: cost 16 inf + 1 52.236 * * [simplify]: Extracting #4: cost 12 inf + 141 52.236 * * [simplify]: Extracting #5: cost 1 inf + 1885 52.237 * * [simplify]: Extracting #6: cost 0 inf + 2103 52.237 * [simplify]: Simplified to (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2))) 52.237 * [simplify]: Simplified (2 2 2 1 2 1 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (* (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) 1/2))))))) 52.238 * [simplify]: Simplifying (/ (cbrt 1/2) (sqrt (hypot 1 x))) 52.238 * * [simplify]: iters left: 4 (7 enodes) 52.242 * * [simplify]: iters left: 3 (23 enodes) 52.250 * * [simplify]: iters left: 2 (25 enodes) 52.258 * * [simplify]: Extracting #0: cost 1 inf + 0 52.258 * * [simplify]: Extracting #1: cost 4 inf + 0 52.258 * * [simplify]: Extracting #2: cost 8 inf + 0 52.258 * * [simplify]: Extracting #3: cost 10 inf + 1 52.258 * * [simplify]: Extracting #4: cost 6 inf + 165 52.258 * * [simplify]: Extracting #5: cost 2 inf + 594 52.258 * * [simplify]: Extracting #6: cost 0 inf + 909 52.259 * [simplify]: Simplified to (/ (cbrt 1/2) (sqrt (hypot 1 x))) 52.259 * [simplify]: Simplified (2 2 2 1 2 1 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (* (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) 1/2))))))) 52.259 * * * * [progress]: [ 225 / 253 ] simplifiying candidate # 52.260 * [simplify]: Simplifying (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 52.260 * * [simplify]: iters left: 5 (5 enodes) 52.264 * * [simplify]: iters left: 4 (17 enodes) 52.270 * * [simplify]: iters left: 3 (27 enodes) 52.280 * * [simplify]: iters left: 2 (28 enodes) 52.289 * * [simplify]: Extracting #0: cost 1 inf + 0 52.289 * * [simplify]: Extracting #1: cost 5 inf + 0 52.289 * * [simplify]: Extracting #2: cost 7 inf + 1 52.289 * * [simplify]: Extracting #3: cost 6 inf + 2 52.289 * * [simplify]: Extracting #4: cost 1 inf + 528 52.289 * * [simplify]: Extracting #5: cost 0 inf + 650 52.289 * [simplify]: Simplified to (* (cbrt 1/2) (cbrt 1/2)) 52.290 * [simplify]: Simplified (2 2 2 1 2 1 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (* (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x))) 1/2))))))) 52.290 * [simplify]: Simplifying (/ (cbrt 1/2) (hypot 1 x)) 52.290 * * [simplify]: iters left: 3 (6 enodes) 52.294 * * [simplify]: iters left: 2 (20 enodes) 52.298 * * [simplify]: iters left: 1 (22 enodes) 52.302 * * [simplify]: Extracting #0: cost 1 inf + 0 52.302 * * [simplify]: Extracting #1: cost 4 inf + 0 52.302 * * [simplify]: Extracting #2: cost 9 inf + 0 52.302 * * [simplify]: Extracting #3: cost 6 inf + 3 52.302 * * [simplify]: Extracting #4: cost 1 inf + 457 52.302 * * [simplify]: Extracting #5: cost 0 inf + 635 52.302 * [simplify]: Simplified to (/ (cbrt 1/2) (hypot 1 x)) 52.302 * [simplify]: Simplified (2 2 2 1 2 1 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (* (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x))) 1/2))))))) 52.302 * * * * [progress]: [ 226 / 253 ] simplifiying candidate # 52.303 * [simplify]: Simplifying (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 52.303 * * [simplify]: iters left: 6 (8 enodes) 52.305 * * [simplify]: iters left: 5 (28 enodes) 52.310 * * [simplify]: iters left: 4 (32 enodes) 52.314 * * [simplify]: Extracting #0: cost 1 inf + 0 52.314 * * [simplify]: Extracting #1: cost 6 inf + 0 52.314 * * [simplify]: Extracting #2: cost 12 inf + 0 52.314 * * [simplify]: Extracting #3: cost 14 inf + 1 52.314 * * [simplify]: Extracting #4: cost 11 inf + 44 52.314 * * [simplify]: Extracting #5: cost 7 inf + 336 52.315 * * [simplify]: Extracting #6: cost 0 inf + 1779 52.315 * [simplify]: Simplified to (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) 52.315 * [simplify]: Simplified (2 2 2 1 2 1 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x)))) 1/2))))))) 52.315 * [simplify]: Simplifying (/ (sqrt 1/2) (cbrt (hypot 1 x))) 52.315 * * [simplify]: iters left: 4 (7 enodes) 52.317 * * [simplify]: iters left: 3 (23 enodes) 52.321 * * [simplify]: iters left: 2 (25 enodes) 52.325 * * [simplify]: Extracting #0: cost 1 inf + 0 52.325 * * [simplify]: Extracting #1: cost 4 inf + 0 52.325 * * [simplify]: Extracting #2: cost 8 inf + 0 52.325 * * [simplify]: Extracting #3: cost 10 inf + 1 52.325 * * [simplify]: Extracting #4: cost 6 inf + 85 52.325 * * [simplify]: Extracting #5: cost 2 inf + 554 52.325 * * [simplify]: Extracting #6: cost 0 inf + 909 52.325 * [simplify]: Simplified to (/ (sqrt 1/2) (cbrt (hypot 1 x))) 52.325 * [simplify]: Simplified (2 2 2 1 2 1 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x)))) 1/2))))))) 52.325 * * * * [progress]: [ 227 / 253 ] simplifiying candidate # 52.326 * [simplify]: Simplifying (/ (sqrt 1/2) (sqrt (hypot 1 x))) 52.326 * * [simplify]: iters left: 4 (7 enodes) 52.330 * * [simplify]: iters left: 3 (23 enodes) 52.337 * * [simplify]: iters left: 2 (25 enodes) 52.345 * * [simplify]: Extracting #0: cost 1 inf + 0 52.345 * * [simplify]: Extracting #1: cost 4 inf + 0 52.345 * * [simplify]: Extracting #2: cost 8 inf + 0 52.345 * * [simplify]: Extracting #3: cost 10 inf + 1 52.345 * * [simplify]: Extracting #4: cost 6 inf + 85 52.345 * * [simplify]: Extracting #5: cost 2 inf + 474 52.346 * * [simplify]: Extracting #6: cost 0 inf + 749 52.346 * [simplify]: Simplified to (/ (sqrt 1/2) (sqrt (hypot 1 x))) 52.346 * [simplify]: Simplified (2 2 2 1 2 1 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 1/2))))))) 52.347 * [simplify]: Simplifying (/ (sqrt 1/2) (sqrt (hypot 1 x))) 52.347 * * [simplify]: iters left: 4 (7 enodes) 52.351 * * [simplify]: iters left: 3 (23 enodes) 52.359 * * [simplify]: iters left: 2 (25 enodes) 52.368 * * [simplify]: Extracting #0: cost 1 inf + 0 52.368 * * [simplify]: Extracting #1: cost 4 inf + 0 52.368 * * [simplify]: Extracting #2: cost 8 inf + 0 52.368 * * [simplify]: Extracting #3: cost 10 inf + 1 52.368 * * [simplify]: Extracting #4: cost 6 inf + 85 52.368 * * [simplify]: Extracting #5: cost 2 inf + 474 52.368 * * [simplify]: Extracting #6: cost 0 inf + 749 52.369 * [simplify]: Simplified to (/ (sqrt 1/2) (sqrt (hypot 1 x))) 52.369 * [simplify]: Simplified (2 2 2 1 2 1 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 1/2))))))) 52.369 * * * * [progress]: [ 228 / 253 ] simplifiying candidate # 52.369 * [simplify]: Simplifying (/ (sqrt 1/2) 1) 52.369 * * [simplify]: iters left: 3 (4 enodes) 52.372 * * [simplify]: iters left: 2 (12 enodes) 52.377 * * [simplify]: iters left: 1 (14 enodes) 52.382 * * [simplify]: Extracting #0: cost 1 inf + 0 52.382 * * [simplify]: Extracting #1: cost 4 inf + 0 52.382 * * [simplify]: Extracting #2: cost 0 inf + 84 52.382 * [simplify]: Simplified to (sqrt 1/2) 52.382 * [simplify]: Simplified (2 2 2 1 2 1 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (* (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x))) 1/2))))))) 52.383 * [simplify]: Simplifying (/ (sqrt 1/2) (hypot 1 x)) 52.383 * * [simplify]: iters left: 3 (6 enodes) 52.387 * * [simplify]: iters left: 2 (20 enodes) 52.394 * * [simplify]: iters left: 1 (22 enodes) 52.402 * * [simplify]: Extracting #0: cost 1 inf + 0 52.402 * * [simplify]: Extracting #1: cost 4 inf + 0 52.402 * * [simplify]: Extracting #2: cost 9 inf + 0 52.402 * * [simplify]: Extracting #3: cost 6 inf + 3 52.402 * * [simplify]: Extracting #4: cost 1 inf + 337 52.402 * * [simplify]: Extracting #5: cost 0 inf + 475 52.402 * [simplify]: Simplified to (/ (sqrt 1/2) (hypot 1 x)) 52.402 * [simplify]: Simplified (2 2 2 1 2 1 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (* (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x))) 1/2))))))) 52.403 * * * * [progress]: [ 229 / 253 ] simplifiying candidate # 52.403 * [simplify]: Simplifying (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 52.403 * * [simplify]: iters left: 6 (6 enodes) 52.406 * * [simplify]: iters left: 5 (22 enodes) 52.413 * * [simplify]: iters left: 4 (26 enodes) 52.421 * * [simplify]: Extracting #0: cost 1 inf + 0 52.421 * * [simplify]: Extracting #1: cost 6 inf + 0 52.421 * * [simplify]: Extracting #2: cost 9 inf + 1 52.422 * * [simplify]: Extracting #3: cost 11 inf + 1 52.422 * * [simplify]: Extracting #4: cost 8 inf + 116 52.422 * * [simplify]: Extracting #5: cost 2 inf + 1138 52.422 * * [simplify]: Extracting #6: cost 0 inf + 1532 52.423 * [simplify]: Simplified to (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 52.423 * [simplify]: Simplified (2 2 2 1 2 1 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (* (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x)))) 1/2))))))) 52.423 * [simplify]: Simplifying (/ 1/2 (cbrt (hypot 1 x))) 52.423 * * [simplify]: iters left: 4 (6 enodes) 52.427 * * [simplify]: iters left: 3 (20 enodes) 52.433 * * [simplify]: iters left: 2 (22 enodes) 52.440 * * [simplify]: Extracting #0: cost 1 inf + 0 52.440 * * [simplify]: Extracting #1: cost 4 inf + 0 52.440 * * [simplify]: Extracting #2: cost 5 inf + 1 52.440 * * [simplify]: Extracting #3: cost 8 inf + 1 52.440 * * [simplify]: Extracting #4: cost 6 inf + 3 52.440 * * [simplify]: Extracting #5: cost 1 inf + 569 52.440 * * [simplify]: Extracting #6: cost 0 inf + 747 52.440 * [simplify]: Simplified to (/ 1/2 (cbrt (hypot 1 x))) 52.440 * [simplify]: Simplified (2 2 2 1 2 1 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (* (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x)))) 1/2))))))) 52.441 * * * * [progress]: [ 230 / 253 ] simplifiying candidate # 52.441 * [simplify]: Simplifying (/ 1 (sqrt (hypot 1 x))) 52.441 * * [simplify]: iters left: 4 (5 enodes) 52.444 * * [simplify]: iters left: 3 (17 enodes) 52.449 * * [simplify]: iters left: 2 (19 enodes) 52.455 * * [simplify]: Extracting #0: cost 1 inf + 0 52.455 * * [simplify]: Extracting #1: cost 4 inf + 0 52.455 * * [simplify]: Extracting #2: cost 5 inf + 1 52.455 * * [simplify]: Extracting #3: cost 7 inf + 1 52.455 * * [simplify]: Extracting #4: cost 0 inf + 584 52.455 * [simplify]: Simplified to (/ 1 (sqrt (hypot 1 x))) 52.455 * [simplify]: Simplified (2 2 2 1 2 1 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (* (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x)))) 1/2))))))) 52.456 * [simplify]: Simplifying (/ 1/2 (sqrt (hypot 1 x))) 52.456 * * [simplify]: iters left: 4 (6 enodes) 52.459 * * [simplify]: iters left: 3 (20 enodes) 52.466 * * [simplify]: iters left: 2 (22 enodes) 52.473 * * [simplify]: Extracting #0: cost 1 inf + 0 52.473 * * [simplify]: Extracting #1: cost 4 inf + 0 52.473 * * [simplify]: Extracting #2: cost 5 inf + 1 52.473 * * [simplify]: Extracting #3: cost 8 inf + 1 52.473 * * [simplify]: Extracting #4: cost 6 inf + 3 52.474 * * [simplify]: Extracting #5: cost 1 inf + 449 52.474 * * [simplify]: Extracting #6: cost 0 inf + 587 52.474 * [simplify]: Simplified to (/ 1/2 (sqrt (hypot 1 x))) 52.474 * [simplify]: Simplified (2 2 2 1 2 1 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (* (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x)))) 1/2))))))) 52.474 * * * * [progress]: [ 231 / 253 ] simplifiying candidate # 52.475 * [simplify]: Simplifying (/ 1 1) 52.475 * * [simplify]: iters left: 2 (2 enodes) 52.476 * * [simplify]: iters left: 1 (6 enodes) 52.478 * * [simplify]: Extracting #0: cost 1 inf + 0 52.478 * * [simplify]: Extracting #1: cost 0 inf + 1 52.478 * [simplify]: Simplified to 1 52.479 * [simplify]: Simplified (2 2 2 1 2 1 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (* 1 (/ 1/2 (hypot 1 x))) 1/2))))))) 52.479 * [simplify]: Simplifying (/ 1/2 (hypot 1 x)) 52.479 * * [simplify]: iters left: 3 (5 enodes) 52.482 * * [simplify]: iters left: 2 (17 enodes) 52.490 * * [simplify]: iters left: 1 (19 enodes) 52.496 * * [simplify]: Extracting #0: cost 1 inf + 0 52.496 * * [simplify]: Extracting #1: cost 4 inf + 0 52.497 * * [simplify]: Extracting #2: cost 6 inf + 1 52.497 * * [simplify]: Extracting #3: cost 0 inf + 313 52.497 * [simplify]: Simplified to (/ 1/2 (hypot 1 x)) 52.497 * [simplify]: Simplified (2 2 2 1 2 1 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (* 1 (/ 1/2 (hypot 1 x))) 1/2))))))) 52.497 * * * * [progress]: [ 232 / 253 ] simplifiying candidate # 52.497 * * * * [progress]: [ 233 / 253 ] simplifiying candidate # 52.497 * * * * [progress]: [ 234 / 253 ] simplifiying candidate # 52.498 * * * * [progress]: [ 235 / 253 ] simplifiying candidate # 52.498 * [simplify]: Simplifying (cbrt (hypot 1 x)) 52.498 * * [simplify]: iters left: 2 (4 enodes) 52.500 * * [simplify]: iters left: 1 (14 enodes) 52.504 * * [simplify]: Extracting #0: cost 1 inf + 0 52.504 * * [simplify]: Extracting #1: cost 3 inf + 0 52.504 * * [simplify]: Extracting #2: cost 6 inf + 0 52.505 * * [simplify]: Extracting #3: cost 2 inf + 116 52.505 * * [simplify]: Extracting #4: cost 1 inf + 253 52.505 * * [simplify]: Extracting #5: cost 0 inf + 390 52.505 * [simplify]: Simplified to (cbrt (hypot 1 x)) 52.505 * [simplify]: Simplified (2 2 2 1 2 1 1 2) to (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 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))) 1/2))))))) 52.505 * * * * [progress]: [ 236 / 253 ] simplifiying candidate # 52.506 * [simplify]: Simplifying (sqrt (hypot 1 x)) 52.506 * * [simplify]: iters left: 2 (4 enodes) 52.508 * * [simplify]: iters left: 1 (14 enodes) 52.513 * * [simplify]: Extracting #0: cost 1 inf + 0 52.513 * * [simplify]: Extracting #1: cost 3 inf + 0 52.513 * * [simplify]: Extracting #2: cost 6 inf + 0 52.513 * * [simplify]: Extracting #3: cost 2 inf + 116 52.513 * * [simplify]: Extracting #4: cost 1 inf + 213 52.513 * * [simplify]: Extracting #5: cost 0 inf + 310 52.513 * [simplify]: Simplified to (sqrt (hypot 1 x)) 52.513 * [simplify]: Simplified (2 2 2 1 2 1 1 2) to (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 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) 1/2))))))) 52.514 * * * * [progress]: [ 237 / 253 ] simplifiying candidate # 52.514 * [simplify]: Simplifying (hypot 1 x) 52.514 * * [simplify]: iters left: 1 (3 enodes) 52.516 * * [simplify]: Extracting #0: cost 1 inf + 0 52.517 * * [simplify]: Extracting #1: cost 4 inf + 0 52.517 * * [simplify]: Extracting #2: cost 2 inf + 2 52.517 * * [simplify]: Extracting #3: cost 0 inf + 116 52.517 * [simplify]: Simplified to (hypot 1 x) 52.517 * [simplify]: Simplified (2 2 2 1 2 1 1 2) to (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 1) (hypot 1 x)) 1/2))))))) 52.517 * * * * [progress]: [ 238 / 253 ] simplifiying candidate # 52.517 * [simplify]: Simplifying (* (cbrt 1/2) (cbrt 1/2)) 52.518 * * [simplify]: iters left: 3 (3 enodes) 52.520 * * [simplify]: iters left: 2 (9 enodes) 52.523 * * [simplify]: Extracting #0: cost 1 inf + 0 52.523 * * [simplify]: Extracting #1: cost 3 inf + 0 52.524 * * [simplify]: Extracting #2: cost 5 inf + 0 52.524 * * [simplify]: Extracting #3: cost 4 inf + 1 52.524 * * [simplify]: Extracting #4: cost 0 inf + 405 52.524 * [simplify]: Simplified to (* (cbrt 1/2) (cbrt 1/2)) 52.524 * [simplify]: Simplified (2 2 2 1 2 1 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (hypot 1 x) (cbrt 1/2))) 1/2))))))) 52.524 * * * * [progress]: [ 239 / 253 ] simplifiying candidate # 52.524 * [simplify]: Simplifying (sqrt 1/2) 52.524 * * [simplify]: iters left: 1 (2 enodes) 52.526 * * [simplify]: Extracting #0: cost 1 inf + 0 52.526 * * [simplify]: Extracting #1: cost 3 inf + 0 52.526 * * [simplify]: Extracting #2: cost 2 inf + 1 52.526 * * [simplify]: Extracting #3: cost 0 inf + 83 52.526 * [simplify]: Simplified to (sqrt 1/2) 52.526 * [simplify]: Simplified (2 2 2 1 2 1 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ (sqrt 1/2) (/ (hypot 1 x) (sqrt 1/2))) 1/2))))))) 52.526 * * * * [progress]: [ 240 / 253 ] simplifiying candidate # 52.527 * * * * [progress]: [ 241 / 253 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x)))) 1/2)))))))> 52.527 * * * * [progress]: [ 242 / 253 ] simplifiying candidate # 52.527 * [simplify]: Simplifying (- (+ (* 1/64 (/ (pow x 2) (sqrt 1/2))) (sqrt 1/2)) (+ (* 5/512 (/ (pow x 4) (sqrt 1/2))) (* 1/8192 (/ (pow x 4) (pow (sqrt 1/2) 3))))) 52.527 * * [simplify]: iters left: 6 (21 enodes) 52.541 * * [simplify]: iters left: 5 (97 enodes) 52.578 * * [simplify]: iters left: 4 (193 enodes) 52.660 * * [simplify]: iters left: 3 (449 enodes) 52.858 * * [simplify]: Extracting #0: cost 1 inf + 0 52.858 * * [simplify]: Extracting #1: cost 48 inf + 0 52.859 * * [simplify]: Extracting #2: cost 232 inf + 5 52.862 * * [simplify]: Extracting #3: cost 263 inf + 9841 52.873 * * [simplify]: Extracting #4: cost 122 inf + 37079 52.887 * * [simplify]: Extracting #5: cost 18 inf + 75887 52.907 * * [simplify]: Extracting #6: cost 0 inf + 86200 52.924 * * [simplify]: Extracting #7: cost 0 inf + 86120 52.942 * [simplify]: Simplified to (- (fma (/ (* x x) (sqrt 1/2)) 1/64 (sqrt 1/2)) (* (* (* x x) (/ (* x x) (sqrt 1/2))) 41/4096)) 52.942 * [simplify]: Simplified (2 1) to (λ (x) (* (- (fma (/ (* x x) (sqrt 1/2)) 1/64 (sqrt 1/2)) (* (* (* x x) (/ (* x x) (sqrt 1/2))) 41/4096)) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 52.942 * * * * [progress]: [ 243 / 253 ] simplifiying candidate # 52.942 * [simplify]: Simplifying (- (+ (* 3/128 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 5))))) (+ (* 1/64 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) (* 1/8 (* (/ 1 (* x (sqrt 1/2))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3)))))) 52.942 * * [simplify]: iters left: 6 (37 enodes) 52.955 * * [simplify]: iters left: 5 (171 enodes) 53.007 * * [simplify]: iters left: 4 (398 enodes) 53.168 * * [simplify]: Extracting #0: cost 1 inf + 0 53.168 * * [simplify]: Extracting #1: cost 40 inf + 0 53.169 * * [simplify]: Extracting #2: cost 172 inf + 3 53.172 * * [simplify]: Extracting #3: cost 270 inf + 626 53.176 * * [simplify]: Extracting #4: cost 231 inf + 8544 53.185 * * [simplify]: Extracting #5: cost 166 inf + 24893 53.220 * * [simplify]: Extracting #6: cost 43 inf + 76629 53.267 * * [simplify]: Extracting #7: cost 4 inf + 94383 53.297 * * [simplify]: Extracting #8: cost 0 inf + 96425 53.342 * [simplify]: Simplified to (fma (/ -1/8 (* (sqrt 1/2) x)) (sqrt (/ (/ (/ 1 (+ 1 (sqrt 1/2))) (+ 1 (sqrt 1/2))) (+ 1 (sqrt 1/2)))) (+ (fma (sqrt (/ (/ (/ 1 (+ 1 (sqrt 1/2))) (+ 1 (sqrt 1/2))) (+ 1 (sqrt 1/2)))) (/ (/ (/ 1/64 (* x x)) (sqrt 1/2)) 1/2) (* 3/64 (/ (sqrt (/ 1 (pow (+ 1 (sqrt 1/2)) 5))) (* x x)))) (sqrt (/ 1 (+ 1 (sqrt 1/2)))))) 53.342 * [simplify]: Simplified (2 1) to (λ (x) (* (fma (/ -1/8 (* (sqrt 1/2) x)) (sqrt (/ (/ (/ 1 (+ 1 (sqrt 1/2))) (+ 1 (sqrt 1/2))) (+ 1 (sqrt 1/2)))) (+ (fma (sqrt (/ (/ (/ 1 (+ 1 (sqrt 1/2))) (+ 1 (sqrt 1/2))) (+ 1 (sqrt 1/2)))) (/ (/ (/ 1/64 (* x x)) (sqrt 1/2)) 1/2) (* 3/64 (/ (sqrt (/ 1 (pow (+ 1 (sqrt 1/2)) 5))) (* x x)))) (sqrt (/ 1 (+ 1 (sqrt 1/2)))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 53.343 * * * * [progress]: [ 244 / 253 ] simplifiying candidate # 53.343 * [simplify]: Simplifying (+ (* 3/128 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 5))))) (+ (* 1/64 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))))) (+ (sqrt (/ 1 (+ (sqrt 1/2) 1))) (* 1/8 (* (/ 1 (* x (sqrt 1/2))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3)))))))) 53.343 * * [simplify]: iters left: 6 (37 enodes) 53.355 * * [simplify]: iters left: 5 (170 enodes) 53.401 * * [simplify]: iters left: 4 (386 enodes) 53.552 * * [simplify]: Extracting #0: cost 1 inf + 0 53.552 * * [simplify]: Extracting #1: cost 28 inf + 0 53.552 * * [simplify]: Extracting #2: cost 169 inf + 2 53.554 * * [simplify]: Extracting #3: cost 245 inf + 833 53.556 * * [simplify]: Extracting #4: cost 209 inf + 8991 53.565 * * [simplify]: Extracting #5: cost 114 inf + 40925 53.587 * * [simplify]: Extracting #6: cost 41 inf + 67651 53.623 * * [simplify]: Extracting #7: cost 3 inf + 86913 53.656 * * [simplify]: Extracting #8: cost 0 inf + 88806 53.689 * * [simplify]: Extracting #9: cost 0 inf + 88725 53.725 * [simplify]: Simplified to (fma (sqrt (/ (/ 1 (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2)))) (+ 1 (sqrt 1/2)))) (/ (/ (/ 1/64 (* x x)) 1/2) (sqrt 1/2)) (+ (* 3/64 (/ (sqrt (/ 1 (pow (+ 1 (sqrt 1/2)) 5))) (* x x))) (fma (/ 1/8 (* (sqrt 1/2) x)) (sqrt (/ (/ 1 (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2)))) (+ 1 (sqrt 1/2)))) (sqrt (/ 1 (+ 1 (sqrt 1/2))))))) 53.726 * [simplify]: Simplified (2 1) to (λ (x) (* (fma (sqrt (/ (/ 1 (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2)))) (+ 1 (sqrt 1/2)))) (/ (/ (/ 1/64 (* x x)) 1/2) (sqrt 1/2)) (+ (* 3/64 (/ (sqrt (/ 1 (pow (+ 1 (sqrt 1/2)) 5))) (* x x))) (fma (/ 1/8 (* (sqrt 1/2) x)) (sqrt (/ (/ 1 (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2)))) (+ 1 (sqrt 1/2)))) (sqrt (/ 1 (+ 1 (sqrt 1/2))))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 53.726 * * * * [progress]: [ 245 / 253 ] simplifiying candidate # 53.726 * [simplify]: Simplifying (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))) 53.727 * * [simplify]: iters left: 6 (15 enodes) 53.738 * * [simplify]: iters left: 5 (66 enodes) 53.756 * * [simplify]: iters left: 4 (120 enodes) 53.790 * * [simplify]: iters left: 3 (211 enodes) 53.844 * * [simplify]: iters left: 2 (372 enodes) 53.985 * * [simplify]: Extracting #0: cost 1 inf + 0 53.985 * * [simplify]: Extracting #1: cost 35 inf + 0 53.986 * * [simplify]: Extracting #2: cost 123 inf + 5 53.987 * * [simplify]: Extracting #3: cost 106 inf + 3837 53.991 * * [simplify]: Extracting #4: cost 22 inf + 21345 53.997 * * [simplify]: Extracting #5: cost 1 inf + 27276 54.003 * * [simplify]: Extracting #6: cost 0 inf + 27539 54.013 * [simplify]: Simplified to (fma (* x x) (fma 5/32 (* (* x x) (* x x)) 1/4) (* (* (* x x) (* x x)) -3/16)) 54.013 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (fma (* x x) (fma 5/32 (* (* x x) (* x x)) 1/4) (* (* (* x x) (* x x)) -3/16)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 54.013 * * * * [progress]: [ 246 / 253 ] simplifiying candidate # 54.014 * [simplify]: Simplifying (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) 54.014 * * [simplify]: iters left: 6 (12 enodes) 54.023 * * [simplify]: iters left: 5 (58 enodes) 54.046 * * [simplify]: iters left: 4 (109 enodes) 54.088 * * [simplify]: iters left: 3 (172 enodes) 54.140 * * [simplify]: iters left: 2 (270 enodes) 54.203 * * [simplify]: iters left: 1 (499 enodes) 54.452 * * [simplify]: Extracting #0: cost 1 inf + 0 54.452 * * [simplify]: Extracting #1: cost 35 inf + 0 54.453 * * [simplify]: Extracting #2: cost 194 inf + 3 54.456 * * [simplify]: Extracting #3: cost 274 inf + 832 54.461 * * [simplify]: Extracting #4: cost 221 inf + 8246 54.473 * * [simplify]: Extracting #5: cost 126 inf + 51172 54.491 * * [simplify]: Extracting #6: cost 9 inf + 120729 54.507 * * [simplify]: Extracting #7: cost 0 inf + 124444 54.520 * [simplify]: Simplified to (- (- 1/2 (/ (/ -1/4 x) (* x x))) (/ 1/2 x)) 54.520 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- (- 1/2 (/ (/ -1/4 x) (* x x))) (/ 1/2 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 54.521 * * * * [progress]: [ 247 / 253 ] simplifiying candidate # 54.521 * [simplify]: Simplifying (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) 54.521 * * [simplify]: iters left: 6 (12 enodes) 54.528 * * [simplify]: iters left: 5 (58 enodes) 54.551 * * [simplify]: iters left: 4 (111 enodes) 54.573 * * [simplify]: iters left: 3 (183 enodes) 54.617 * * [simplify]: iters left: 2 (291 enodes) 54.712 * * [simplify]: Extracting #0: cost 1 inf + 0 54.712 * * [simplify]: Extracting #1: cost 19 inf + 0 54.713 * * [simplify]: Extracting #2: cost 65 inf + 3 54.713 * * [simplify]: Extracting #3: cost 112 inf + 541 54.716 * * [simplify]: Extracting #4: cost 72 inf + 6696 54.723 * * [simplify]: Extracting #5: cost 28 inf + 23187 54.726 * * [simplify]: Extracting #6: cost 2 inf + 33919 54.730 * * [simplify]: Extracting #7: cost 0 inf + 34805 54.734 * [simplify]: Simplified to (- (+ 1/2 (/ 1/2 x)) (/ 1/4 (* x (* x x)))) 54.735 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- (+ 1/2 (/ 1/2 x)) (/ 1/4 (* x (* x x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 54.735 * * * * [progress]: [ 248 / 253 ] simplifiying candidate # 54.735 * [simplify]: Simplifying (- (+ (* 5/32 (* (pow x 6) (sqrt 1/2))) (+ (* 1/256 (/ (pow x 4) (sqrt 1/2))) (* 1/4 (* (pow x 2) (sqrt 1/2))))) (+ (* 1/32768 (/ (pow x 6) (pow (sqrt 1/2) 3))) (+ (* 3/16 (* (pow x 4) (sqrt 1/2))) (* 11/2048 (/ (pow x 6) (sqrt 1/2)))))) 54.735 * * [simplify]: iters left: 6 (34 enodes) 54.753 * * [simplify]: iters left: 5 (159 enodes) 54.794 * * [simplify]: iters left: 4 (362 enodes) 54.972 * * [simplify]: Extracting #0: cost 1 inf + 0 54.973 * * [simplify]: Extracting #1: cost 55 inf + 0 54.974 * * [simplify]: Extracting #2: cost 227 inf + 1 54.977 * * [simplify]: Extracting #3: cost 291 inf + 5070 54.987 * * [simplify]: Extracting #4: cost 173 inf + 30900 55.007 * * [simplify]: Extracting #5: cost 51 inf + 80507 55.048 * * [simplify]: Extracting #6: cost 0 inf + 97503 55.101 * * [simplify]: Extracting #7: cost 0 inf + 94369 55.128 * * [simplify]: Extracting #8: cost 0 inf + 93934 55.162 * [simplify]: Simplified to (- (fma (* (sqrt 1/2) 5/32) (* (* (* x x) (* x x)) (* x x)) (fma 1/4 (* (* x x) (sqrt 1/2)) (* (/ 1/256 (sqrt 1/2)) (* (* x x) (* x x))))) (fma 1/16384 (/ (* (* (* x x) (* x x)) (* x x)) (sqrt 1/2)) (fma 11/2048 (/ (* (* (* x x) (* x x)) (* x x)) (sqrt 1/2)) (* (* (* x x) (* x x)) (* (sqrt 1/2) 3/16))))) 55.162 * [simplify]: Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (fma (* (sqrt 1/2) 5/32) (* (* (* x x) (* x x)) (* x x)) (fma 1/4 (* (* x x) (sqrt 1/2)) (* (/ 1/256 (sqrt 1/2)) (* (* x x) (* x x))))) (fma 1/16384 (/ (* (* (* x x) (* x x)) (* x x)) (sqrt 1/2)) (fma 11/2048 (/ (* (* (* x x) (* x x)) (* x x)) (sqrt 1/2)) (* (* (* x x) (* x x)) (* (sqrt 1/2) 3/16))))))) 55.163 * * * * [progress]: [ 249 / 253 ] simplifiying candidate # 55.163 * [simplify]: Simplifying (- (+ (* 3/256 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 5))))) (+ (* 1/16 (* (/ 1 (* (pow x 2) (sqrt 1/2))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))))) (+ (* 1/128 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))))) (* 1/2 (sqrt (/ 1 (+ (sqrt 1/2) 1))))))) (+ (* 1/16 (* (/ 1 (* x (sqrt 1/2))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))))) (* 1/2 (* (/ 1 x) (sqrt (/ 1 (+ (sqrt 1/2) 1))))))) 55.163 * * [simplify]: iters left: 6 (47 enodes) 55.182 * * [simplify]: iters left: 5 (222 enodes) 55.240 * * [simplify]: Extracting #0: cost 1 inf + 0 55.240 * * [simplify]: Extracting #1: cost 22 inf + 0 55.240 * * [simplify]: Extracting #2: cost 87 inf + 1 55.241 * * [simplify]: Extracting #3: cost 138 inf + 48 55.242 * * [simplify]: Extracting #4: cost 162 inf + 669 55.243 * * [simplify]: Extracting #5: cost 124 inf + 13104 55.247 * * [simplify]: Extracting #6: cost 85 inf + 20870 55.257 * * [simplify]: Extracting #7: cost 25 inf + 47479 55.287 * * [simplify]: Extracting #8: cost 1 inf + 66025 55.306 * * [simplify]: Extracting #9: cost 0 inf + 67382 55.329 * [simplify]: Simplified to (- (fma (/ (sqrt (/ 1 (pow (+ 1 (sqrt 1/2)) 5))) (* (* x x) 1/2)) 3/256 (fma (/ 1/16 (* (sqrt 1/2) (* x x))) (sqrt (/ (/ 1 (+ 1 (sqrt 1/2))) (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2))))) (fma 1/2 (sqrt (/ 1 (+ 1 (sqrt 1/2)))) (* (sqrt (/ (/ 1 (+ 1 (sqrt 1/2))) (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2))))) (/ 1/128 (* (* 1/2 (sqrt 1/2)) (* x x))))))) (fma (/ (sqrt (/ 1 (+ 1 (sqrt 1/2)))) x) 1/2 (* 1/16 (/ (sqrt (/ (/ 1 (+ 1 (sqrt 1/2))) (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) x))))) 55.329 * [simplify]: Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (fma (/ (sqrt (/ 1 (pow (+ 1 (sqrt 1/2)) 5))) (* (* x x) 1/2)) 3/256 (fma (/ 1/16 (* (sqrt 1/2) (* x x))) (sqrt (/ (/ 1 (+ 1 (sqrt 1/2))) (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2))))) (fma 1/2 (sqrt (/ 1 (+ 1 (sqrt 1/2)))) (* (sqrt (/ (/ 1 (+ 1 (sqrt 1/2))) (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2))))) (/ 1/128 (* (* 1/2 (sqrt 1/2)) (* x x))))))) (fma (/ (sqrt (/ 1 (+ 1 (sqrt 1/2)))) x) 1/2 (* 1/16 (/ (sqrt (/ (/ 1 (+ 1 (sqrt 1/2))) (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) x))))))) 55.330 * * * * [progress]: [ 250 / 253 ] simplifiying candidate # 55.330 * [simplify]: Simplifying (+ (* 3/256 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 5))))) (+ (* 1/16 (* (/ 1 (* (pow x 2) (sqrt 1/2))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))))) (+ (* 1/128 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))))) (+ (* 1/2 (sqrt (/ 1 (+ (sqrt 1/2) 1)))) (+ (* 1/16 (* (/ 1 (* x (sqrt 1/2))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))))) (* 1/2 (* (/ 1 x) (sqrt (/ 1 (+ (sqrt 1/2) 1)))))))))) 55.331 * * [simplify]: iters left: 6 (47 enodes) 55.358 * * [simplify]: iters left: 5 (222 enodes) 55.421 * * [simplify]: Extracting #0: cost 1 inf + 0 55.421 * * [simplify]: Extracting #1: cost 22 inf + 0 55.422 * * [simplify]: Extracting #2: cost 94 inf + 1 55.424 * * [simplify]: Extracting #3: cost 155 inf + 6 55.425 * * [simplify]: Extracting #4: cost 170 inf + 461 55.427 * * [simplify]: Extracting #5: cost 135 inf + 9502 55.436 * * [simplify]: Extracting #6: cost 30 inf + 45946 55.451 * * [simplify]: Extracting #7: cost 3 inf + 63429 55.474 * * [simplify]: Extracting #8: cost 0 inf + 66693 55.496 * [simplify]: Simplified to (fma (/ (sqrt (/ 1 (pow (+ 1 (sqrt 1/2)) 5))) (* (* x x) 1/2)) 3/256 (fma (/ (sqrt (/ 1 (* (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2))) (+ 1 (sqrt 1/2))))) (* (* (sqrt 1/2) x) x)) 1/16 (fma (/ (sqrt (/ 1 (* (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2))) (+ 1 (sqrt 1/2))))) (* (* 1/2 (sqrt 1/2)) (* x x))) 1/128 (fma 1/2 (sqrt (/ 1 (+ 1 (sqrt 1/2)))) (fma (/ 1/2 x) (sqrt (/ 1 (+ 1 (sqrt 1/2)))) (* (sqrt (/ 1 (* (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2))) (+ 1 (sqrt 1/2))))) (/ 1/16 (* (sqrt 1/2) x)))))))) 55.496 * [simplify]: Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (/ (sqrt (/ 1 (pow (+ 1 (sqrt 1/2)) 5))) (* (* x x) 1/2)) 3/256 (fma (/ (sqrt (/ 1 (* (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2))) (+ 1 (sqrt 1/2))))) (* (* (sqrt 1/2) x) x)) 1/16 (fma (/ (sqrt (/ 1 (* (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2))) (+ 1 (sqrt 1/2))))) (* (* 1/2 (sqrt 1/2)) (* x x))) 1/128 (fma 1/2 (sqrt (/ 1 (+ 1 (sqrt 1/2)))) (fma (/ 1/2 x) (sqrt (/ 1 (+ 1 (sqrt 1/2)))) (* (sqrt (/ 1 (* (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2))) (+ 1 (sqrt 1/2))))) (/ 1/16 (* (sqrt 1/2) x)))))))))) 55.497 * * * * [progress]: [ 251 / 253 ] simplifiying candidate # 55.497 * [simplify]: Simplifying (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) 55.497 * * [simplify]: iters left: 6 (12 enodes) 55.502 * * [simplify]: iters left: 5 (52 enodes) 55.511 * * [simplify]: iters left: 4 (84 enodes) 55.527 * * [simplify]: iters left: 3 (120 enodes) 55.563 * * [simplify]: iters left: 2 (156 enodes) 55.591 * * [simplify]: iters left: 1 (171 enodes) 55.619 * * [simplify]: Extracting #0: cost 1 inf + 0 55.620 * * [simplify]: Extracting #1: cost 26 inf + 0 55.620 * * [simplify]: Extracting #2: cost 42 inf + 46 55.621 * * [simplify]: Extracting #3: cost 11 inf + 3086 55.624 * * [simplify]: Extracting #4: cost 0 inf + 4633 55.628 * * [simplify]: Extracting #5: cost 0 inf + 4593 55.631 * [simplify]: Simplified to (fma (* x x) -1/4 (fma 3/16 (* (* x x) (* x x)) 1/2)) 55.631 * [simplify]: Simplified (2 2 2 1 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (fma (* x x) -1/4 (fma 3/16 (* (* x x) (* x x)) 1/2)) 1/2))))))) 55.631 * * * * [progress]: [ 252 / 253 ] simplifiying candidate # 55.632 * [simplify]: Simplifying (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) 55.632 * * [simplify]: iters left: 6 (17 enodes) 55.644 * * [simplify]: iters left: 5 (80 enodes) 55.674 * * [simplify]: iters left: 4 (151 enodes) 55.702 * * [simplify]: iters left: 3 (258 enodes) 55.761 * * [simplify]: iters left: 2 (438 enodes) 55.899 * * [simplify]: Extracting #0: cost 1 inf + 0 55.899 * * [simplify]: Extracting #1: cost 23 inf + 0 55.900 * * [simplify]: Extracting #2: cost 101 inf + 4 55.901 * * [simplify]: Extracting #3: cost 196 inf + 175 55.906 * * [simplify]: Extracting #4: cost 136 inf + 17518 55.916 * * [simplify]: Extracting #5: cost 42 inf + 54368 55.925 * * [simplify]: Extracting #6: cost 2 inf + 70489 55.932 * * [simplify]: Extracting #7: cost 0 inf + 71257 55.939 * [simplify]: Simplified to (- (/ 1/2 x) (- (/ (/ 1/4 x) (* x x)) (/ 3/16 (pow x 5)))) 55.939 * [simplify]: Simplified (2 2 2 1 2 1 1) to (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 x) (- (/ (/ 1/4 x) (* x x)) (/ 3/16 (pow x 5)))) 1/2))))))) 55.940 * * * * [progress]: [ 253 / 253 ] simplifiying candidate # 55.940 * [simplify]: Simplifying (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) 55.940 * * [simplify]: iters left: 6 (17 enodes) 55.947 * * [simplify]: iters left: 5 (81 enodes) 55.981 * * [simplify]: iters left: 4 (143 enodes) 56.007 * * [simplify]: iters left: 3 (253 enodes) 56.083 * * [simplify]: iters left: 2 (464 enodes) 56.239 * * [simplify]: Extracting #0: cost 1 inf + 0 56.239 * * [simplify]: Extracting #1: cost 31 inf + 0 56.240 * * [simplify]: Extracting #2: cost 110 inf + 5 56.241 * * [simplify]: Extracting #3: cost 198 inf + 173 56.244 * * [simplify]: Extracting #4: cost 164 inf + 7358 56.253 * * [simplify]: Extracting #5: cost 78 inf + 36109 56.269 * * [simplify]: Extracting #6: cost 5 inf + 70497 56.284 * * [simplify]: Extracting #7: cost 0 inf + 72524 56.299 * [simplify]: Simplified to (- (/ (/ 1/4 x) (* x x)) (+ (/ 3/16 (pow x 5)) (/ 1/2 x))) 56.299 * [simplify]: Simplified (2 2 2 1 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (- (/ (/ 1/4 x) (* x x)) (+ (/ 3/16 (pow x 5)) (/ 1/2 x))) 1/2))))))) 56.299 * * * [progress]: adding candidates to table 59.297 * * [progress]: iteration 4 / 4 59.297 * * * [progress]: picking best candidate 59.317 * * * * [pick]: Picked # 59.317 * * * [progress]: localizing error 59.418 * * * [progress]: generating rewritten candidates 59.419 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 59.497 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 59.688 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 59.706 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 2 1) 59.737 * * * [progress]: generating series expansions 59.737 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 59.738 * [backup-simplify]: Simplify (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 59.738 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in (x) around 0 59.738 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 59.738 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 59.738 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 59.738 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 59.738 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 59.738 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 59.738 * [taylor]: Taking taylor expansion of 1/2 in x 59.738 * [backup-simplify]: Simplify 1/2 into 1/2 59.738 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 59.738 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 59.738 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 59.738 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 59.738 * [taylor]: Taking taylor expansion of (* 1 1) in x 59.738 * [taylor]: Taking taylor expansion of 1 in x 59.738 * [backup-simplify]: Simplify 1 into 1 59.738 * [taylor]: Taking taylor expansion of 1 in x 59.738 * [backup-simplify]: Simplify 1 into 1 59.738 * [taylor]: Taking taylor expansion of (* x x) in x 59.738 * [taylor]: Taking taylor expansion of x in x 59.738 * [backup-simplify]: Simplify 0 into 0 59.738 * [backup-simplify]: Simplify 1 into 1 59.738 * [taylor]: Taking taylor expansion of x in x 59.738 * [backup-simplify]: Simplify 0 into 0 59.738 * [backup-simplify]: Simplify 1 into 1 59.739 * [backup-simplify]: Simplify (* 1 1) into 1 59.740 * [backup-simplify]: Simplify (* 0 0) into 0 59.740 * [backup-simplify]: Simplify (+ 1 0) into 1 59.740 * [backup-simplify]: Simplify (sqrt 1) into 1 59.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 59.742 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 59.742 * [backup-simplify]: Simplify (+ 0 0) into 0 59.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 59.743 * [backup-simplify]: Simplify (/ 1 1) into 1 59.743 * [taylor]: Taking taylor expansion of 1/2 in x 59.743 * [backup-simplify]: Simplify 1/2 into 1/2 59.743 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 59.744 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 59.744 * [backup-simplify]: Simplify (sqrt 1) into 1 59.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 59.746 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 59.746 * [backup-simplify]: Simplify (+ 0 0) into 0 59.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 59.747 * [taylor]: Taking taylor expansion of 1 in x 59.747 * [backup-simplify]: Simplify 1 into 1 59.747 * [backup-simplify]: Simplify (+ 1 1) into 2 59.747 * [backup-simplify]: Simplify (/ 1 2) into 1/2 59.748 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 59.748 * [backup-simplify]: Simplify (+ 0 0) into 0 59.748 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 59.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 59.749 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 59.749 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 59.749 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 59.749 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 59.749 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 59.749 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 59.749 * [taylor]: Taking taylor expansion of 1/2 in x 59.749 * [backup-simplify]: Simplify 1/2 into 1/2 59.749 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 59.749 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 59.749 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 59.749 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 59.749 * [taylor]: Taking taylor expansion of (* 1 1) in x 59.749 * [taylor]: Taking taylor expansion of 1 in x 59.749 * [backup-simplify]: Simplify 1 into 1 59.749 * [taylor]: Taking taylor expansion of 1 in x 59.749 * [backup-simplify]: Simplify 1 into 1 59.749 * [taylor]: Taking taylor expansion of (* x x) in x 59.749 * [taylor]: Taking taylor expansion of x in x 59.749 * [backup-simplify]: Simplify 0 into 0 59.749 * [backup-simplify]: Simplify 1 into 1 59.749 * [taylor]: Taking taylor expansion of x in x 59.749 * [backup-simplify]: Simplify 0 into 0 59.749 * [backup-simplify]: Simplify 1 into 1 59.749 * [backup-simplify]: Simplify (* 1 1) into 1 59.750 * [backup-simplify]: Simplify (* 0 0) into 0 59.750 * [backup-simplify]: Simplify (+ 1 0) into 1 59.750 * [backup-simplify]: Simplify (sqrt 1) into 1 59.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 59.751 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 59.751 * [backup-simplify]: Simplify (+ 0 0) into 0 59.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 59.752 * [backup-simplify]: Simplify (/ 1 1) into 1 59.752 * [taylor]: Taking taylor expansion of 1/2 in x 59.752 * [backup-simplify]: Simplify 1/2 into 1/2 59.752 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 59.752 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 59.752 * [backup-simplify]: Simplify (sqrt 1) into 1 59.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 59.754 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 59.754 * [backup-simplify]: Simplify (+ 0 0) into 0 59.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 59.754 * [taylor]: Taking taylor expansion of 1 in x 59.754 * [backup-simplify]: Simplify 1 into 1 59.755 * [backup-simplify]: Simplify (+ 1 1) into 2 59.755 * [backup-simplify]: Simplify (/ 1 2) into 1/2 59.755 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 59.756 * [backup-simplify]: Simplify (+ 0 0) into 0 59.756 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 59.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 59.757 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 59.757 * [backup-simplify]: Simplify 0 into 0 59.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 59.758 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 59.758 * [backup-simplify]: Simplify (+ 0 1) into 1 59.759 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 59.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 59.760 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 59.760 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 59.761 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 59.761 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 59.762 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ -1/8 2)) (* 0 (/ 0 2)))) into 1/32 59.763 * [backup-simplify]: Simplify (/ (- 1/32 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ 1/64 (sqrt 1/2)) 59.764 * [backup-simplify]: Simplify (/ 1/64 (sqrt 1/2)) into (/ 1/64 (sqrt 1/2)) 59.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 59.765 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 59.766 * [backup-simplify]: Simplify (+ 0 0) into 0 59.766 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 59.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 59.768 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 59.768 * [backup-simplify]: Simplify (+ 0 0) into 0 59.769 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 59.769 * [backup-simplify]: Simplify (+ 0 0) into 0 59.770 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/8 2)) (* 1/32 (/ 0 2)))) into 0 59.771 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/64 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 59.771 * [backup-simplify]: Simplify 0 into 0 59.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 59.772 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 59.772 * [backup-simplify]: Simplify (+ 0 0) into 0 59.773 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 59.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 59.775 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 59.775 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 59.777 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 59.778 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 59.780 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 11/128 2)) (* 0 (/ 0 2)) (* 1/32 (/ -1/8 2)) (* 0 (/ 0 2)))) into -5/256 59.786 * [backup-simplify]: Simplify (/ (- -5/256 (pow (/ 1/64 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* -1/2 (/ (+ (* 1/4096 (/ 1 (pow (sqrt 1/2) 2))) 5/256) (sqrt 1/2))) 59.793 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1/4096 (/ 1 (pow (sqrt 1/2) 2))) 5/256) (sqrt 1/2))) into (* -1/2 (/ (+ (* 1/4096 (/ 1 (pow (sqrt 1/2) 2))) 5/256) (sqrt 1/2))) 59.802 * [backup-simplify]: Simplify (+ (* (* -1/2 (/ (+ (* 1/4096 (/ 1 (pow (sqrt 1/2) 2))) 5/256) (sqrt 1/2))) (pow x 4)) (+ (* (/ 1/64 (sqrt 1/2)) (pow x 2)) (sqrt 1/2))) into (- (+ (* 1/64 (/ (pow x 2) (sqrt 1/2))) (sqrt 1/2)) (+ (* 5/512 (/ (pow x 4) (sqrt 1/2))) (* 1/8192 (/ (pow x 4) (pow (sqrt 1/2) 3))))) 59.802 * [backup-simplify]: Simplify (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2))))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) 59.802 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in (x) around 0 59.802 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 59.802 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 59.802 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 59.802 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 59.802 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 59.802 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 59.802 * [taylor]: Taking taylor expansion of 1/2 in x 59.802 * [backup-simplify]: Simplify 1/2 into 1/2 59.802 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 59.802 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 59.802 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 59.802 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 59.803 * [taylor]: Taking taylor expansion of (* 1 1) in x 59.803 * [taylor]: Taking taylor expansion of 1 in x 59.803 * [backup-simplify]: Simplify 1 into 1 59.803 * [taylor]: Taking taylor expansion of 1 in x 59.803 * [backup-simplify]: Simplify 1 into 1 59.803 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 59.803 * [taylor]: Taking taylor expansion of (/ 1 x) in x 59.803 * [taylor]: Taking taylor expansion of x in x 59.803 * [backup-simplify]: Simplify 0 into 0 59.803 * [backup-simplify]: Simplify 1 into 1 59.803 * [backup-simplify]: Simplify (/ 1 1) into 1 59.804 * [taylor]: Taking taylor expansion of (/ 1 x) in x 59.804 * [taylor]: Taking taylor expansion of x in x 59.804 * [backup-simplify]: Simplify 0 into 0 59.804 * [backup-simplify]: Simplify 1 into 1 59.804 * [backup-simplify]: Simplify (/ 1 1) into 1 59.804 * [backup-simplify]: Simplify (* 1 1) into 1 59.805 * [backup-simplify]: Simplify (+ 0 1) into 1 59.805 * [backup-simplify]: Simplify (sqrt 1) into 1 59.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 59.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 59.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 59.808 * [backup-simplify]: Simplify (+ 0 0) into 0 59.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 59.809 * [backup-simplify]: Simplify (/ 1 1) into 1 59.809 * [taylor]: Taking taylor expansion of 1/2 in x 59.809 * [backup-simplify]: Simplify 1/2 into 1/2 59.809 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 59.810 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 59.810 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 59.810 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 59.812 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 59.812 * [taylor]: Taking taylor expansion of 1 in x 59.812 * [backup-simplify]: Simplify 1 into 1 59.813 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 59.814 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1/2) 1)) into (/ 1 (+ (sqrt 1/2) 1)) 59.816 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt 1/2) 1))) into (sqrt (/ 1 (+ (sqrt 1/2) 1))) 59.818 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 59.827 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt 1/2) 1)) (/ (* 1/4 (/ 1 (sqrt 1/2))) (+ (sqrt 1/2) 1))))) into (- (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) 59.835 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (* 2 (sqrt (/ 1 (+ (sqrt 1/2) 1))))) into (* -1/8 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))) 59.835 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 59.835 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 59.836 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 59.836 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 59.836 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 59.836 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 59.836 * [taylor]: Taking taylor expansion of 1/2 in x 59.836 * [backup-simplify]: Simplify 1/2 into 1/2 59.836 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 59.836 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 59.836 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 59.836 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 59.836 * [taylor]: Taking taylor expansion of (* 1 1) in x 59.836 * [taylor]: Taking taylor expansion of 1 in x 59.836 * [backup-simplify]: Simplify 1 into 1 59.836 * [taylor]: Taking taylor expansion of 1 in x 59.836 * [backup-simplify]: Simplify 1 into 1 59.836 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 59.836 * [taylor]: Taking taylor expansion of (/ 1 x) in x 59.836 * [taylor]: Taking taylor expansion of x in x 59.836 * [backup-simplify]: Simplify 0 into 0 59.836 * [backup-simplify]: Simplify 1 into 1 59.836 * [backup-simplify]: Simplify (/ 1 1) into 1 59.836 * [taylor]: Taking taylor expansion of (/ 1 x) in x 59.836 * [taylor]: Taking taylor expansion of x in x 59.836 * [backup-simplify]: Simplify 0 into 0 59.836 * [backup-simplify]: Simplify 1 into 1 59.836 * [backup-simplify]: Simplify (/ 1 1) into 1 59.837 * [backup-simplify]: Simplify (* 1 1) into 1 59.837 * [backup-simplify]: Simplify (+ 0 1) into 1 59.843 * [backup-simplify]: Simplify (sqrt 1) into 1 59.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 59.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 59.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 59.845 * [backup-simplify]: Simplify (+ 0 0) into 0 59.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 59.845 * [backup-simplify]: Simplify (/ 1 1) into 1 59.845 * [taylor]: Taking taylor expansion of 1/2 in x 59.845 * [backup-simplify]: Simplify 1/2 into 1/2 59.846 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 59.846 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 59.847 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 59.847 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 59.848 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 59.848 * [taylor]: Taking taylor expansion of 1 in x 59.848 * [backup-simplify]: Simplify 1 into 1 59.848 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 59.849 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1/2) 1)) into (/ 1 (+ (sqrt 1/2) 1)) 59.850 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt 1/2) 1))) into (sqrt (/ 1 (+ (sqrt 1/2) 1))) 59.851 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 59.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt 1/2) 1)) (/ (* 1/4 (/ 1 (sqrt 1/2))) (+ (sqrt 1/2) 1))))) into (- (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) 59.863 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (* 2 (sqrt (/ 1 (+ (sqrt 1/2) 1))))) into (* -1/8 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))) 59.865 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt 1/2) 1))) into (sqrt (/ 1 (+ (sqrt 1/2) 1))) 59.869 * [backup-simplify]: Simplify (* -1/8 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))) into (* -1/8 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))) 59.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 59.870 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 59.870 * [backup-simplify]: Simplify (+ 0 0) into 0 59.875 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 59.877 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 59.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt 1/2) 1)) (/ (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) 1))) (* (- (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (/ (* 1/4 (/ 1 (sqrt 1/2))) (+ (sqrt 1/2) 1))))) into (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) 59.924 * [backup-simplify]: Simplify (/ (- (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) (pow (* -1/8 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))) 2) (+)) (* 2 (sqrt (/ 1 (+ (sqrt 1/2) 1))))) into (* 1/2 (* (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 3/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) (sqrt (+ (sqrt 1/2) 1)))) 59.945 * [backup-simplify]: Simplify (* 1/2 (* (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 3/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) (sqrt (+ (sqrt 1/2) 1)))) into (* 1/2 (* (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 3/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) (sqrt (+ (sqrt 1/2) 1)))) 59.969 * [backup-simplify]: Simplify (+ (* (* 1/2 (* (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 3/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) (sqrt (+ (sqrt 1/2) 1)))) (pow (/ 1 x) 2)) (+ (* (* -1/8 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))) (/ 1 x)) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) into (- (+ (* 3/128 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 5))))) (+ (* 1/64 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) (* 1/8 (* (/ 1 (* x (sqrt 1/2))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3)))))) 59.970 * [backup-simplify]: Simplify (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2))))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) 59.970 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in (x) around 0 59.970 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 59.970 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 59.970 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 59.970 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 59.970 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 59.970 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 59.970 * [taylor]: Taking taylor expansion of 1/2 in x 59.970 * [backup-simplify]: Simplify 1/2 into 1/2 59.970 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 59.970 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 59.970 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 59.970 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 59.970 * [taylor]: Taking taylor expansion of (* 1 1) in x 59.970 * [taylor]: Taking taylor expansion of 1 in x 59.970 * [backup-simplify]: Simplify 1 into 1 59.970 * [taylor]: Taking taylor expansion of 1 in x 59.970 * [backup-simplify]: Simplify 1 into 1 59.970 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 59.970 * [taylor]: Taking taylor expansion of (/ -1 x) in x 59.970 * [taylor]: Taking taylor expansion of -1 in x 59.970 * [backup-simplify]: Simplify -1 into -1 59.970 * [taylor]: Taking taylor expansion of x in x 59.970 * [backup-simplify]: Simplify 0 into 0 59.970 * [backup-simplify]: Simplify 1 into 1 59.970 * [backup-simplify]: Simplify (/ -1 1) into -1 59.970 * [taylor]: Taking taylor expansion of (/ -1 x) in x 59.970 * [taylor]: Taking taylor expansion of -1 in x 59.970 * [backup-simplify]: Simplify -1 into -1 59.970 * [taylor]: Taking taylor expansion of x in x 59.970 * [backup-simplify]: Simplify 0 into 0 59.970 * [backup-simplify]: Simplify 1 into 1 59.971 * [backup-simplify]: Simplify (/ -1 1) into -1 59.971 * [backup-simplify]: Simplify (* -1 -1) into 1 59.972 * [backup-simplify]: Simplify (+ 0 1) into 1 59.972 * [backup-simplify]: Simplify (sqrt 1) into 1 59.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 59.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 59.973 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 59.974 * [backup-simplify]: Simplify (+ 0 0) into 0 59.974 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 59.974 * [backup-simplify]: Simplify (/ 1 1) into 1 59.975 * [taylor]: Taking taylor expansion of 1/2 in x 59.975 * [backup-simplify]: Simplify 1/2 into 1/2 59.975 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 59.975 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 59.975 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 59.976 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 59.977 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 59.977 * [taylor]: Taking taylor expansion of 1 in x 59.977 * [backup-simplify]: Simplify 1 into 1 59.977 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 59.978 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1/2) 1)) into (/ 1 (+ (sqrt 1/2) 1)) 59.980 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt 1/2) 1))) into (sqrt (/ 1 (+ (sqrt 1/2) 1))) 59.981 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 59.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt 1/2) 1)) (/ (* 1/4 (/ 1 (sqrt 1/2))) (+ (sqrt 1/2) 1))))) into (- (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) 59.992 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (* 2 (sqrt (/ 1 (+ (sqrt 1/2) 1))))) into (* -1/8 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))) 59.992 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 59.992 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 59.992 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 59.992 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 59.992 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 59.992 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 59.992 * [taylor]: Taking taylor expansion of 1/2 in x 59.992 * [backup-simplify]: Simplify 1/2 into 1/2 59.992 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 59.992 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 59.992 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 59.992 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 59.992 * [taylor]: Taking taylor expansion of (* 1 1) in x 59.992 * [taylor]: Taking taylor expansion of 1 in x 59.992 * [backup-simplify]: Simplify 1 into 1 59.993 * [taylor]: Taking taylor expansion of 1 in x 59.993 * [backup-simplify]: Simplify 1 into 1 59.993 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 59.993 * [taylor]: Taking taylor expansion of (/ -1 x) in x 59.993 * [taylor]: Taking taylor expansion of -1 in x 59.993 * [backup-simplify]: Simplify -1 into -1 59.993 * [taylor]: Taking taylor expansion of x in x 59.993 * [backup-simplify]: Simplify 0 into 0 59.993 * [backup-simplify]: Simplify 1 into 1 59.993 * [backup-simplify]: Simplify (/ -1 1) into -1 59.993 * [taylor]: Taking taylor expansion of (/ -1 x) in x 59.993 * [taylor]: Taking taylor expansion of -1 in x 59.993 * [backup-simplify]: Simplify -1 into -1 59.993 * [taylor]: Taking taylor expansion of x in x 59.993 * [backup-simplify]: Simplify 0 into 0 59.993 * [backup-simplify]: Simplify 1 into 1 59.993 * [backup-simplify]: Simplify (/ -1 1) into -1 59.993 * [backup-simplify]: Simplify (* -1 -1) into 1 59.994 * [backup-simplify]: Simplify (+ 0 1) into 1 59.994 * [backup-simplify]: Simplify (sqrt 1) into 1 59.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 59.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 59.995 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 59.996 * [backup-simplify]: Simplify (+ 0 0) into 0 59.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 59.996 * [backup-simplify]: Simplify (/ 1 1) into 1 59.996 * [taylor]: Taking taylor expansion of 1/2 in x 59.996 * [backup-simplify]: Simplify 1/2 into 1/2 59.996 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 59.997 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 59.997 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 59.997 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 59.998 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 59.998 * [taylor]: Taking taylor expansion of 1 in x 59.998 * [backup-simplify]: Simplify 1 into 1 59.999 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 60.000 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1/2) 1)) into (/ 1 (+ (sqrt 1/2) 1)) 60.002 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt 1/2) 1))) into (sqrt (/ 1 (+ (sqrt 1/2) 1))) 60.003 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 60.012 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt 1/2) 1)) (/ (* 1/4 (/ 1 (sqrt 1/2))) (+ (sqrt 1/2) 1))))) into (- (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) 60.024 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (* 2 (sqrt (/ 1 (+ (sqrt 1/2) 1))))) into (* -1/8 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))) 60.026 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt 1/2) 1))) into (sqrt (/ 1 (+ (sqrt 1/2) 1))) 60.033 * [backup-simplify]: Simplify (* -1/8 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))) into (* -1/8 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))) 60.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 60.035 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 60.035 * [backup-simplify]: Simplify (+ 0 0) into 0 60.040 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 60.049 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 60.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt 1/2) 1)) (/ (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) 1))) (* (- (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (/ (* 1/4 (/ 1 (sqrt 1/2))) (+ (sqrt 1/2) 1))))) into (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) 60.098 * [backup-simplify]: Simplify (/ (- (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) (pow (* -1/8 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))) 2) (+)) (* 2 (sqrt (/ 1 (+ (sqrt 1/2) 1))))) into (* 1/2 (* (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 3/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) (sqrt (+ (sqrt 1/2) 1)))) 60.119 * [backup-simplify]: Simplify (* 1/2 (* (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 3/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) (sqrt (+ (sqrt 1/2) 1)))) into (* 1/2 (* (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 3/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) (sqrt (+ (sqrt 1/2) 1)))) 60.139 * [backup-simplify]: Simplify (+ (* (* 1/2 (* (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 3/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) (sqrt (+ (sqrt 1/2) 1)))) (pow (/ 1 (- x)) 2)) (+ (* (* -1/8 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (sqrt 1/2)))) (/ 1 (- x))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) into (+ (* 3/128 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 5))))) (+ (* 1/64 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))))) (+ (sqrt (/ 1 (+ (sqrt 1/2) 1))) (* 1/8 (* (/ 1 (* x (sqrt 1/2))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3)))))))) 60.139 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 60.139 * [backup-simplify]: Simplify (* (sqrt (+ 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)))))) into (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (+ (* 1/4 (/ 1 (pow (hypot 1 x) 2))) (+ (* 1/4 (/ 1 (hypot 1 x))) 1/4))) 60.139 * [approximate]: Taking taylor expansion of (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (+ (* 1/4 (/ 1 (pow (hypot 1 x) 2))) (+ (* 1/4 (/ 1 (hypot 1 x))) 1/4))) in (x) around 0 60.139 * [taylor]: Taking taylor expansion of (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (+ (* 1/4 (/ 1 (pow (hypot 1 x) 2))) (+ (* 1/4 (/ 1 (hypot 1 x))) 1/4))) in x 60.139 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 60.139 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 60.139 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 60.140 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 60.140 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 60.140 * [taylor]: Taking taylor expansion of 1/2 in x 60.140 * [backup-simplify]: Simplify 1/2 into 1/2 60.140 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 60.140 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 60.140 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 60.140 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 60.140 * [taylor]: Taking taylor expansion of (* 1 1) in x 60.140 * [taylor]: Taking taylor expansion of 1 in x 60.140 * [backup-simplify]: Simplify 1 into 1 60.140 * [taylor]: Taking taylor expansion of 1 in x 60.140 * [backup-simplify]: Simplify 1 into 1 60.140 * [taylor]: Taking taylor expansion of (* x x) in x 60.140 * [taylor]: Taking taylor expansion of x in x 60.140 * [backup-simplify]: Simplify 0 into 0 60.140 * [backup-simplify]: Simplify 1 into 1 60.140 * [taylor]: Taking taylor expansion of x in x 60.140 * [backup-simplify]: Simplify 0 into 0 60.140 * [backup-simplify]: Simplify 1 into 1 60.140 * [backup-simplify]: Simplify (* 1 1) into 1 60.140 * [backup-simplify]: Simplify (* 0 0) into 0 60.141 * [backup-simplify]: Simplify (+ 1 0) into 1 60.141 * [backup-simplify]: Simplify (sqrt 1) into 1 60.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 60.142 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 60.142 * [backup-simplify]: Simplify (+ 0 0) into 0 60.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 60.148 * [backup-simplify]: Simplify (/ 1 1) into 1 60.148 * [taylor]: Taking taylor expansion of 1/2 in x 60.148 * [backup-simplify]: Simplify 1/2 into 1/2 60.149 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 60.149 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 60.150 * [backup-simplify]: Simplify (sqrt 1) into 1 60.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 60.152 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 60.152 * [backup-simplify]: Simplify (+ 0 0) into 0 60.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 60.153 * [taylor]: Taking taylor expansion of 1 in x 60.153 * [backup-simplify]: Simplify 1 into 1 60.154 * [backup-simplify]: Simplify (+ 1 1) into 2 60.154 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 60.154 * [backup-simplify]: Simplify (+ 0 0) into 0 60.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 60.155 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow (hypot 1 x) 2))) (+ (* 1/4 (/ 1 (hypot 1 x))) 1/4)) in x 60.155 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow (hypot 1 x) 2))) in x 60.155 * [taylor]: Taking taylor expansion of 1/4 in x 60.155 * [backup-simplify]: Simplify 1/4 into 1/4 60.155 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 2)) in x 60.155 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 2) in x 60.155 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 60.155 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 60.155 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 60.155 * [taylor]: Taking taylor expansion of (* 1 1) in x 60.155 * [taylor]: Taking taylor expansion of 1 in x 60.156 * [backup-simplify]: Simplify 1 into 1 60.156 * [taylor]: Taking taylor expansion of 1 in x 60.156 * [backup-simplify]: Simplify 1 into 1 60.156 * [taylor]: Taking taylor expansion of (* x x) in x 60.156 * [taylor]: Taking taylor expansion of x in x 60.156 * [backup-simplify]: Simplify 0 into 0 60.156 * [backup-simplify]: Simplify 1 into 1 60.156 * [taylor]: Taking taylor expansion of x in x 60.156 * [backup-simplify]: Simplify 0 into 0 60.156 * [backup-simplify]: Simplify 1 into 1 60.156 * [backup-simplify]: Simplify (* 1 1) into 1 60.157 * [backup-simplify]: Simplify (* 0 0) into 0 60.157 * [backup-simplify]: Simplify (+ 1 0) into 1 60.157 * [backup-simplify]: Simplify (sqrt 1) into 1 60.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 60.159 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 60.159 * [backup-simplify]: Simplify (+ 0 0) into 0 60.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 60.160 * [backup-simplify]: Simplify (* 1 1) into 1 60.161 * [backup-simplify]: Simplify (/ 1 1) into 1 60.161 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (hypot 1 x))) 1/4) in x 60.161 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (hypot 1 x))) in x 60.161 * [taylor]: Taking taylor expansion of 1/4 in x 60.161 * [backup-simplify]: Simplify 1/4 into 1/4 60.161 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 60.161 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 60.161 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 60.161 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 60.161 * [taylor]: Taking taylor expansion of (* 1 1) in x 60.161 * [taylor]: Taking taylor expansion of 1 in x 60.161 * [backup-simplify]: Simplify 1 into 1 60.161 * [taylor]: Taking taylor expansion of 1 in x 60.161 * [backup-simplify]: Simplify 1 into 1 60.161 * [taylor]: Taking taylor expansion of (* x x) in x 60.161 * [taylor]: Taking taylor expansion of x in x 60.161 * [backup-simplify]: Simplify 0 into 0 60.161 * [backup-simplify]: Simplify 1 into 1 60.161 * [taylor]: Taking taylor expansion of x in x 60.161 * [backup-simplify]: Simplify 0 into 0 60.161 * [backup-simplify]: Simplify 1 into 1 60.162 * [backup-simplify]: Simplify (* 1 1) into 1 60.162 * [backup-simplify]: Simplify (* 0 0) into 0 60.162 * [backup-simplify]: Simplify (+ 1 0) into 1 60.163 * [backup-simplify]: Simplify (sqrt 1) into 1 60.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 60.164 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 60.165 * [backup-simplify]: Simplify (+ 0 0) into 0 60.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 60.166 * [backup-simplify]: Simplify (/ 1 1) into 1 60.166 * [taylor]: Taking taylor expansion of 1/4 in x 60.166 * [backup-simplify]: Simplify 1/4 into 1/4 60.166 * [taylor]: Taking taylor expansion of (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (+ (* 1/4 (/ 1 (pow (hypot 1 x) 2))) (+ (* 1/4 (/ 1 (hypot 1 x))) 1/4))) in x 60.166 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 60.166 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 60.166 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 60.166 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 60.166 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 60.166 * [taylor]: Taking taylor expansion of 1/2 in x 60.166 * [backup-simplify]: Simplify 1/2 into 1/2 60.166 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 60.166 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 60.167 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 60.167 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 60.167 * [taylor]: Taking taylor expansion of (* 1 1) in x 60.167 * [taylor]: Taking taylor expansion of 1 in x 60.167 * [backup-simplify]: Simplify 1 into 1 60.167 * [taylor]: Taking taylor expansion of 1 in x 60.167 * [backup-simplify]: Simplify 1 into 1 60.167 * [taylor]: Taking taylor expansion of (* x x) in x 60.167 * [taylor]: Taking taylor expansion of x in x 60.167 * [backup-simplify]: Simplify 0 into 0 60.167 * [backup-simplify]: Simplify 1 into 1 60.167 * [taylor]: Taking taylor expansion of x in x 60.167 * [backup-simplify]: Simplify 0 into 0 60.167 * [backup-simplify]: Simplify 1 into 1 60.167 * [backup-simplify]: Simplify (* 1 1) into 1 60.168 * [backup-simplify]: Simplify (* 0 0) into 0 60.168 * [backup-simplify]: Simplify (+ 1 0) into 1 60.168 * [backup-simplify]: Simplify (sqrt 1) into 1 60.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 60.170 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 60.170 * [backup-simplify]: Simplify (+ 0 0) into 0 60.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 60.171 * [backup-simplify]: Simplify (/ 1 1) into 1 60.171 * [taylor]: Taking taylor expansion of 1/2 in x 60.171 * [backup-simplify]: Simplify 1/2 into 1/2 60.172 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 60.172 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 60.173 * [backup-simplify]: Simplify (sqrt 1) into 1 60.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 60.174 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 60.174 * [backup-simplify]: Simplify (+ 0 0) into 0 60.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 60.175 * [taylor]: Taking taylor expansion of 1 in x 60.175 * [backup-simplify]: Simplify 1 into 1 60.176 * [backup-simplify]: Simplify (+ 1 1) into 2 60.176 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 60.176 * [backup-simplify]: Simplify (+ 0 0) into 0 60.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 60.177 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow (hypot 1 x) 2))) (+ (* 1/4 (/ 1 (hypot 1 x))) 1/4)) in x 60.177 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow (hypot 1 x) 2))) in x 60.177 * [taylor]: Taking taylor expansion of 1/4 in x 60.177 * [backup-simplify]: Simplify 1/4 into 1/4 60.177 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 2)) in x 60.177 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 2) in x 60.177 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 60.177 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 60.177 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 60.177 * [taylor]: Taking taylor expansion of (* 1 1) in x 60.177 * [taylor]: Taking taylor expansion of 1 in x 60.177 * [backup-simplify]: Simplify 1 into 1 60.177 * [taylor]: Taking taylor expansion of 1 in x 60.177 * [backup-simplify]: Simplify 1 into 1 60.177 * [taylor]: Taking taylor expansion of (* x x) in x 60.178 * [taylor]: Taking taylor expansion of x in x 60.178 * [backup-simplify]: Simplify 0 into 0 60.178 * [backup-simplify]: Simplify 1 into 1 60.178 * [taylor]: Taking taylor expansion of x in x 60.178 * [backup-simplify]: Simplify 0 into 0 60.178 * [backup-simplify]: Simplify 1 into 1 60.178 * [backup-simplify]: Simplify (* 1 1) into 1 60.178 * [backup-simplify]: Simplify (* 0 0) into 0 60.179 * [backup-simplify]: Simplify (+ 1 0) into 1 60.179 * [backup-simplify]: Simplify (sqrt 1) into 1 60.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 60.180 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 60.181 * [backup-simplify]: Simplify (+ 0 0) into 0 60.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 60.182 * [backup-simplify]: Simplify (* 1 1) into 1 60.182 * [backup-simplify]: Simplify (/ 1 1) into 1 60.182 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (hypot 1 x))) 1/4) in x 60.182 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (hypot 1 x))) in x 60.182 * [taylor]: Taking taylor expansion of 1/4 in x 60.182 * [backup-simplify]: Simplify 1/4 into 1/4 60.183 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 60.183 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 60.183 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 60.183 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 60.183 * [taylor]: Taking taylor expansion of (* 1 1) in x 60.183 * [taylor]: Taking taylor expansion of 1 in x 60.183 * [backup-simplify]: Simplify 1 into 1 60.183 * [taylor]: Taking taylor expansion of 1 in x 60.183 * [backup-simplify]: Simplify 1 into 1 60.183 * [taylor]: Taking taylor expansion of (* x x) in x 60.183 * [taylor]: Taking taylor expansion of x in x 60.183 * [backup-simplify]: Simplify 0 into 0 60.183 * [backup-simplify]: Simplify 1 into 1 60.183 * [taylor]: Taking taylor expansion of x in x 60.183 * [backup-simplify]: Simplify 0 into 0 60.183 * [backup-simplify]: Simplify 1 into 1 60.183 * [backup-simplify]: Simplify (* 1 1) into 1 60.184 * [backup-simplify]: Simplify (* 0 0) into 0 60.184 * [backup-simplify]: Simplify (+ 1 0) into 1 60.185 * [backup-simplify]: Simplify (sqrt 1) into 1 60.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 60.186 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 60.187 * [backup-simplify]: Simplify (+ 0 0) into 0 60.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 60.188 * [backup-simplify]: Simplify (/ 1 1) into 1 60.188 * [taylor]: Taking taylor expansion of 1/4 in x 60.188 * [backup-simplify]: Simplify 1/4 into 1/4 60.188 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 60.189 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 60.189 * [backup-simplify]: Simplify (+ 1/4 1/4) into 1/2 60.189 * [backup-simplify]: Simplify (+ 1/4 1/2) into 3/4 60.190 * [backup-simplify]: Simplify (* (sqrt 2) 3/4) into (* 3/4 (sqrt 2)) 60.191 * [backup-simplify]: Simplify (* 3/4 (sqrt 2)) into (* 3/4 (sqrt 2)) 60.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 60.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 60.193 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 60.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 60.195 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 60.195 * [backup-simplify]: Simplify (+ 0 0) into 0 60.196 * [backup-simplify]: Simplify (+ 0 0) into 0 60.197 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 3/4)) into 0 60.197 * [backup-simplify]: Simplify 0 into 0 60.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 60.198 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 60.199 * [backup-simplify]: Simplify (+ 0 1) into 1 60.200 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 60.201 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 60.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1 1)) (* 0 (/ 0 1)))) into -1 60.203 * [backup-simplify]: Simplify (+ (* 1/4 -1) (+ (* 0 0) (* 0 1))) into -1/4 60.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 60.205 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 60.205 * [backup-simplify]: Simplify (+ 0 1) into 1 60.207 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 60.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 60.209 * [backup-simplify]: Simplify (+ (* 1/4 -1/2) (+ (* 0 0) (* 0 1))) into -1/8 60.209 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 60.210 * [backup-simplify]: Simplify (+ -1/4 -1/8) into -3/8 60.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 60.212 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 60.212 * [backup-simplify]: Simplify (+ 0 1) into 1 60.213 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 60.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 60.215 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 60.216 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 60.217 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 60.217 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 60.220 * [backup-simplify]: Simplify (/ (- -1/8 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -1/16 (sqrt 2)) 60.225 * [backup-simplify]: Simplify (+ (* (sqrt 2) -3/8) (+ (* 0 0) (* (/ -1/16 (sqrt 2)) 3/4))) into (- (+ (* 3/64 (/ 1 (sqrt 2))) (* 3/8 (sqrt 2)))) 60.230 * [backup-simplify]: Simplify (- (+ (* 3/64 (/ 1 (sqrt 2))) (* 3/8 (sqrt 2)))) into (- (+ (* 3/64 (/ 1 (sqrt 2))) (* 3/8 (sqrt 2)))) 60.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 60.232 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 60.233 * [backup-simplify]: Simplify (+ 0 0) into 0 60.234 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 60.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 60.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1 1)) (* -1 (/ 0 1)))) into 0 60.238 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1)))) into 0 60.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 60.240 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 60.240 * [backup-simplify]: Simplify (+ 0 0) into 0 60.242 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 60.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 60.245 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 60.245 * [backup-simplify]: Simplify (+ 0 0) into 0 60.245 * [backup-simplify]: Simplify (+ 0 0) into 0 60.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 60.247 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 60.248 * [backup-simplify]: Simplify (+ 0 0) into 0 60.249 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 60.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 60.252 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 60.252 * [backup-simplify]: Simplify (+ 0 0) into 0 60.253 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 60.254 * [backup-simplify]: Simplify (+ 0 0) into 0 60.255 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/16 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 60.257 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 -3/8) (+ (* (/ -1/16 (sqrt 2)) 0) (* 0 3/4)))) into 0 60.257 * [backup-simplify]: Simplify 0 into 0 60.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 60.260 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 60.260 * [backup-simplify]: Simplify (+ 0 0) into 0 60.261 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 60.263 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 60.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1 (/ 1 1)) (* 0 (/ 0 1)))) into 1 60.266 * [backup-simplify]: Simplify (+ (* 1/4 1) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1))))) into 1/4 60.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 60.268 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 60.269 * [backup-simplify]: Simplify (+ 0 0) into 0 60.270 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 60.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 60.274 * [backup-simplify]: Simplify (+ (* 1/4 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/32 60.274 * [backup-simplify]: Simplify (+ 3/32 0) into 3/32 60.275 * [backup-simplify]: Simplify (+ 1/4 3/32) into 11/32 60.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 60.277 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 60.278 * [backup-simplify]: Simplify (+ 0 0) into 0 60.279 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 60.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 60.283 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 60.283 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 60.285 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 60.285 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 60.290 * [backup-simplify]: Simplify (/ (- 11/128 (pow (/ -1/16 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- 11/128 (* 1/256 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) 60.309 * [backup-simplify]: Simplify (+ (* (sqrt 2) 11/32) (+ (* 0 0) (+ (* (/ -1/16 (sqrt 2)) -3/8) (+ (* 0 0) (* (* 1/2 (/ (- 11/128 (* 1/256 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) 3/4))))) into (- (+ (* 57/1024 (/ 1 (sqrt 2))) (* 11/32 (sqrt 2))) (* 3/2048 (/ 1 (pow (sqrt 2) 3)))) 60.314 * [backup-simplify]: Simplify (- (+ (* 57/1024 (/ 1 (sqrt 2))) (* 11/32 (sqrt 2))) (* 3/2048 (/ 1 (pow (sqrt 2) 3)))) into (- (+ (* 57/1024 (/ 1 (sqrt 2))) (* 11/32 (sqrt 2))) (* 3/2048 (/ 1 (pow (sqrt 2) 3)))) 60.323 * [backup-simplify]: Simplify (+ (* (- (+ (* 57/1024 (/ 1 (sqrt 2))) (* 11/32 (sqrt 2))) (* 3/2048 (/ 1 (pow (sqrt 2) 3)))) (pow x 4)) (+ (* (- (+ (* 3/64 (/ 1 (sqrt 2))) (* 3/8 (sqrt 2)))) (pow x 2)) (* 3/4 (sqrt 2)))) into (- (+ (* 3/4 (sqrt 2)) (+ (* 11/32 (* (sqrt 2) (pow x 4))) (* 57/1024 (/ (pow x 4) (sqrt 2))))) (+ (* 3/2048 (/ (pow x 4) (pow (sqrt 2) 3))) (+ (* 3/64 (/ (pow x 2) (sqrt 2))) (* 3/8 (* (sqrt 2) (pow x 2)))))) 60.324 * [backup-simplify]: Simplify (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)))) (+ (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 (/ 1 x))) (/ 1/2 (hypot 1 (/ 1 x)))) (* 1/2 (/ 1/2 (hypot 1 (/ 1 x))))))) into (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (+ (* 1/4 (/ 1 (hypot 1 (/ 1 x)))) (+ (* 1/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) 1/4))) 60.324 * [approximate]: Taking taylor expansion of (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (+ (* 1/4 (/ 1 (hypot 1 (/ 1 x)))) (+ (* 1/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) 1/4))) in (x) around 0 60.324 * [taylor]: Taking taylor expansion of (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (+ (* 1/4 (/ 1 (hypot 1 (/ 1 x)))) (+ (* 1/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) 1/4))) in x 60.324 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 60.324 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 60.324 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 60.324 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 60.324 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 60.324 * [taylor]: Taking taylor expansion of 1/2 in x 60.324 * [backup-simplify]: Simplify 1/2 into 1/2 60.324 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 60.324 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 60.324 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 60.325 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 60.325 * [taylor]: Taking taylor expansion of (* 1 1) in x 60.325 * [taylor]: Taking taylor expansion of 1 in x 60.325 * [backup-simplify]: Simplify 1 into 1 60.325 * [taylor]: Taking taylor expansion of 1 in x 60.325 * [backup-simplify]: Simplify 1 into 1 60.325 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 60.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 60.325 * [taylor]: Taking taylor expansion of x in x 60.325 * [backup-simplify]: Simplify 0 into 0 60.325 * [backup-simplify]: Simplify 1 into 1 60.325 * [backup-simplify]: Simplify (/ 1 1) into 1 60.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 60.325 * [taylor]: Taking taylor expansion of x in x 60.325 * [backup-simplify]: Simplify 0 into 0 60.325 * [backup-simplify]: Simplify 1 into 1 60.326 * [backup-simplify]: Simplify (/ 1 1) into 1 60.326 * [backup-simplify]: Simplify (* 1 1) into 1 60.326 * [backup-simplify]: Simplify (+ 0 1) into 1 60.327 * [backup-simplify]: Simplify (sqrt 1) into 1 60.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 60.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 60.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 60.329 * [backup-simplify]: Simplify (+ 0 0) into 0 60.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 60.330 * [backup-simplify]: Simplify (/ 1 1) into 1 60.330 * [taylor]: Taking taylor expansion of 1/2 in x 60.330 * [backup-simplify]: Simplify 1/2 into 1/2 60.331 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 60.331 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 60.332 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 60.332 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 60.334 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 60.334 * [taylor]: Taking taylor expansion of 1 in x 60.334 * [backup-simplify]: Simplify 1 into 1 60.334 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 60.336 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1/2) 1)) into (sqrt (+ (sqrt 1/2) 1)) 60.338 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 60.343 * [backup-simplify]: Simplify (/ (* 1/4 (/ 1 (sqrt 1/2))) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 60.343 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (hypot 1 (/ 1 x)))) (+ (* 1/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) 1/4)) in x 60.343 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (hypot 1 (/ 1 x)))) in x 60.343 * [taylor]: Taking taylor expansion of 1/4 in x 60.343 * [backup-simplify]: Simplify 1/4 into 1/4 60.343 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 60.343 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 60.343 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 60.344 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 60.344 * [taylor]: Taking taylor expansion of (* 1 1) in x 60.344 * [taylor]: Taking taylor expansion of 1 in x 60.344 * [backup-simplify]: Simplify 1 into 1 60.344 * [taylor]: Taking taylor expansion of 1 in x 60.344 * [backup-simplify]: Simplify 1 into 1 60.344 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 60.344 * [taylor]: Taking taylor expansion of (/ 1 x) in x 60.344 * [taylor]: Taking taylor expansion of x in x 60.344 * [backup-simplify]: Simplify 0 into 0 60.344 * [backup-simplify]: Simplify 1 into 1 60.344 * [backup-simplify]: Simplify (/ 1 1) into 1 60.344 * [taylor]: Taking taylor expansion of (/ 1 x) in x 60.344 * [taylor]: Taking taylor expansion of x in x 60.344 * [backup-simplify]: Simplify 0 into 0 60.344 * [backup-simplify]: Simplify 1 into 1 60.345 * [backup-simplify]: Simplify (/ 1 1) into 1 60.345 * [backup-simplify]: Simplify (* 1 1) into 1 60.345 * [backup-simplify]: Simplify (+ 0 1) into 1 60.346 * [backup-simplify]: Simplify (sqrt 1) into 1 60.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 60.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 60.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 60.348 * [backup-simplify]: Simplify (+ 0 0) into 0 60.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 60.349 * [backup-simplify]: Simplify (/ 1 1) into 1 60.349 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) 1/4) in x 60.350 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) in x 60.350 * [taylor]: Taking taylor expansion of 1/4 in x 60.350 * [backup-simplify]: Simplify 1/4 into 1/4 60.350 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 2)) in x 60.350 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 2) in x 60.350 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 60.350 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 60.350 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 60.350 * [taylor]: Taking taylor expansion of (* 1 1) in x 60.350 * [taylor]: Taking taylor expansion of 1 in x 60.350 * [backup-simplify]: Simplify 1 into 1 60.350 * [taylor]: Taking taylor expansion of 1 in x 60.350 * [backup-simplify]: Simplify 1 into 1 60.350 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 60.350 * [taylor]: Taking taylor expansion of (/ 1 x) in x 60.350 * [taylor]: Taking taylor expansion of x in x 60.350 * [backup-simplify]: Simplify 0 into 0 60.350 * [backup-simplify]: Simplify 1 into 1 60.350 * [backup-simplify]: Simplify (/ 1 1) into 1 60.350 * [taylor]: Taking taylor expansion of (/ 1 x) in x 60.350 * [taylor]: Taking taylor expansion of x in x 60.350 * [backup-simplify]: Simplify 0 into 0 60.350 * [backup-simplify]: Simplify 1 into 1 60.351 * [backup-simplify]: Simplify (/ 1 1) into 1 60.351 * [backup-simplify]: Simplify (* 1 1) into 1 60.352 * [backup-simplify]: Simplify (+ 0 1) into 1 60.352 * [backup-simplify]: Simplify (sqrt 1) into 1 60.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 60.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 60.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 60.354 * [backup-simplify]: Simplify (+ 0 0) into 0 60.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 60.355 * [backup-simplify]: Simplify (* 1 1) into 1 60.356 * [backup-simplify]: Simplify (/ 1 1) into 1 60.356 * [taylor]: Taking taylor expansion of 1/4 in x 60.356 * [backup-simplify]: Simplify 1/4 into 1/4 60.356 * [taylor]: Taking taylor expansion of (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (+ (* 1/4 (/ 1 (hypot 1 (/ 1 x)))) (+ (* 1/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) 1/4))) in x 60.356 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 60.356 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 60.356 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 60.356 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 60.356 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 60.356 * [taylor]: Taking taylor expansion of 1/2 in x 60.356 * [backup-simplify]: Simplify 1/2 into 1/2 60.356 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 60.356 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 60.356 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 60.356 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 60.356 * [taylor]: Taking taylor expansion of (* 1 1) in x 60.356 * [taylor]: Taking taylor expansion of 1 in x 60.356 * [backup-simplify]: Simplify 1 into 1 60.356 * [taylor]: Taking taylor expansion of 1 in x 60.356 * [backup-simplify]: Simplify 1 into 1 60.356 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 60.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 60.356 * [taylor]: Taking taylor expansion of x in x 60.357 * [backup-simplify]: Simplify 0 into 0 60.357 * [backup-simplify]: Simplify 1 into 1 60.357 * [backup-simplify]: Simplify (/ 1 1) into 1 60.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 60.357 * [taylor]: Taking taylor expansion of x in x 60.357 * [backup-simplify]: Simplify 0 into 0 60.357 * [backup-simplify]: Simplify 1 into 1 60.357 * [backup-simplify]: Simplify (/ 1 1) into 1 60.358 * [backup-simplify]: Simplify (* 1 1) into 1 60.358 * [backup-simplify]: Simplify (+ 0 1) into 1 60.358 * [backup-simplify]: Simplify (sqrt 1) into 1 60.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 60.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 60.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 60.361 * [backup-simplify]: Simplify (+ 0 0) into 0 60.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 60.362 * [backup-simplify]: Simplify (/ 1 1) into 1 60.362 * [taylor]: Taking taylor expansion of 1/2 in x 60.362 * [backup-simplify]: Simplify 1/2 into 1/2 60.362 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 60.363 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 60.363 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 60.364 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 60.365 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 60.365 * [taylor]: Taking taylor expansion of 1 in x 60.365 * [backup-simplify]: Simplify 1 into 1 60.366 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 60.367 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1/2) 1)) into (sqrt (+ (sqrt 1/2) 1)) 60.369 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 60.374 * [backup-simplify]: Simplify (/ (* 1/4 (/ 1 (sqrt 1/2))) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 60.374 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (hypot 1 (/ 1 x)))) (+ (* 1/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) 1/4)) in x 60.374 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (hypot 1 (/ 1 x)))) in x 60.374 * [taylor]: Taking taylor expansion of 1/4 in x 60.374 * [backup-simplify]: Simplify 1/4 into 1/4 60.374 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 60.374 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 60.374 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 60.374 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 60.374 * [taylor]: Taking taylor expansion of (* 1 1) in x 60.374 * [taylor]: Taking taylor expansion of 1 in x 60.374 * [backup-simplify]: Simplify 1 into 1 60.374 * [taylor]: Taking taylor expansion of 1 in x 60.374 * [backup-simplify]: Simplify 1 into 1 60.374 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 60.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x 60.374 * [taylor]: Taking taylor expansion of x in x 60.374 * [backup-simplify]: Simplify 0 into 0 60.374 * [backup-simplify]: Simplify 1 into 1 60.375 * [backup-simplify]: Simplify (/ 1 1) into 1 60.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x 60.375 * [taylor]: Taking taylor expansion of x in x 60.375 * [backup-simplify]: Simplify 0 into 0 60.375 * [backup-simplify]: Simplify 1 into 1 60.375 * [backup-simplify]: Simplify (/ 1 1) into 1 60.376 * [backup-simplify]: Simplify (* 1 1) into 1 60.376 * [backup-simplify]: Simplify (+ 0 1) into 1 60.376 * [backup-simplify]: Simplify (sqrt 1) into 1 60.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 60.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 60.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 60.379 * [backup-simplify]: Simplify (+ 0 0) into 0 60.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 60.380 * [backup-simplify]: Simplify (/ 1 1) into 1 60.380 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) 1/4) in x 60.380 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) in x 60.380 * [taylor]: Taking taylor expansion of 1/4 in x 60.380 * [backup-simplify]: Simplify 1/4 into 1/4 60.380 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 2)) in x 60.380 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 2) in x 60.380 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 60.380 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 60.380 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 60.380 * [taylor]: Taking taylor expansion of (* 1 1) in x 60.380 * [taylor]: Taking taylor expansion of 1 in x 60.380 * [backup-simplify]: Simplify 1 into 1 60.380 * [taylor]: Taking taylor expansion of 1 in x 60.380 * [backup-simplify]: Simplify 1 into 1 60.380 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 60.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 60.381 * [taylor]: Taking taylor expansion of x in x 60.381 * [backup-simplify]: Simplify 0 into 0 60.381 * [backup-simplify]: Simplify 1 into 1 60.381 * [backup-simplify]: Simplify (/ 1 1) into 1 60.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 60.381 * [taylor]: Taking taylor expansion of x in x 60.381 * [backup-simplify]: Simplify 0 into 0 60.381 * [backup-simplify]: Simplify 1 into 1 60.381 * [backup-simplify]: Simplify (/ 1 1) into 1 60.382 * [backup-simplify]: Simplify (* 1 1) into 1 60.382 * [backup-simplify]: Simplify (+ 0 1) into 1 60.383 * [backup-simplify]: Simplify (sqrt 1) into 1 60.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 60.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 60.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 60.385 * [backup-simplify]: Simplify (+ 0 0) into 0 60.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 60.386 * [backup-simplify]: Simplify (* 1 1) into 1 60.386 * [backup-simplify]: Simplify (/ 1 1) into 1 60.386 * [taylor]: Taking taylor expansion of 1/4 in x 60.386 * [backup-simplify]: Simplify 1/4 into 1/4 60.387 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 60.387 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 60.390 * [backup-simplify]: Simplify (* (sqrt (+ (sqrt 1/2) 1)) 1/4) into (* 1/4 (sqrt (+ (sqrt 1/2) 1))) 60.392 * [backup-simplify]: Simplify (* 1/4 (sqrt (+ (sqrt 1/2) 1))) into (* 1/4 (sqrt (+ (sqrt 1/2) 1))) 60.393 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 60.393 * [backup-simplify]: Simplify (+ 0 0) into 0 60.393 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 60.405 * [backup-simplify]: Simplify (+ (* (sqrt (+ (sqrt 1/2) 1)) 1/4) (* (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 1/4)) into (+ (* 1/32 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) (* 1/4 (sqrt (+ (sqrt 1/2) 1)))) 60.421 * [backup-simplify]: Simplify (+ (* 1/32 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) (* 1/4 (sqrt (+ (sqrt 1/2) 1)))) into (+ (* 1/32 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) (* 1/4 (sqrt (+ (sqrt 1/2) 1)))) 60.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 60.423 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 60.423 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 60.424 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 60.424 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 60.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 60.426 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 60.426 * [backup-simplify]: Simplify (+ 0 0) into 0 60.431 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 60.433 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 60.445 * [backup-simplify]: Simplify (/ (- (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 2) (+)) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* -1/2 (* (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (* 1/64 (/ 1 (* (+ (sqrt 1/2) 1) (pow (sqrt 1/2) 2))))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) 60.470 * [backup-simplify]: Simplify (+ (* (sqrt (+ (sqrt 1/2) 1)) 1/4) (+ (* (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 1/4) (* (* -1/2 (* (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (* 1/64 (/ 1 (* (+ (sqrt 1/2) 1) (pow (sqrt 1/2) 2))))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) 1/4))) into (- (+ (* 1/32 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) (* 1/4 (sqrt (+ (sqrt 1/2) 1)))) (+ (* 1/256 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (pow (sqrt 1/2) 3)))) (* 1/512 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (pow (sqrt 1/2) 2)))))) 60.489 * [backup-simplify]: Simplify (- (+ (* 1/32 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) (* 1/4 (sqrt (+ (sqrt 1/2) 1)))) (+ (* 1/256 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (pow (sqrt 1/2) 3)))) (* 1/512 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (pow (sqrt 1/2) 2)))))) into (- (+ (* 1/32 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) (* 1/4 (sqrt (+ (sqrt 1/2) 1)))) (+ (* 1/256 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (pow (sqrt 1/2) 3)))) (* 1/512 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (pow (sqrt 1/2) 2)))))) 60.525 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/32 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) (* 1/4 (sqrt (+ (sqrt 1/2) 1)))) (+ (* 1/256 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (pow (sqrt 1/2) 3)))) (* 1/512 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (pow (sqrt 1/2) 2)))))) (pow (/ 1 x) 2)) (+ (* (+ (* 1/32 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) (* 1/4 (sqrt (+ (sqrt 1/2) 1)))) (/ 1 x)) (* 1/4 (sqrt (+ (sqrt 1/2) 1))))) into (- (+ (* 1/4 (* (/ 1 (pow x 2)) (sqrt (+ (sqrt 1/2) 1)))) (+ (* 1/4 (* (/ 1 x) (sqrt (+ (sqrt 1/2) 1)))) (+ (* 1/32 (* (/ 1 (* x (sqrt 1/2))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) (+ (* 1/32 (* (/ 1 (* (pow x 2) (sqrt 1/2))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) (* 1/4 (sqrt (+ (sqrt 1/2) 1))))))) (+ (* 1/512 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))))) (* 1/256 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))))) 60.525 * [backup-simplify]: Simplify (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)))) (+ (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 (/ 1 (- x)))) (/ 1/2 (hypot 1 (/ 1 (- x))))) (* 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))))) into (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (+ (* 1/4 (/ 1 (hypot 1 (/ -1 x)))) (+ 1/4 (* 1/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))))) 60.525 * [approximate]: Taking taylor expansion of (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (+ (* 1/4 (/ 1 (hypot 1 (/ -1 x)))) (+ 1/4 (* 1/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))))) in (x) around 0 60.526 * [taylor]: Taking taylor expansion of (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (+ (* 1/4 (/ 1 (hypot 1 (/ -1 x)))) (+ 1/4 (* 1/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))))) in x 60.526 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 60.526 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 60.526 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 60.526 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 60.526 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 60.526 * [taylor]: Taking taylor expansion of 1/2 in x 60.526 * [backup-simplify]: Simplify 1/2 into 1/2 60.526 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 60.526 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 60.526 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 60.526 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 60.526 * [taylor]: Taking taylor expansion of (* 1 1) in x 60.526 * [taylor]: Taking taylor expansion of 1 in x 60.526 * [backup-simplify]: Simplify 1 into 1 60.526 * [taylor]: Taking taylor expansion of 1 in x 60.526 * [backup-simplify]: Simplify 1 into 1 60.526 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 60.526 * [taylor]: Taking taylor expansion of (/ -1 x) in x 60.526 * [taylor]: Taking taylor expansion of -1 in x 60.526 * [backup-simplify]: Simplify -1 into -1 60.526 * [taylor]: Taking taylor expansion of x in x 60.526 * [backup-simplify]: Simplify 0 into 0 60.526 * [backup-simplify]: Simplify 1 into 1 60.526 * [backup-simplify]: Simplify (/ -1 1) into -1 60.526 * [taylor]: Taking taylor expansion of (/ -1 x) in x 60.526 * [taylor]: Taking taylor expansion of -1 in x 60.526 * [backup-simplify]: Simplify -1 into -1 60.526 * [taylor]: Taking taylor expansion of x in x 60.526 * [backup-simplify]: Simplify 0 into 0 60.526 * [backup-simplify]: Simplify 1 into 1 60.527 * [backup-simplify]: Simplify (/ -1 1) into -1 60.527 * [backup-simplify]: Simplify (* -1 -1) into 1 60.527 * [backup-simplify]: Simplify (+ 0 1) into 1 60.527 * [backup-simplify]: Simplify (sqrt 1) into 1 60.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 60.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 60.529 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 60.529 * [backup-simplify]: Simplify (+ 0 0) into 0 60.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 60.530 * [backup-simplify]: Simplify (/ 1 1) into 1 60.530 * [taylor]: Taking taylor expansion of 1/2 in x 60.530 * [backup-simplify]: Simplify 1/2 into 1/2 60.530 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 60.530 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 60.530 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 60.531 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 60.532 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 60.532 * [taylor]: Taking taylor expansion of 1 in x 60.532 * [backup-simplify]: Simplify 1 into 1 60.532 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 60.533 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1/2) 1)) into (sqrt (+ (sqrt 1/2) 1)) 60.534 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 60.537 * [backup-simplify]: Simplify (/ (* 1/4 (/ 1 (sqrt 1/2))) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 60.537 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (hypot 1 (/ -1 x)))) (+ 1/4 (* 1/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2))))) in x 60.537 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (hypot 1 (/ -1 x)))) in x 60.537 * [taylor]: Taking taylor expansion of 1/4 in x 60.537 * [backup-simplify]: Simplify 1/4 into 1/4 60.537 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 60.537 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 60.537 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 60.537 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 60.537 * [taylor]: Taking taylor expansion of (* 1 1) in x 60.537 * [taylor]: Taking taylor expansion of 1 in x 60.537 * [backup-simplify]: Simplify 1 into 1 60.537 * [taylor]: Taking taylor expansion of 1 in x 60.537 * [backup-simplify]: Simplify 1 into 1 60.537 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 60.537 * [taylor]: Taking taylor expansion of (/ -1 x) in x 60.537 * [taylor]: Taking taylor expansion of -1 in x 60.537 * [backup-simplify]: Simplify -1 into -1 60.537 * [taylor]: Taking taylor expansion of x in x 60.537 * [backup-simplify]: Simplify 0 into 0 60.537 * [backup-simplify]: Simplify 1 into 1 60.538 * [backup-simplify]: Simplify (/ -1 1) into -1 60.538 * [taylor]: Taking taylor expansion of (/ -1 x) in x 60.538 * [taylor]: Taking taylor expansion of -1 in x 60.538 * [backup-simplify]: Simplify -1 into -1 60.538 * [taylor]: Taking taylor expansion of x in x 60.538 * [backup-simplify]: Simplify 0 into 0 60.538 * [backup-simplify]: Simplify 1 into 1 60.538 * [backup-simplify]: Simplify (/ -1 1) into -1 60.538 * [backup-simplify]: Simplify (* -1 -1) into 1 60.538 * [backup-simplify]: Simplify (+ 0 1) into 1 60.539 * [backup-simplify]: Simplify (sqrt 1) into 1 60.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 60.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 60.540 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 60.540 * [backup-simplify]: Simplify (+ 0 0) into 0 60.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 60.541 * [backup-simplify]: Simplify (/ 1 1) into 1 60.541 * [taylor]: Taking taylor expansion of (+ 1/4 (* 1/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))) in x 60.541 * [taylor]: Taking taylor expansion of 1/4 in x 60.541 * [backup-simplify]: Simplify 1/4 into 1/4 60.541 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2))) in x 60.541 * [taylor]: Taking taylor expansion of 1/4 in x 60.541 * [backup-simplify]: Simplify 1/4 into 1/4 60.541 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 2)) in x 60.541 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 2) in x 60.541 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 60.541 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 60.541 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 60.541 * [taylor]: Taking taylor expansion of (* 1 1) in x 60.541 * [taylor]: Taking taylor expansion of 1 in x 60.541 * [backup-simplify]: Simplify 1 into 1 60.541 * [taylor]: Taking taylor expansion of 1 in x 60.541 * [backup-simplify]: Simplify 1 into 1 60.541 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 60.541 * [taylor]: Taking taylor expansion of (/ -1 x) in x 60.541 * [taylor]: Taking taylor expansion of -1 in x 60.541 * [backup-simplify]: Simplify -1 into -1 60.541 * [taylor]: Taking taylor expansion of x in x 60.541 * [backup-simplify]: Simplify 0 into 0 60.541 * [backup-simplify]: Simplify 1 into 1 60.542 * [backup-simplify]: Simplify (/ -1 1) into -1 60.542 * [taylor]: Taking taylor expansion of (/ -1 x) in x 60.542 * [taylor]: Taking taylor expansion of -1 in x 60.542 * [backup-simplify]: Simplify -1 into -1 60.542 * [taylor]: Taking taylor expansion of x in x 60.542 * [backup-simplify]: Simplify 0 into 0 60.542 * [backup-simplify]: Simplify 1 into 1 60.542 * [backup-simplify]: Simplify (/ -1 1) into -1 60.542 * [backup-simplify]: Simplify (* -1 -1) into 1 60.542 * [backup-simplify]: Simplify (+ 0 1) into 1 60.543 * [backup-simplify]: Simplify (sqrt 1) into 1 60.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 60.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 60.545 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 60.545 * [backup-simplify]: Simplify (+ 0 0) into 0 60.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 60.546 * [backup-simplify]: Simplify (* 1 1) into 1 60.547 * [backup-simplify]: Simplify (/ 1 1) into 1 60.547 * [taylor]: Taking taylor expansion of (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (+ (* 1/4 (/ 1 (hypot 1 (/ -1 x)))) (+ 1/4 (* 1/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))))) in x 60.547 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 60.547 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 60.547 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 60.547 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 60.547 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 60.547 * [taylor]: Taking taylor expansion of 1/2 in x 60.547 * [backup-simplify]: Simplify 1/2 into 1/2 60.547 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 60.547 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 60.547 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 60.547 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 60.547 * [taylor]: Taking taylor expansion of (* 1 1) in x 60.547 * [taylor]: Taking taylor expansion of 1 in x 60.547 * [backup-simplify]: Simplify 1 into 1 60.547 * [taylor]: Taking taylor expansion of 1 in x 60.547 * [backup-simplify]: Simplify 1 into 1 60.547 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 60.547 * [taylor]: Taking taylor expansion of (/ -1 x) in x 60.547 * [taylor]: Taking taylor expansion of -1 in x 60.547 * [backup-simplify]: Simplify -1 into -1 60.547 * [taylor]: Taking taylor expansion of x in x 60.547 * [backup-simplify]: Simplify 0 into 0 60.547 * [backup-simplify]: Simplify 1 into 1 60.548 * [backup-simplify]: Simplify (/ -1 1) into -1 60.548 * [taylor]: Taking taylor expansion of (/ -1 x) in x 60.548 * [taylor]: Taking taylor expansion of -1 in x 60.548 * [backup-simplify]: Simplify -1 into -1 60.548 * [taylor]: Taking taylor expansion of x in x 60.548 * [backup-simplify]: Simplify 0 into 0 60.548 * [backup-simplify]: Simplify 1 into 1 60.549 * [backup-simplify]: Simplify (/ -1 1) into -1 60.549 * [backup-simplify]: Simplify (* -1 -1) into 1 60.549 * [backup-simplify]: Simplify (+ 0 1) into 1 60.550 * [backup-simplify]: Simplify (sqrt 1) into 1 60.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 60.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 60.552 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 60.553 * [backup-simplify]: Simplify (+ 0 0) into 0 60.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 60.554 * [backup-simplify]: Simplify (/ 1 1) into 1 60.554 * [taylor]: Taking taylor expansion of 1/2 in x 60.554 * [backup-simplify]: Simplify 1/2 into 1/2 60.554 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 60.555 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 60.555 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 60.555 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 60.557 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 60.557 * [taylor]: Taking taylor expansion of 1 in x 60.557 * [backup-simplify]: Simplify 1 into 1 60.558 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 60.559 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1/2) 1)) into (sqrt (+ (sqrt 1/2) 1)) 60.560 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 60.563 * [backup-simplify]: Simplify (/ (* 1/4 (/ 1 (sqrt 1/2))) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 60.563 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (hypot 1 (/ -1 x)))) (+ 1/4 (* 1/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2))))) in x 60.563 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (hypot 1 (/ -1 x)))) in x 60.563 * [taylor]: Taking taylor expansion of 1/4 in x 60.563 * [backup-simplify]: Simplify 1/4 into 1/4 60.563 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 60.563 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 60.563 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 60.563 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 60.563 * [taylor]: Taking taylor expansion of (* 1 1) in x 60.563 * [taylor]: Taking taylor expansion of 1 in x 60.563 * [backup-simplify]: Simplify 1 into 1 60.563 * [taylor]: Taking taylor expansion of 1 in x 60.563 * [backup-simplify]: Simplify 1 into 1 60.563 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 60.563 * [taylor]: Taking taylor expansion of (/ -1 x) in x 60.563 * [taylor]: Taking taylor expansion of -1 in x 60.563 * [backup-simplify]: Simplify -1 into -1 60.563 * [taylor]: Taking taylor expansion of x in x 60.563 * [backup-simplify]: Simplify 0 into 0 60.563 * [backup-simplify]: Simplify 1 into 1 60.564 * [backup-simplify]: Simplify (/ -1 1) into -1 60.564 * [taylor]: Taking taylor expansion of (/ -1 x) in x 60.564 * [taylor]: Taking taylor expansion of -1 in x 60.564 * [backup-simplify]: Simplify -1 into -1 60.564 * [taylor]: Taking taylor expansion of x in x 60.564 * [backup-simplify]: Simplify 0 into 0 60.564 * [backup-simplify]: Simplify 1 into 1 60.564 * [backup-simplify]: Simplify (/ -1 1) into -1 60.564 * [backup-simplify]: Simplify (* -1 -1) into 1 60.565 * [backup-simplify]: Simplify (+ 0 1) into 1 60.565 * [backup-simplify]: Simplify (sqrt 1) into 1 60.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 60.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 60.566 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 60.566 * [backup-simplify]: Simplify (+ 0 0) into 0 60.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 60.567 * [backup-simplify]: Simplify (/ 1 1) into 1 60.567 * [taylor]: Taking taylor expansion of (+ 1/4 (* 1/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))) in x 60.567 * [taylor]: Taking taylor expansion of 1/4 in x 60.567 * [backup-simplify]: Simplify 1/4 into 1/4 60.567 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2))) in x 60.567 * [taylor]: Taking taylor expansion of 1/4 in x 60.567 * [backup-simplify]: Simplify 1/4 into 1/4 60.567 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 2)) in x 60.567 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 2) in x 60.567 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 60.567 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 60.567 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 60.567 * [taylor]: Taking taylor expansion of (* 1 1) in x 60.567 * [taylor]: Taking taylor expansion of 1 in x 60.567 * [backup-simplify]: Simplify 1 into 1 60.567 * [taylor]: Taking taylor expansion of 1 in x 60.567 * [backup-simplify]: Simplify 1 into 1 60.567 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 60.567 * [taylor]: Taking taylor expansion of (/ -1 x) in x 60.567 * [taylor]: Taking taylor expansion of -1 in x 60.567 * [backup-simplify]: Simplify -1 into -1 60.567 * [taylor]: Taking taylor expansion of x in x 60.567 * [backup-simplify]: Simplify 0 into 0 60.567 * [backup-simplify]: Simplify 1 into 1 60.568 * [backup-simplify]: Simplify (/ -1 1) into -1 60.568 * [taylor]: Taking taylor expansion of (/ -1 x) in x 60.568 * [taylor]: Taking taylor expansion of -1 in x 60.568 * [backup-simplify]: Simplify -1 into -1 60.568 * [taylor]: Taking taylor expansion of x in x 60.568 * [backup-simplify]: Simplify 0 into 0 60.568 * [backup-simplify]: Simplify 1 into 1 60.568 * [backup-simplify]: Simplify (/ -1 1) into -1 60.568 * [backup-simplify]: Simplify (* -1 -1) into 1 60.569 * [backup-simplify]: Simplify (+ 0 1) into 1 60.569 * [backup-simplify]: Simplify (sqrt 1) into 1 60.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 60.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 60.570 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 60.570 * [backup-simplify]: Simplify (+ 0 0) into 0 60.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 60.571 * [backup-simplify]: Simplify (* 1 1) into 1 60.571 * [backup-simplify]: Simplify (/ 1 1) into 1 60.572 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 60.572 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 60.573 * [backup-simplify]: Simplify (* (sqrt (+ (sqrt 1/2) 1)) 1/4) into (* 1/4 (sqrt (+ (sqrt 1/2) 1))) 60.574 * [backup-simplify]: Simplify (* 1/4 (sqrt (+ (sqrt 1/2) 1))) into (* 1/4 (sqrt (+ (sqrt 1/2) 1))) 60.575 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 60.575 * [backup-simplify]: Simplify (+ 0 0) into 0 60.575 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 60.582 * [backup-simplify]: Simplify (+ (* (sqrt (+ (sqrt 1/2) 1)) 1/4) (* (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 1/4)) into (+ (* 1/32 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) (* 1/4 (sqrt (+ (sqrt 1/2) 1)))) 60.587 * [backup-simplify]: Simplify (+ (* 1/32 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) (* 1/4 (sqrt (+ (sqrt 1/2) 1)))) into (+ (* 1/32 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) (* 1/4 (sqrt (+ (sqrt 1/2) 1)))) 60.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 60.588 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 60.589 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 60.589 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 60.590 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 60.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 60.591 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 60.592 * [backup-simplify]: Simplify (+ 0 0) into 0 60.597 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 60.600 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 60.625 * [backup-simplify]: Simplify (/ (- (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 2) (+)) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* -1/2 (* (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (* 1/64 (/ 1 (* (+ (sqrt 1/2) 1) (pow (sqrt 1/2) 2))))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) 60.649 * [backup-simplify]: Simplify (+ (* (sqrt (+ (sqrt 1/2) 1)) 1/4) (+ (* (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 1/4) (* (* -1/2 (* (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (* 1/64 (/ 1 (* (+ (sqrt 1/2) 1) (pow (sqrt 1/2) 2))))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) 1/4))) into (- (+ (* 1/32 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) (* 1/4 (sqrt (+ (sqrt 1/2) 1)))) (+ (* 1/256 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (pow (sqrt 1/2) 3)))) (* 1/512 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (pow (sqrt 1/2) 2)))))) 60.675 * [backup-simplify]: Simplify (- (+ (* 1/32 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) (* 1/4 (sqrt (+ (sqrt 1/2) 1)))) (+ (* 1/256 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (pow (sqrt 1/2) 3)))) (* 1/512 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (pow (sqrt 1/2) 2)))))) into (- (+ (* 1/32 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) (* 1/4 (sqrt (+ (sqrt 1/2) 1)))) (+ (* 1/256 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (pow (sqrt 1/2) 3)))) (* 1/512 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (pow (sqrt 1/2) 2)))))) 60.713 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/32 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) (* 1/4 (sqrt (+ (sqrt 1/2) 1)))) (+ (* 1/256 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (pow (sqrt 1/2) 3)))) (* 1/512 (* (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))) (/ 1 (pow (sqrt 1/2) 2)))))) (pow (/ 1 (- x)) 2)) (+ (* (+ (* 1/32 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) (* 1/4 (sqrt (+ (sqrt 1/2) 1)))) (/ 1 (- x))) (* 1/4 (sqrt (+ (sqrt 1/2) 1))))) into (- (+ (* 1/4 (* (/ 1 (pow x 2)) (sqrt (+ (sqrt 1/2) 1)))) (+ (* 1/32 (* (/ 1 (* (pow x 2) (sqrt 1/2))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) (* 1/4 (sqrt (+ (sqrt 1/2) 1))))) (+ (* 1/512 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))))) (+ (* 1/256 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) (+ (* 1/4 (* (/ 1 x) (sqrt (+ (sqrt 1/2) 1)))) (* 1/32 (* (/ 1 (* x (sqrt 1/2))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))))))) 60.713 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 60.713 * [backup-simplify]: Simplify (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) into (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) 60.713 * [approximate]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) in (x) around 0 60.713 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) in x 60.713 * [taylor]: Taking taylor expansion of 1/8 in x 60.713 * [backup-simplify]: Simplify 1/8 into 1/8 60.713 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 x) 3))) in x 60.713 * [taylor]: Taking taylor expansion of 1/8 in x 60.713 * [backup-simplify]: Simplify 1/8 into 1/8 60.713 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 3)) in x 60.713 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 60.713 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 60.713 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 60.713 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 60.713 * [taylor]: Taking taylor expansion of (* 1 1) in x 60.714 * [taylor]: Taking taylor expansion of 1 in x 60.714 * [backup-simplify]: Simplify 1 into 1 60.714 * [taylor]: Taking taylor expansion of 1 in x 60.714 * [backup-simplify]: Simplify 1 into 1 60.714 * [taylor]: Taking taylor expansion of (* x x) in x 60.714 * [taylor]: Taking taylor expansion of x in x 60.714 * [backup-simplify]: Simplify 0 into 0 60.714 * [backup-simplify]: Simplify 1 into 1 60.714 * [taylor]: Taking taylor expansion of x in x 60.714 * [backup-simplify]: Simplify 0 into 0 60.714 * [backup-simplify]: Simplify 1 into 1 60.714 * [backup-simplify]: Simplify (* 1 1) into 1 60.715 * [backup-simplify]: Simplify (* 0 0) into 0 60.715 * [backup-simplify]: Simplify (+ 1 0) into 1 60.715 * [backup-simplify]: Simplify (sqrt 1) into 1 60.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 60.717 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 60.717 * [backup-simplify]: Simplify (+ 0 0) into 0 60.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 60.718 * [backup-simplify]: Simplify (* 1 1) into 1 60.718 * [backup-simplify]: Simplify (* 1 1) into 1 60.719 * [backup-simplify]: Simplify (/ 1 1) into 1 60.719 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) in x 60.719 * [taylor]: Taking taylor expansion of 1/8 in x 60.719 * [backup-simplify]: Simplify 1/8 into 1/8 60.719 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 x) 3))) in x 60.719 * [taylor]: Taking taylor expansion of 1/8 in x 60.719 * [backup-simplify]: Simplify 1/8 into 1/8 60.719 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 3)) in x 60.719 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 60.719 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 60.719 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 60.719 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 60.719 * [taylor]: Taking taylor expansion of (* 1 1) in x 60.720 * [taylor]: Taking taylor expansion of 1 in x 60.720 * [backup-simplify]: Simplify 1 into 1 60.720 * [taylor]: Taking taylor expansion of 1 in x 60.720 * [backup-simplify]: Simplify 1 into 1 60.720 * [taylor]: Taking taylor expansion of (* x x) in x 60.720 * [taylor]: Taking taylor expansion of x in x 60.720 * [backup-simplify]: Simplify 0 into 0 60.720 * [backup-simplify]: Simplify 1 into 1 60.720 * [taylor]: Taking taylor expansion of x in x 60.720 * [backup-simplify]: Simplify 0 into 0 60.720 * [backup-simplify]: Simplify 1 into 1 60.720 * [backup-simplify]: Simplify (* 1 1) into 1 60.720 * [backup-simplify]: Simplify (* 0 0) into 0 60.721 * [backup-simplify]: Simplify (+ 1 0) into 1 60.721 * [backup-simplify]: Simplify (sqrt 1) into 1 60.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 60.723 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 60.723 * [backup-simplify]: Simplify (+ 0 0) into 0 60.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 60.724 * [backup-simplify]: Simplify (* 1 1) into 1 60.724 * [backup-simplify]: Simplify (* 1 1) into 1 60.725 * [backup-simplify]: Simplify (/ 1 1) into 1 60.725 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 60.726 * [backup-simplify]: Simplify (- 1/8) into -1/8 60.726 * [backup-simplify]: Simplify (+ 1/8 -1/8) into 0 60.726 * [backup-simplify]: Simplify 0 into 0 60.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 60.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 60.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 60.729 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 60.729 * [backup-simplify]: Simplify (- 0) into 0 60.730 * [backup-simplify]: Simplify (+ 0 0) into 0 60.730 * [backup-simplify]: Simplify 0 into 0 60.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 60.731 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 60.732 * [backup-simplify]: Simplify (+ 0 1) into 1 60.732 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 60.733 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 60.733 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 60.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/2 60.734 * [backup-simplify]: Simplify (+ (* 1/8 -3/2) (+ (* 0 0) (* 0 1))) into -3/16 60.735 * [backup-simplify]: Simplify (- -3/16) into 3/16 60.735 * [backup-simplify]: Simplify (+ 0 3/16) into 3/16 60.735 * [backup-simplify]: Simplify 3/16 into 3/16 60.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 60.736 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 60.736 * [backup-simplify]: Simplify (+ 0 0) into 0 60.737 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 60.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 60.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 60.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 3/2 1)) (* -3/2 (/ 0 1)))) into 0 60.740 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))) into 0 60.740 * [backup-simplify]: Simplify (- 0) into 0 60.740 * [backup-simplify]: Simplify (+ 0 0) into 0 60.740 * [backup-simplify]: Simplify 0 into 0 60.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 60.742 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 60.742 * [backup-simplify]: Simplify (+ 0 0) into 0 60.743 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 60.744 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 60.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 60.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/8 1)) (* 0 (/ 0 1)) (* -3/2 (/ 3/2 1)) (* 0 (/ 0 1)))) into 15/8 60.747 * [backup-simplify]: Simplify (+ (* 1/8 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))) into 15/64 60.747 * [backup-simplify]: Simplify (- 15/64) into -15/64 60.747 * [backup-simplify]: Simplify (+ 0 -15/64) into -15/64 60.747 * [backup-simplify]: Simplify -15/64 into -15/64 60.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 60.749 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 60.749 * [backup-simplify]: Simplify (+ 0 0) into 0 60.750 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 60.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* 1/2 0) (+ (* 0 1/2) (+ (* -1/8 0) (* 0 1)))))) into 0 60.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 1) (+ (* -1/8 0) (* 0 1)))))) into 0 60.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 3/8 1)) (* -3/2 (/ 0 1)) (* 0 (/ 3/2 1)) (* 15/8 (/ 0 1)))) into 0 60.755 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))))) into 0 60.755 * [backup-simplify]: Simplify (- 0) into 0 60.755 * [backup-simplify]: Simplify (+ 0 0) into 0 60.755 * [backup-simplify]: Simplify 0 into 0 60.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 60.757 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 60.757 * [backup-simplify]: Simplify (+ 0 0) into 0 60.758 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 60.759 * [backup-simplify]: Simplify (+ (* 1 1/16) (+ (* 0 0) (+ (* 1/2 -1/8) (+ (* 0 0) (+ (* -1/8 1/2) (+ (* 0 0) (* 1/16 1))))))) into 0 60.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* -1/8 1) (+ (* 0 0) (* 1/16 1))))))) into -1/16 60.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/16 1)) (* 0 (/ 0 1)) (* -3/2 (/ 3/8 1)) (* 0 (/ 0 1)) (* 15/8 (/ 3/2 1)) (* 0 (/ 0 1)))) into -35/16 60.767 * [backup-simplify]: Simplify (+ (* 1/8 -35/16) (+ (* 0 0) (+ (* 0 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))))) into -35/128 60.767 * [backup-simplify]: Simplify (- -35/128) into 35/128 60.768 * [backup-simplify]: Simplify (+ 0 35/128) into 35/128 60.768 * [backup-simplify]: Simplify 35/128 into 35/128 60.768 * [backup-simplify]: Simplify (+ (* 35/128 (pow x 6)) (+ (* -15/64 (pow x 4)) (* 3/16 (pow x 2)))) into (- (+ (* 3/16 (pow x 2)) (* 35/128 (pow x 6))) (* 15/64 (pow x 4))) 60.769 * [backup-simplify]: Simplify (- 1/8 (/ 1/8 (* (* (hypot 1 (/ 1 x)) (hypot 1 (/ 1 x))) (hypot 1 (/ 1 x))))) into (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) 60.769 * [approximate]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) in (x) around 0 60.769 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) in x 60.769 * [taylor]: Taking taylor expansion of 1/8 in x 60.769 * [backup-simplify]: Simplify 1/8 into 1/8 60.769 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))) in x 60.769 * [taylor]: Taking taylor expansion of 1/8 in x 60.769 * [backup-simplify]: Simplify 1/8 into 1/8 60.769 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 3)) in x 60.769 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 60.769 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 60.769 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 60.769 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 60.769 * [taylor]: Taking taylor expansion of (* 1 1) in x 60.769 * [taylor]: Taking taylor expansion of 1 in x 60.769 * [backup-simplify]: Simplify 1 into 1 60.770 * [taylor]: Taking taylor expansion of 1 in x 60.770 * [backup-simplify]: Simplify 1 into 1 60.770 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 60.770 * [taylor]: Taking taylor expansion of (/ 1 x) in x 60.770 * [taylor]: Taking taylor expansion of x in x 60.770 * [backup-simplify]: Simplify 0 into 0 60.770 * [backup-simplify]: Simplify 1 into 1 60.770 * [backup-simplify]: Simplify (/ 1 1) into 1 60.770 * [taylor]: Taking taylor expansion of (/ 1 x) in x 60.770 * [taylor]: Taking taylor expansion of x in x 60.770 * [backup-simplify]: Simplify 0 into 0 60.770 * [backup-simplify]: Simplify 1 into 1 60.771 * [backup-simplify]: Simplify (/ 1 1) into 1 60.771 * [backup-simplify]: Simplify (* 1 1) into 1 60.772 * [backup-simplify]: Simplify (+ 0 1) into 1 60.772 * [backup-simplify]: Simplify (sqrt 1) into 1 60.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 60.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 60.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 60.774 * [backup-simplify]: Simplify (+ 0 0) into 0 60.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 60.775 * [backup-simplify]: Simplify (* 1 1) into 1 60.776 * [backup-simplify]: Simplify (* 1 1) into 1 60.776 * [backup-simplify]: Simplify (/ 1 1) into 1 60.776 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) in x 60.776 * [taylor]: Taking taylor expansion of 1/8 in x 60.776 * [backup-simplify]: Simplify 1/8 into 1/8 60.776 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))) in x 60.776 * [taylor]: Taking taylor expansion of 1/8 in x 60.776 * [backup-simplify]: Simplify 1/8 into 1/8 60.776 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 3)) in x 60.776 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 60.776 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 60.776 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 60.776 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 60.776 * [taylor]: Taking taylor expansion of (* 1 1) in x 60.776 * [taylor]: Taking taylor expansion of 1 in x 60.776 * [backup-simplify]: Simplify 1 into 1 60.776 * [taylor]: Taking taylor expansion of 1 in x 60.776 * [backup-simplify]: Simplify 1 into 1 60.776 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 60.776 * [taylor]: Taking taylor expansion of (/ 1 x) in x 60.776 * [taylor]: Taking taylor expansion of x in x 60.776 * [backup-simplify]: Simplify 0 into 0 60.776 * [backup-simplify]: Simplify 1 into 1 60.777 * [backup-simplify]: Simplify (/ 1 1) into 1 60.777 * [taylor]: Taking taylor expansion of (/ 1 x) in x 60.777 * [taylor]: Taking taylor expansion of x in x 60.777 * [backup-simplify]: Simplify 0 into 0 60.777 * [backup-simplify]: Simplify 1 into 1 60.777 * [backup-simplify]: Simplify (/ 1 1) into 1 60.777 * [backup-simplify]: Simplify (* 1 1) into 1 60.778 * [backup-simplify]: Simplify (+ 0 1) into 1 60.778 * [backup-simplify]: Simplify (sqrt 1) into 1 60.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 60.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 60.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 60.779 * [backup-simplify]: Simplify (+ 0 0) into 0 60.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 60.780 * [backup-simplify]: Simplify (* 1 1) into 1 60.780 * [backup-simplify]: Simplify (* 1 1) into 1 60.780 * [backup-simplify]: Simplify (/ 1 1) into 1 60.781 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 60.781 * [backup-simplify]: Simplify 1/8 into 1/8 60.781 * [backup-simplify]: Simplify (+ 0 0) into 0 60.781 * [backup-simplify]: Simplify 0 into 0 60.781 * [backup-simplify]: Simplify (+ 0 0) into 0 60.781 * [backup-simplify]: Simplify 0 into 0 60.782 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 60.782 * [backup-simplify]: Simplify (- 1/8) into -1/8 60.782 * [backup-simplify]: Simplify (+ 0 -1/8) into -1/8 60.782 * [backup-simplify]: Simplify -1/8 into -1/8 60.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 60.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 60.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 60.784 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 60.784 * [backup-simplify]: Simplify (- 0) into 0 60.784 * [backup-simplify]: Simplify (+ 0 0) into 0 60.784 * [backup-simplify]: Simplify 0 into 0 60.785 * [backup-simplify]: Simplify (* 1 1) into 1 60.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 60.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 60.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 60.786 * [backup-simplify]: Simplify (+ 1 0) into 1 60.787 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 60.788 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 60.788 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 60.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/2 60.789 * [backup-simplify]: Simplify (+ (* 1/8 -3/2) (+ (* 0 0) (* 0 1))) into -3/16 60.790 * [backup-simplify]: Simplify (- -3/16) into 3/16 60.790 * [backup-simplify]: Simplify (+ 0 3/16) into 3/16 60.790 * [backup-simplify]: Simplify 3/16 into 3/16 60.790 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 x) 5)) (+ (* -1/8 (pow (/ 1 x) 3)) 1/8)) into (- (+ (* 3/16 (/ 1 (pow x 5))) 1/8) (* 1/8 (/ 1 (pow x 3)))) 60.790 * [backup-simplify]: Simplify (- 1/8 (/ 1/8 (* (* (hypot 1 (/ 1 (- x))) (hypot 1 (/ 1 (- x)))) (hypot 1 (/ 1 (- x)))))) into (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) 60.790 * [approximate]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) in (x) around 0 60.791 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) in x 60.791 * [taylor]: Taking taylor expansion of 1/8 in x 60.791 * [backup-simplify]: Simplify 1/8 into 1/8 60.791 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) in x 60.791 * [taylor]: Taking taylor expansion of 1/8 in x 60.791 * [backup-simplify]: Simplify 1/8 into 1/8 60.791 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 3)) in x 60.791 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 60.791 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 60.791 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 60.791 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 60.791 * [taylor]: Taking taylor expansion of (* 1 1) in x 60.791 * [taylor]: Taking taylor expansion of 1 in x 60.791 * [backup-simplify]: Simplify 1 into 1 60.791 * [taylor]: Taking taylor expansion of 1 in x 60.791 * [backup-simplify]: Simplify 1 into 1 60.791 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 60.791 * [taylor]: Taking taylor expansion of (/ -1 x) in x 60.791 * [taylor]: Taking taylor expansion of -1 in x 60.791 * [backup-simplify]: Simplify -1 into -1 60.791 * [taylor]: Taking taylor expansion of x in x 60.791 * [backup-simplify]: Simplify 0 into 0 60.791 * [backup-simplify]: Simplify 1 into 1 60.792 * [backup-simplify]: Simplify (/ -1 1) into -1 60.792 * [taylor]: Taking taylor expansion of (/ -1 x) in x 60.792 * [taylor]: Taking taylor expansion of -1 in x 60.792 * [backup-simplify]: Simplify -1 into -1 60.792 * [taylor]: Taking taylor expansion of x in x 60.792 * [backup-simplify]: Simplify 0 into 0 60.792 * [backup-simplify]: Simplify 1 into 1 60.792 * [backup-simplify]: Simplify (/ -1 1) into -1 60.792 * [backup-simplify]: Simplify (* -1 -1) into 1 60.792 * [backup-simplify]: Simplify (+ 0 1) into 1 60.793 * [backup-simplify]: Simplify (sqrt 1) into 1 60.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 60.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 60.794 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 60.794 * [backup-simplify]: Simplify (+ 0 0) into 0 60.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 60.795 * [backup-simplify]: Simplify (* 1 1) into 1 60.795 * [backup-simplify]: Simplify (* 1 1) into 1 60.796 * [backup-simplify]: Simplify (/ 1 1) into 1 60.796 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) in x 60.796 * [taylor]: Taking taylor expansion of 1/8 in x 60.796 * [backup-simplify]: Simplify 1/8 into 1/8 60.796 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) in x 60.796 * [taylor]: Taking taylor expansion of 1/8 in x 60.796 * [backup-simplify]: Simplify 1/8 into 1/8 60.796 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 3)) in x 60.796 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 60.796 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 60.796 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 60.796 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 60.796 * [taylor]: Taking taylor expansion of (* 1 1) in x 60.796 * [taylor]: Taking taylor expansion of 1 in x 60.796 * [backup-simplify]: Simplify 1 into 1 60.796 * [taylor]: Taking taylor expansion of 1 in x 60.796 * [backup-simplify]: Simplify 1 into 1 60.796 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 60.796 * [taylor]: Taking taylor expansion of (/ -1 x) in x 60.796 * [taylor]: Taking taylor expansion of -1 in x 60.796 * [backup-simplify]: Simplify -1 into -1 60.796 * [taylor]: Taking taylor expansion of x in x 60.796 * [backup-simplify]: Simplify 0 into 0 60.796 * [backup-simplify]: Simplify 1 into 1 60.796 * [backup-simplify]: Simplify (/ -1 1) into -1 60.796 * [taylor]: Taking taylor expansion of (/ -1 x) in x 60.796 * [taylor]: Taking taylor expansion of -1 in x 60.796 * [backup-simplify]: Simplify -1 into -1 60.796 * [taylor]: Taking taylor expansion of x in x 60.796 * [backup-simplify]: Simplify 0 into 0 60.796 * [backup-simplify]: Simplify 1 into 1 60.797 * [backup-simplify]: Simplify (/ -1 1) into -1 60.797 * [backup-simplify]: Simplify (* -1 -1) into 1 60.797 * [backup-simplify]: Simplify (+ 0 1) into 1 60.798 * [backup-simplify]: Simplify (sqrt 1) into 1 60.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 60.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 60.799 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 60.799 * [backup-simplify]: Simplify (+ 0 0) into 0 60.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 60.800 * [backup-simplify]: Simplify (* 1 1) into 1 60.800 * [backup-simplify]: Simplify (* 1 1) into 1 60.800 * [backup-simplify]: Simplify (/ 1 1) into 1 60.800 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 60.801 * [backup-simplify]: Simplify 1/8 into 1/8 60.801 * [backup-simplify]: Simplify (+ 0 0) into 0 60.801 * [backup-simplify]: Simplify 0 into 0 60.801 * [backup-simplify]: Simplify (+ 0 0) into 0 60.801 * [backup-simplify]: Simplify 0 into 0 60.801 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 60.802 * [backup-simplify]: Simplify (- 1/8) into -1/8 60.802 * [backup-simplify]: Simplify (+ 0 -1/8) into -1/8 60.802 * [backup-simplify]: Simplify -1/8 into -1/8 60.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 60.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 60.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 60.803 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 60.804 * [backup-simplify]: Simplify (- 0) into 0 60.804 * [backup-simplify]: Simplify (+ 0 0) into 0 60.804 * [backup-simplify]: Simplify 0 into 0 60.804 * [backup-simplify]: Simplify (* 1 1) into 1 60.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 60.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 60.806 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 60.806 * [backup-simplify]: Simplify (+ 1 0) into 1 60.807 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 60.807 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 60.808 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 60.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/2 60.809 * [backup-simplify]: Simplify (+ (* 1/8 -3/2) (+ (* 0 0) (* 0 1))) into -3/16 60.813 * [backup-simplify]: Simplify (- -3/16) into 3/16 60.814 * [backup-simplify]: Simplify (+ 0 3/16) into 3/16 60.814 * [backup-simplify]: Simplify 3/16 into 3/16 60.814 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 (- x)) 5)) (+ (* -1/8 (pow (/ 1 (- x)) 3)) 1/8)) into (- (+ (* 1/8 (/ 1 (pow x 3))) 1/8) (* 3/16 (/ 1 (pow x 5)))) 60.814 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 2 1) 60.814 * [backup-simplify]: Simplify (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) into (/ 1/4 (pow (hypot 1 x) 2)) 60.814 * [approximate]: Taking taylor expansion of (/ 1/4 (pow (hypot 1 x) 2)) in (x) around 0 60.814 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (hypot 1 x) 2)) in x 60.814 * [taylor]: Taking taylor expansion of 1/4 in x 60.814 * [backup-simplify]: Simplify 1/4 into 1/4 60.814 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 2) in x 60.814 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 60.815 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 60.815 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 60.815 * [taylor]: Taking taylor expansion of (* 1 1) in x 60.815 * [taylor]: Taking taylor expansion of 1 in x 60.815 * [backup-simplify]: Simplify 1 into 1 60.815 * [taylor]: Taking taylor expansion of 1 in x 60.815 * [backup-simplify]: Simplify 1 into 1 60.815 * [taylor]: Taking taylor expansion of (* x x) in x 60.815 * [taylor]: Taking taylor expansion of x in x 60.815 * [backup-simplify]: Simplify 0 into 0 60.815 * [backup-simplify]: Simplify 1 into 1 60.815 * [taylor]: Taking taylor expansion of x in x 60.815 * [backup-simplify]: Simplify 0 into 0 60.815 * [backup-simplify]: Simplify 1 into 1 60.815 * [backup-simplify]: Simplify (* 1 1) into 1 60.815 * [backup-simplify]: Simplify (* 0 0) into 0 60.816 * [backup-simplify]: Simplify (+ 1 0) into 1 60.816 * [backup-simplify]: Simplify (sqrt 1) into 1 60.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 60.816 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 60.817 * [backup-simplify]: Simplify (+ 0 0) into 0 60.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 60.817 * [backup-simplify]: Simplify (* 1 1) into 1 60.818 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 60.818 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (hypot 1 x) 2)) in x 60.818 * [taylor]: Taking taylor expansion of 1/4 in x 60.818 * [backup-simplify]: Simplify 1/4 into 1/4 60.818 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 2) in x 60.818 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 60.818 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 60.818 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 60.818 * [taylor]: Taking taylor expansion of (* 1 1) in x 60.818 * [taylor]: Taking taylor expansion of 1 in x 60.818 * [backup-simplify]: Simplify 1 into 1 60.818 * [taylor]: Taking taylor expansion of 1 in x 60.818 * [backup-simplify]: Simplify 1 into 1 60.818 * [taylor]: Taking taylor expansion of (* x x) in x 60.818 * [taylor]: Taking taylor expansion of x in x 60.818 * [backup-simplify]: Simplify 0 into 0 60.818 * [backup-simplify]: Simplify 1 into 1 60.818 * [taylor]: Taking taylor expansion of x in x 60.818 * [backup-simplify]: Simplify 0 into 0 60.818 * [backup-simplify]: Simplify 1 into 1 60.818 * [backup-simplify]: Simplify (* 1 1) into 1 60.818 * [backup-simplify]: Simplify (* 0 0) into 0 60.819 * [backup-simplify]: Simplify (+ 1 0) into 1 60.819 * [backup-simplify]: Simplify (sqrt 1) into 1 60.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 60.820 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 60.820 * [backup-simplify]: Simplify (+ 0 0) into 0 60.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 60.821 * [backup-simplify]: Simplify (* 1 1) into 1 60.821 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 60.821 * [backup-simplify]: Simplify 1/4 into 1/4 60.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 60.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 60.822 * [backup-simplify]: Simplify 0 into 0 60.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 60.823 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 60.823 * [backup-simplify]: Simplify (+ 0 1) into 1 60.824 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 60.824 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 60.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 1 1)) (* 0 (/ 0 1)))) into -1/4 60.825 * [backup-simplify]: Simplify -1/4 into -1/4 60.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 60.826 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 60.827 * [backup-simplify]: Simplify (+ 0 0) into 0 60.827 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 60.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 60.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 1 1)) (* -1/4 (/ 0 1)))) into 0 60.829 * [backup-simplify]: Simplify 0 into 0 60.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 60.830 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 60.830 * [backup-simplify]: Simplify (+ 0 0) into 0 60.831 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 60.833 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 60.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1 1)) (* 0 (/ 0 1)))) into 1/4 60.834 * [backup-simplify]: Simplify 1/4 into 1/4 60.834 * [backup-simplify]: Simplify (+ (* 1/4 (pow x 4)) (+ (* -1/4 (pow x 2)) 1/4)) into (- (+ (* 1/4 (pow x 4)) 1/4) (* 1/4 (pow x 2))) 60.835 * [backup-simplify]: Simplify (* (/ 1/2 (hypot 1 (/ 1 x))) (/ 1/2 (hypot 1 (/ 1 x)))) into (/ 1/4 (pow (hypot 1 (/ 1 x)) 2)) 60.835 * [approximate]: Taking taylor expansion of (/ 1/4 (pow (hypot 1 (/ 1 x)) 2)) in (x) around 0 60.835 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (hypot 1 (/ 1 x)) 2)) in x 60.835 * [taylor]: Taking taylor expansion of 1/4 in x 60.835 * [backup-simplify]: Simplify 1/4 into 1/4 60.835 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 2) in x 60.835 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 60.835 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 60.835 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 60.835 * [taylor]: Taking taylor expansion of (* 1 1) in x 60.835 * [taylor]: Taking taylor expansion of 1 in x 60.835 * [backup-simplify]: Simplify 1 into 1 60.835 * [taylor]: Taking taylor expansion of 1 in x 60.835 * [backup-simplify]: Simplify 1 into 1 60.835 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 60.835 * [taylor]: Taking taylor expansion of (/ 1 x) in x 60.835 * [taylor]: Taking taylor expansion of x in x 60.835 * [backup-simplify]: Simplify 0 into 0 60.835 * [backup-simplify]: Simplify 1 into 1 60.836 * [backup-simplify]: Simplify (/ 1 1) into 1 60.836 * [taylor]: Taking taylor expansion of (/ 1 x) in x 60.836 * [taylor]: Taking taylor expansion of x in x 60.836 * [backup-simplify]: Simplify 0 into 0 60.836 * [backup-simplify]: Simplify 1 into 1 60.836 * [backup-simplify]: Simplify (/ 1 1) into 1 60.837 * [backup-simplify]: Simplify (* 1 1) into 1 60.837 * [backup-simplify]: Simplify (+ 0 1) into 1 60.837 * [backup-simplify]: Simplify (sqrt 1) into 1 60.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 60.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 60.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 60.840 * [backup-simplify]: Simplify (+ 0 0) into 0 60.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 60.841 * [backup-simplify]: Simplify (* 1 1) into 1 60.841 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 60.841 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (hypot 1 (/ 1 x)) 2)) in x 60.841 * [taylor]: Taking taylor expansion of 1/4 in x 60.841 * [backup-simplify]: Simplify 1/4 into 1/4 60.841 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 2) in x 60.841 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 60.842 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 60.842 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 60.842 * [taylor]: Taking taylor expansion of (* 1 1) in x 60.842 * [taylor]: Taking taylor expansion of 1 in x 60.842 * [backup-simplify]: Simplify 1 into 1 60.842 * [taylor]: Taking taylor expansion of 1 in x 60.842 * [backup-simplify]: Simplify 1 into 1 60.842 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 60.842 * [taylor]: Taking taylor expansion of (/ 1 x) in x 60.842 * [taylor]: Taking taylor expansion of x in x 60.842 * [backup-simplify]: Simplify 0 into 0 60.842 * [backup-simplify]: Simplify 1 into 1 60.842 * [backup-simplify]: Simplify (/ 1 1) into 1 60.842 * [taylor]: Taking taylor expansion of (/ 1 x) in x 60.842 * [taylor]: Taking taylor expansion of x in x 60.842 * [backup-simplify]: Simplify 0 into 0 60.842 * [backup-simplify]: Simplify 1 into 1 60.843 * [backup-simplify]: Simplify (/ 1 1) into 1 60.843 * [backup-simplify]: Simplify (* 1 1) into 1 60.843 * [backup-simplify]: Simplify (+ 0 1) into 1 60.844 * [backup-simplify]: Simplify (sqrt 1) into 1 60.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 60.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 60.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 60.845 * [backup-simplify]: Simplify (+ 0 0) into 0 60.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 60.846 * [backup-simplify]: Simplify (* 1 1) into 1 60.846 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 60.846 * [backup-simplify]: Simplify 1/4 into 1/4 60.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 60.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 60.847 * [backup-simplify]: Simplify 0 into 0 60.847 * [backup-simplify]: Simplify (* 1 1) into 1 60.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 60.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 60.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 60.849 * [backup-simplify]: Simplify (+ 1 0) into 1 60.850 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 60.850 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 60.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 1 1)) (* 0 (/ 0 1)))) into -1/4 60.851 * [backup-simplify]: Simplify -1/4 into -1/4 60.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 60.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 60.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 60.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 60.853 * [backup-simplify]: Simplify (+ 0 0) into 0 60.854 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 60.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 60.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 1 1)) (* -1/4 (/ 0 1)))) into 0 60.855 * [backup-simplify]: Simplify 0 into 0 60.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 60.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 60.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 60.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 60.858 * [backup-simplify]: Simplify (+ 0 0) into 0 60.859 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 60.859 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 60.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1 1)) (* 0 (/ 0 1)))) into 1/4 60.860 * [backup-simplify]: Simplify 1/4 into 1/4 60.861 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 x) 6)) (+ (* -1/4 (pow (/ 1 x) 4)) (* 1/4 (pow (/ 1 x) 2)))) into (- (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))) (* 1/4 (/ 1 (pow x 4)))) 60.861 * [backup-simplify]: Simplify (* (/ 1/2 (hypot 1 (/ 1 (- x)))) (/ 1/2 (hypot 1 (/ 1 (- x))))) into (/ 1/4 (pow (hypot 1 (/ -1 x)) 2)) 60.861 * [approximate]: Taking taylor expansion of (/ 1/4 (pow (hypot 1 (/ -1 x)) 2)) in (x) around 0 60.861 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (hypot 1 (/ -1 x)) 2)) in x 60.861 * [taylor]: Taking taylor expansion of 1/4 in x 60.861 * [backup-simplify]: Simplify 1/4 into 1/4 60.861 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 2) in x 60.861 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 60.861 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 60.861 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 60.861 * [taylor]: Taking taylor expansion of (* 1 1) in x 60.861 * [taylor]: Taking taylor expansion of 1 in x 60.861 * [backup-simplify]: Simplify 1 into 1 60.861 * [taylor]: Taking taylor expansion of 1 in x 60.861 * [backup-simplify]: Simplify 1 into 1 60.861 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 60.861 * [taylor]: Taking taylor expansion of (/ -1 x) in x 60.861 * [taylor]: Taking taylor expansion of -1 in x 60.861 * [backup-simplify]: Simplify -1 into -1 60.861 * [taylor]: Taking taylor expansion of x in x 60.861 * [backup-simplify]: Simplify 0 into 0 60.861 * [backup-simplify]: Simplify 1 into 1 60.861 * [backup-simplify]: Simplify (/ -1 1) into -1 60.861 * [taylor]: Taking taylor expansion of (/ -1 x) in x 60.861 * [taylor]: Taking taylor expansion of -1 in x 60.861 * [backup-simplify]: Simplify -1 into -1 60.861 * [taylor]: Taking taylor expansion of x in x 60.861 * [backup-simplify]: Simplify 0 into 0 60.861 * [backup-simplify]: Simplify 1 into 1 60.862 * [backup-simplify]: Simplify (/ -1 1) into -1 60.862 * [backup-simplify]: Simplify (* -1 -1) into 1 60.862 * [backup-simplify]: Simplify (+ 0 1) into 1 60.862 * [backup-simplify]: Simplify (sqrt 1) into 1 60.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 60.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 60.864 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 60.865 * [backup-simplify]: Simplify (+ 0 0) into 0 60.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 60.866 * [backup-simplify]: Simplify (* 1 1) into 1 60.866 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 60.866 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (hypot 1 (/ -1 x)) 2)) in x 60.866 * [taylor]: Taking taylor expansion of 1/4 in x 60.866 * [backup-simplify]: Simplify 1/4 into 1/4 60.866 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 2) in x 60.866 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 60.866 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 60.866 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 60.866 * [taylor]: Taking taylor expansion of (* 1 1) in x 60.866 * [taylor]: Taking taylor expansion of 1 in x 60.866 * [backup-simplify]: Simplify 1 into 1 60.866 * [taylor]: Taking taylor expansion of 1 in x 60.866 * [backup-simplify]: Simplify 1 into 1 60.866 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 60.866 * [taylor]: Taking taylor expansion of (/ -1 x) in x 60.866 * [taylor]: Taking taylor expansion of -1 in x 60.866 * [backup-simplify]: Simplify -1 into -1 60.866 * [taylor]: Taking taylor expansion of x in x 60.866 * [backup-simplify]: Simplify 0 into 0 60.867 * [backup-simplify]: Simplify 1 into 1 60.867 * [backup-simplify]: Simplify (/ -1 1) into -1 60.867 * [taylor]: Taking taylor expansion of (/ -1 x) in x 60.867 * [taylor]: Taking taylor expansion of -1 in x 60.867 * [backup-simplify]: Simplify -1 into -1 60.867 * [taylor]: Taking taylor expansion of x in x 60.867 * [backup-simplify]: Simplify 0 into 0 60.867 * [backup-simplify]: Simplify 1 into 1 60.868 * [backup-simplify]: Simplify (/ -1 1) into -1 60.868 * [backup-simplify]: Simplify (* -1 -1) into 1 60.868 * [backup-simplify]: Simplify (+ 0 1) into 1 60.869 * [backup-simplify]: Simplify (sqrt 1) into 1 60.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 60.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 60.872 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 60.872 * [backup-simplify]: Simplify (+ 0 0) into 0 60.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 60.873 * [backup-simplify]: Simplify (* 1 1) into 1 60.873 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 60.873 * [backup-simplify]: Simplify 1/4 into 1/4 60.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 60.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 60.875 * [backup-simplify]: Simplify 0 into 0 60.875 * [backup-simplify]: Simplify (* 1 1) into 1 60.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 60.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 60.878 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 60.879 * [backup-simplify]: Simplify (+ 1 0) into 1 60.880 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 60.881 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 60.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 1 1)) (* 0 (/ 0 1)))) into -1/4 60.882 * [backup-simplify]: Simplify -1/4 into -1/4 60.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 60.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 60.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 60.885 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 60.886 * [backup-simplify]: Simplify (+ 0 0) into 0 60.887 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 60.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 60.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 1 1)) (* -1/4 (/ 0 1)))) into 0 60.890 * [backup-simplify]: Simplify 0 into 0 60.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 60.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 60.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 60.894 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 60.894 * [backup-simplify]: Simplify (+ 0 0) into 0 60.895 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 60.897 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 60.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1 1)) (* 0 (/ 0 1)))) into 1/4 60.898 * [backup-simplify]: Simplify 1/4 into 1/4 60.898 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 (- x)) 6)) (+ (* -1/4 (pow (/ 1 (- x)) 4)) (* 1/4 (pow (/ 1 (- x)) 2)))) into (- (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))) (* 1/4 (/ 1 (pow x 4)))) 60.899 * * * [progress]: simplifying candidates 60.899 * * * * [progress]: [ 1 / 223 ] simplifiying candidate # 60.899 * * * * [progress]: [ 2 / 223 ] simplifiying candidate # 60.899 * * * * [progress]: [ 3 / 223 ] simplifiying candidate # 60.899 * * * * [progress]: [ 4 / 223 ] simplifiying candidate # 60.899 * [simplify]: Simplifying (- 1/2) 60.899 * * [simplify]: iters left: 2 (2 enodes) 60.901 * * [simplify]: iters left: 1 (7 enodes) 60.903 * * [simplify]: Extracting #0: cost 1 inf + 0 60.903 * * [simplify]: Extracting #1: cost 0 inf + 1 60.903 * [simplify]: Simplified to -1/2 60.903 * [simplify]: Simplified (2 1 2) to (λ (x) (* (pow (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) -1/2) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 60.904 * * * * [progress]: [ 5 / 223 ] simplifiying candidate # 60.904 * [simplify]: Simplifying (- 1) 60.904 * * [simplify]: iters left: 2 (2 enodes) 60.906 * * [simplify]: iters left: 1 (9 enodes) 60.908 * * [simplify]: Extracting #0: cost 1 inf + 0 60.909 * * [simplify]: Extracting #1: cost 0 inf + 1 60.909 * [simplify]: Simplified to -1 60.909 * [simplify]: Simplified (2 1 2) to (λ (x) (* (pow (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) -1) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 60.909 * * * * [progress]: [ 6 / 223 ] simplifiying candidate # 60.909 * [simplify]: Simplifying (- (/ 1 2)) 60.909 * * [simplify]: iters left: 4 (4 enodes) 60.913 * * [simplify]: iters left: 3 (19 enodes) 60.919 * * [simplify]: iters left: 2 (23 enodes) 60.925 * * [simplify]: Extracting #0: cost 1 inf + 0 60.925 * * [simplify]: Extracting #1: cost 0 inf + 1 60.925 * [simplify]: Simplified to -1/2 60.925 * [simplify]: Simplified (2 1 2) to (λ (x) (* (pow (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) -1/2) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 60.926 * * * * [progress]: [ 7 / 223 ] simplifiying candidate # 60.926 * * * * [progress]: [ 8 / 223 ] simplifiying candidate # 60.926 * * * * [progress]: [ 9 / 223 ] simplifiying candidate # 60.926 * [simplify]: Simplifying (- 0 (log (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 60.926 * * [simplify]: iters left: 6 (12 enodes) 60.939 * * [simplify]: iters left: 5 (41 enodes) 60.951 * * [simplify]: iters left: 4 (45 enodes) 60.963 * * [simplify]: iters left: 3 (47 enodes) 60.975 * * [simplify]: iters left: 2 (49 enodes) 60.986 * * [simplify]: Extracting #0: cost 1 inf + 0 60.986 * * [simplify]: Extracting #1: cost 4 inf + 0 60.986 * * [simplify]: Extracting #2: cost 5 inf + 1 60.986 * * [simplify]: Extracting #3: cost 7 inf + 1 60.986 * * [simplify]: Extracting #4: cost 10 inf + 1 60.986 * * [simplify]: Extracting #5: cost 11 inf + 2 60.986 * * [simplify]: Extracting #6: cost 14 inf + 2 60.987 * * [simplify]: Extracting #7: cost 15 inf + 3 60.987 * * [simplify]: Extracting #8: cost 17 inf + 3 60.987 * * [simplify]: Extracting #9: cost 16 inf + 4 60.987 * * [simplify]: Extracting #10: cost 13 inf + 216 60.987 * * [simplify]: Extracting #11: cost 9 inf + 768 60.988 * * [simplify]: Extracting #12: cost 5 inf + 1640 60.988 * * [simplify]: Extracting #13: cost 1 inf + 2922 60.989 * * [simplify]: Extracting #14: cost 0 inf + 3290 60.990 * [simplify]: Simplified to (- (log (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 60.990 * [simplify]: Simplified (2 1 1) to (λ (x) (* (exp (- (log (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 60.991 * * * * [progress]: [ 10 / 223 ] simplifiying candidate # 60.991 * [simplify]: Simplifying (- (log 1) (log (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 60.991 * * [simplify]: iters left: 6 (12 enodes) 60.997 * * [simplify]: iters left: 5 (42 enodes) 61.008 * * [simplify]: Extracting #0: cost 1 inf + 0 61.008 * * [simplify]: Extracting #1: cost 4 inf + 0 61.008 * * [simplify]: Extracting #2: cost 5 inf + 1 61.008 * * [simplify]: Extracting #3: cost 7 inf + 1 61.008 * * [simplify]: Extracting #4: cost 10 inf + 1 61.008 * * [simplify]: Extracting #5: cost 11 inf + 2 61.008 * * [simplify]: Extracting #6: cost 14 inf + 2 61.008 * * [simplify]: Extracting #7: cost 15 inf + 3 61.008 * * [simplify]: Extracting #8: cost 17 inf + 3 61.008 * * [simplify]: Extracting #9: cost 16 inf + 4 61.008 * * [simplify]: Extracting #10: cost 12 inf + 314 61.009 * * [simplify]: Extracting #11: cost 8 inf + 946 61.009 * * [simplify]: Extracting #12: cost 5 inf + 1640 61.010 * * [simplify]: Extracting #13: cost 2 inf + 2594 61.011 * * [simplify]: Extracting #14: cost 0 inf + 3290 61.012 * [simplify]: Simplified to (- (log (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 61.012 * [simplify]: Simplified (2 1 1) to (λ (x) (* (exp (- (log (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 61.012 * * * * [progress]: [ 11 / 223 ] simplifiying candidate # 61.012 * * * * [progress]: [ 12 / 223 ] simplifiying candidate # 61.012 * * * * [progress]: [ 13 / 223 ] simplifiying candidate # 61.012 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (sqrt (+ 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)))))) 61.013 * * [simplify]: iters left: 6 (14 enodes) 61.019 * * [simplify]: iters left: 5 (46 enodes) 61.032 * * [simplify]: iters left: 4 (74 enodes) 61.056 * * [simplify]: iters left: 3 (114 enodes) 61.102 * * [simplify]: iters left: 2 (189 enodes) 61.157 * * [simplify]: iters left: 1 (246 enodes) 61.220 * * [simplify]: Extracting #0: cost 1 inf + 0 61.220 * * [simplify]: Extracting #1: cost 22 inf + 0 61.220 * * [simplify]: Extracting #2: cost 46 inf + 2 61.220 * * [simplify]: Extracting #3: cost 53 inf + 5 61.221 * * [simplify]: Extracting #4: cost 55 inf + 6 61.221 * * [simplify]: Extracting #5: cost 56 inf + 7 61.221 * * [simplify]: Extracting #6: cost 58 inf + 7 61.221 * * [simplify]: Extracting #7: cost 52 inf + 536 61.223 * * [simplify]: Extracting #8: cost 24 inf + 11034 61.227 * * [simplify]: Extracting #9: cost 3 inf + 22505 61.231 * * [simplify]: Extracting #10: cost 0 inf + 24494 61.236 * * [simplify]: Extracting #11: cost 0 inf + 24454 61.240 * [simplify]: Simplified to (/ 1 (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 61.240 * [simplify]: Simplified (2 1 1) to (λ (x) (* (cbrt (/ 1 (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 61.240 * * * * [progress]: [ 14 / 223 ] simplifiying candidate # 61.240 * * * * [progress]: [ 15 / 223 ] simplifiying candidate # 61.240 * * * * [progress]: [ 16 / 223 ] simplifiying candidate # 61.240 * * * * [progress]: [ 17 / 223 ] simplifiying candidate # 61.241 * * * * [progress]: [ 18 / 223 ] simplifiying candidate # 61.241 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 61.241 * * [simplify]: iters left: 6 (14 enodes) 61.245 * * [simplify]: iters left: 5 (52 enodes) 61.254 * * [simplify]: iters left: 4 (68 enodes) 61.268 * * [simplify]: iters left: 3 (96 enodes) 61.297 * * [simplify]: iters left: 2 (101 enodes) 61.308 * * [simplify]: Extracting #0: cost 1 inf + 0 61.308 * * [simplify]: Extracting #1: cost 6 inf + 0 61.308 * * [simplify]: Extracting #2: cost 9 inf + 1 61.308 * * [simplify]: Extracting #3: cost 11 inf + 1 61.308 * * [simplify]: Extracting #4: cost 13 inf + 1 61.308 * * [simplify]: Extracting #5: cost 15 inf + 1 61.308 * * [simplify]: Extracting #6: cost 18 inf + 1 61.308 * * [simplify]: Extracting #7: cost 19 inf + 2 61.308 * * [simplify]: Extracting #8: cost 21 inf + 2 61.308 * * [simplify]: Extracting #9: cost 19 inf + 60 61.309 * * [simplify]: Extracting #10: cost 16 inf + 313 61.309 * * [simplify]: Extracting #11: cost 11 inf + 1163 61.309 * * [simplify]: Extracting #12: cost 7 inf + 2235 61.310 * * [simplify]: Extracting #13: cost 1 inf + 4503 61.311 * * [simplify]: Extracting #14: cost 0 inf + 4921 61.312 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 61.312 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* (/ (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (cbrt 1) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 61.312 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 61.312 * * [simplify]: iters left: 6 (12 enodes) 61.316 * * [simplify]: iters left: 5 (40 enodes) 61.321 * * [simplify]: iters left: 4 (42 enodes) 61.327 * * [simplify]: Extracting #0: cost 1 inf + 0 61.327 * * [simplify]: Extracting #1: cost 4 inf + 0 61.327 * * [simplify]: Extracting #2: cost 5 inf + 1 61.327 * * [simplify]: Extracting #3: cost 7 inf + 1 61.327 * * [simplify]: Extracting #4: cost 9 inf + 1 61.327 * * [simplify]: Extracting #5: cost 11 inf + 1 61.328 * * [simplify]: Extracting #6: cost 14 inf + 1 61.328 * * [simplify]: Extracting #7: cost 15 inf + 2 61.328 * * [simplify]: Extracting #8: cost 17 inf + 2 61.328 * * [simplify]: Extracting #9: cost 16 inf + 3 61.328 * * [simplify]: Extracting #10: cost 12 inf + 313 61.328 * * [simplify]: Extracting #11: cost 8 inf + 945 61.329 * * [simplify]: Extracting #12: cost 4 inf + 1897 61.329 * * [simplify]: Extracting #13: cost 2 inf + 2613 61.330 * * [simplify]: Extracting #14: cost 0 inf + 3329 61.331 * [simplify]: Simplified to (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 61.331 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 61.331 * * * * [progress]: [ 19 / 223 ] simplifiying candidate # 61.332 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 61.332 * * [simplify]: iters left: 6 (14 enodes) 61.338 * * [simplify]: iters left: 5 (49 enodes) 61.353 * * [simplify]: iters left: 4 (51 enodes) 61.367 * * [simplify]: Extracting #0: cost 1 inf + 0 61.367 * * [simplify]: Extracting #1: cost 4 inf + 0 61.367 * * [simplify]: Extracting #2: cost 6 inf + 1 61.367 * * [simplify]: Extracting #3: cost 9 inf + 1 61.367 * * [simplify]: Extracting #4: cost 11 inf + 1 61.367 * * [simplify]: Extracting #5: cost 13 inf + 1 61.367 * * [simplify]: Extracting #6: cost 16 inf + 1 61.367 * * [simplify]: Extracting #7: cost 17 inf + 2 61.367 * * [simplify]: Extracting #8: cost 19 inf + 2 61.367 * * [simplify]: Extracting #9: cost 17 inf + 60 61.368 * * [simplify]: Extracting #10: cost 14 inf + 353 61.368 * * [simplify]: Extracting #11: cost 9 inf + 1163 61.369 * * [simplify]: Extracting #12: cost 2 inf + 3369 61.370 * * [simplify]: Extracting #13: cost 0 inf + 4085 61.371 * [simplify]: Simplified to (/ 1 (fabs (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 61.371 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* (/ 1 (fabs (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (cbrt 1) (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 61.372 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 61.372 * * [simplify]: iters left: 6 (12 enodes) 61.378 * * [simplify]: iters left: 5 (40 enodes) 61.389 * * [simplify]: iters left: 4 (42 enodes) 61.404 * * [simplify]: Extracting #0: cost 1 inf + 0 61.404 * * [simplify]: Extracting #1: cost 4 inf + 0 61.404 * * [simplify]: Extracting #2: cost 5 inf + 1 61.404 * * [simplify]: Extracting #3: cost 7 inf + 1 61.404 * * [simplify]: Extracting #4: cost 9 inf + 1 61.404 * * [simplify]: Extracting #5: cost 11 inf + 1 61.404 * * [simplify]: Extracting #6: cost 14 inf + 1 61.404 * * [simplify]: Extracting #7: cost 15 inf + 2 61.404 * * [simplify]: Extracting #8: cost 17 inf + 2 61.404 * * [simplify]: Extracting #9: cost 16 inf + 3 61.405 * * [simplify]: Extracting #10: cost 12 inf + 313 61.405 * * [simplify]: Extracting #11: cost 8 inf + 945 61.406 * * [simplify]: Extracting #12: cost 4 inf + 1977 61.406 * * [simplify]: Extracting #13: cost 2 inf + 2693 61.407 * * [simplify]: Extracting #14: cost 0 inf + 3409 61.408 * [simplify]: Simplified to (/ 1 (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 61.408 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ 1 (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 61.409 * * * * [progress]: [ 20 / 223 ] simplifiying candidate # 61.409 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 61.410 * * [simplify]: iters left: 6 (13 enodes) 61.417 * * [simplify]: iters left: 5 (45 enodes) 61.431 * * [simplify]: iters left: 4 (47 enodes) 61.444 * * [simplify]: Extracting #0: cost 1 inf + 0 61.444 * * [simplify]: Extracting #1: cost 4 inf + 0 61.444 * * [simplify]: Extracting #2: cost 5 inf + 1 61.444 * * [simplify]: Extracting #3: cost 7 inf + 1 61.444 * * [simplify]: Extracting #4: cost 9 inf + 1 61.444 * * [simplify]: Extracting #5: cost 11 inf + 1 61.444 * * [simplify]: Extracting #6: cost 14 inf + 1 61.444 * * [simplify]: Extracting #7: cost 15 inf + 2 61.444 * * [simplify]: Extracting #8: cost 17 inf + 2 61.444 * * [simplify]: Extracting #9: cost 15 inf + 60 61.444 * * [simplify]: Extracting #10: cost 12 inf + 353 61.445 * * [simplify]: Extracting #11: cost 8 inf + 985 61.446 * * [simplify]: Extracting #12: cost 3 inf + 2235 61.446 * * [simplify]: Extracting #13: cost 1 inf + 2831 61.447 * * [simplify]: Extracting #14: cost 0 inf + 3169 61.448 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 61.448 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (cbrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 61.448 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 61.448 * * [simplify]: iters left: 6 (12 enodes) 61.452 * * [simplify]: iters left: 5 (40 enodes) 61.458 * * [simplify]: iters left: 4 (42 enodes) 61.464 * * [simplify]: Extracting #0: cost 1 inf + 0 61.464 * * [simplify]: Extracting #1: cost 4 inf + 0 61.465 * * [simplify]: Extracting #2: cost 5 inf + 1 61.465 * * [simplify]: Extracting #3: cost 7 inf + 1 61.465 * * [simplify]: Extracting #4: cost 9 inf + 1 61.465 * * [simplify]: Extracting #5: cost 11 inf + 1 61.465 * * [simplify]: Extracting #6: cost 14 inf + 1 61.465 * * [simplify]: Extracting #7: cost 15 inf + 2 61.465 * * [simplify]: Extracting #8: cost 17 inf + 2 61.465 * * [simplify]: Extracting #9: cost 16 inf + 3 61.465 * * [simplify]: Extracting #10: cost 12 inf + 313 61.465 * * [simplify]: Extracting #11: cost 8 inf + 945 61.465 * * [simplify]: Extracting #12: cost 4 inf + 1897 61.466 * * [simplify]: Extracting #13: cost 2 inf + 2533 61.466 * * [simplify]: Extracting #14: cost 0 inf + 3169 61.467 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 61.467 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 61.467 * * * * [progress]: [ 21 / 223 ] simplifiying candidate # 61.467 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 61.467 * * [simplify]: iters left: 5 (5 enodes) 61.473 * * [simplify]: iters left: 4 (19 enodes) 61.476 * * [simplify]: iters left: 3 (21 enodes) 61.481 * * [simplify]: Extracting #0: cost 1 inf + 0 61.481 * * [simplify]: Extracting #1: cost 0 inf + 1 61.481 * [simplify]: Simplified to 1 61.481 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ (cbrt 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 61.482 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 61.482 * * [simplify]: iters left: 6 (11 enodes) 61.488 * * [simplify]: iters left: 5 (37 enodes) 61.499 * * [simplify]: iters left: 4 (39 enodes) 61.510 * * [simplify]: Extracting #0: cost 1 inf + 0 61.510 * * [simplify]: Extracting #1: cost 4 inf + 0 61.510 * * [simplify]: Extracting #2: cost 5 inf + 1 61.510 * * [simplify]: Extracting #3: cost 7 inf + 1 61.510 * * [simplify]: Extracting #4: cost 9 inf + 1 61.510 * * [simplify]: Extracting #5: cost 12 inf + 1 61.510 * * [simplify]: Extracting #6: cost 13 inf + 2 61.510 * * [simplify]: Extracting #7: cost 15 inf + 2 61.510 * * [simplify]: Extracting #8: cost 14 inf + 3 61.511 * * [simplify]: Extracting #9: cost 12 inf + 158 61.511 * * [simplify]: Extracting #10: cost 7 inf + 767 61.511 * * [simplify]: Extracting #11: cost 3 inf + 1639 61.512 * * [simplify]: Extracting #12: cost 0 inf + 2493 61.513 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 61.513 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 61.513 * * * * [progress]: [ 22 / 223 ] simplifiying candidate # 61.514 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 1))) 61.514 * * [simplify]: iters left: 5 (6 enodes) 61.519 * * [simplify]: iters left: 4 (22 enodes) 61.529 * * [simplify]: iters left: 3 (24 enodes) 61.533 * * [simplify]: Extracting #0: cost 1 inf + 0 61.533 * * [simplify]: Extracting #1: cost 0 inf + 1 61.533 * [simplify]: Simplified to 1 61.533 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ (cbrt 1) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 61.534 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 61.534 * * [simplify]: iters left: 6 (12 enodes) 61.542 * * [simplify]: iters left: 5 (40 enodes) 61.553 * * [simplify]: iters left: 4 (42 enodes) 61.560 * * [simplify]: Extracting #0: cost 1 inf + 0 61.560 * * [simplify]: Extracting #1: cost 4 inf + 0 61.560 * * [simplify]: Extracting #2: cost 5 inf + 1 61.560 * * [simplify]: Extracting #3: cost 7 inf + 1 61.560 * * [simplify]: Extracting #4: cost 9 inf + 1 61.560 * * [simplify]: Extracting #5: cost 12 inf + 1 61.560 * * [simplify]: Extracting #6: cost 13 inf + 2 61.560 * * [simplify]: Extracting #7: cost 15 inf + 2 61.560 * * [simplify]: Extracting #8: cost 12 inf + 117 61.560 * * [simplify]: Extracting #9: cost 8 inf + 589 61.560 * * [simplify]: Extracting #10: cost 4 inf + 1381 61.561 * * [simplify]: Extracting #11: cost 2 inf + 1937 61.561 * * [simplify]: Extracting #12: cost 0 inf + 2493 61.562 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 61.562 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 61.562 * * * * [progress]: [ 23 / 223 ] simplifiying candidate # 61.562 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 1))) 61.562 * * [simplify]: iters left: 5 (6 enodes) 61.565 * * [simplify]: iters left: 4 (22 enodes) 61.569 * * [simplify]: iters left: 3 (24 enodes) 61.571 * * [simplify]: Extracting #0: cost 1 inf + 0 61.571 * * [simplify]: Extracting #1: cost 0 inf + 1 61.571 * [simplify]: Simplified to 1 61.571 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ (cbrt 1) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 61.572 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 61.572 * * [simplify]: iters left: 6 (12 enodes) 61.576 * * [simplify]: iters left: 5 (40 enodes) 61.581 * * [simplify]: iters left: 4 (42 enodes) 61.590 * * [simplify]: Extracting #0: cost 1 inf + 0 61.590 * * [simplify]: Extracting #1: cost 4 inf + 0 61.590 * * [simplify]: Extracting #2: cost 5 inf + 1 61.590 * * [simplify]: Extracting #3: cost 7 inf + 1 61.590 * * [simplify]: Extracting #4: cost 9 inf + 1 61.590 * * [simplify]: Extracting #5: cost 12 inf + 1 61.590 * * [simplify]: Extracting #6: cost 13 inf + 2 61.590 * * [simplify]: Extracting #7: cost 15 inf + 2 61.590 * * [simplify]: Extracting #8: cost 12 inf + 117 61.591 * * [simplify]: Extracting #9: cost 8 inf + 589 61.591 * * [simplify]: Extracting #10: cost 4 inf + 1381 61.592 * * [simplify]: Extracting #11: cost 2 inf + 1937 61.592 * * [simplify]: Extracting #12: cost 0 inf + 2493 61.593 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 61.593 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 61.594 * * * * [progress]: [ 24 / 223 ] simplifiying candidate # 61.594 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 61.594 * * [simplify]: iters left: 5 (5 enodes) 61.601 * * [simplify]: iters left: 4 (19 enodes) 61.605 * * [simplify]: iters left: 3 (21 enodes) 61.607 * * [simplify]: Extracting #0: cost 1 inf + 0 61.607 * * [simplify]: Extracting #1: cost 0 inf + 1 61.607 * [simplify]: Simplified to 1 61.607 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ (cbrt 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 61.608 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 61.608 * * [simplify]: iters left: 6 (11 enodes) 61.611 * * [simplify]: iters left: 5 (37 enodes) 61.617 * * [simplify]: iters left: 4 (39 enodes) 61.623 * * [simplify]: Extracting #0: cost 1 inf + 0 61.623 * * [simplify]: Extracting #1: cost 4 inf + 0 61.623 * * [simplify]: Extracting #2: cost 5 inf + 1 61.623 * * [simplify]: Extracting #3: cost 7 inf + 1 61.623 * * [simplify]: Extracting #4: cost 9 inf + 1 61.623 * * [simplify]: Extracting #5: cost 12 inf + 1 61.623 * * [simplify]: Extracting #6: cost 13 inf + 2 61.623 * * [simplify]: Extracting #7: cost 15 inf + 2 61.623 * * [simplify]: Extracting #8: cost 14 inf + 3 61.623 * * [simplify]: Extracting #9: cost 12 inf + 158 61.623 * * [simplify]: Extracting #10: cost 7 inf + 767 61.624 * * [simplify]: Extracting #11: cost 3 inf + 1639 61.624 * * [simplify]: Extracting #12: cost 0 inf + 2493 61.624 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 61.624 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 61.625 * * * * [progress]: [ 25 / 223 ] simplifiying candidate # 61.625 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 61.625 * * [simplify]: iters left: 6 (13 enodes) 61.632 * * [simplify]: iters left: 5 (45 enodes) 61.643 * * [simplify]: iters left: 4 (47 enodes) 61.649 * * [simplify]: Extracting #0: cost 1 inf + 0 61.649 * * [simplify]: Extracting #1: cost 4 inf + 0 61.649 * * [simplify]: Extracting #2: cost 5 inf + 1 61.650 * * [simplify]: Extracting #3: cost 7 inf + 1 61.650 * * [simplify]: Extracting #4: cost 9 inf + 1 61.650 * * [simplify]: Extracting #5: cost 11 inf + 1 61.650 * * [simplify]: Extracting #6: cost 14 inf + 1 61.650 * * [simplify]: Extracting #7: cost 15 inf + 2 61.650 * * [simplify]: Extracting #8: cost 17 inf + 2 61.650 * * [simplify]: Extracting #9: cost 15 inf + 60 61.650 * * [simplify]: Extracting #10: cost 12 inf + 353 61.650 * * [simplify]: Extracting #11: cost 8 inf + 985 61.650 * * [simplify]: Extracting #12: cost 3 inf + 2235 61.651 * * [simplify]: Extracting #13: cost 1 inf + 2831 61.651 * * [simplify]: Extracting #14: cost 0 inf + 3169 61.652 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 61.652 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (cbrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 61.652 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 61.652 * * [simplify]: iters left: 6 (12 enodes) 61.656 * * [simplify]: iters left: 5 (40 enodes) 61.662 * * [simplify]: iters left: 4 (42 enodes) 61.668 * * [simplify]: Extracting #0: cost 1 inf + 0 61.668 * * [simplify]: Extracting #1: cost 4 inf + 0 61.668 * * [simplify]: Extracting #2: cost 5 inf + 1 61.668 * * [simplify]: Extracting #3: cost 7 inf + 1 61.668 * * [simplify]: Extracting #4: cost 9 inf + 1 61.668 * * [simplify]: Extracting #5: cost 11 inf + 1 61.668 * * [simplify]: Extracting #6: cost 14 inf + 1 61.668 * * [simplify]: Extracting #7: cost 15 inf + 2 61.668 * * [simplify]: Extracting #8: cost 17 inf + 2 61.668 * * [simplify]: Extracting #9: cost 16 inf + 3 61.668 * * [simplify]: Extracting #10: cost 12 inf + 313 61.668 * * [simplify]: Extracting #11: cost 8 inf + 945 61.669 * * [simplify]: Extracting #12: cost 4 inf + 1897 61.669 * * [simplify]: Extracting #13: cost 2 inf + 2533 61.669 * * [simplify]: Extracting #14: cost 0 inf + 3169 61.670 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 61.670 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 61.670 * * * * [progress]: [ 26 / 223 ] simplifiying candidate # 61.670 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 61.671 * * [simplify]: iters left: 5 (4 enodes) 61.675 * * [simplify]: iters left: 4 (14 enodes) 61.678 * * [simplify]: iters left: 3 (16 enodes) 61.681 * * [simplify]: Extracting #0: cost 1 inf + 0 61.681 * * [simplify]: Extracting #1: cost 0 inf + 1 61.681 * [simplify]: Simplified to 1 61.681 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ (cbrt 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 61.682 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 61.682 * * [simplify]: iters left: 6 (11 enodes) 61.689 * * [simplify]: iters left: 5 (37 enodes) 61.700 * * [simplify]: iters left: 4 (39 enodes) 61.705 * * [simplify]: Extracting #0: cost 1 inf + 0 61.705 * * [simplify]: Extracting #1: cost 4 inf + 0 61.705 * * [simplify]: Extracting #2: cost 5 inf + 1 61.705 * * [simplify]: Extracting #3: cost 7 inf + 1 61.705 * * [simplify]: Extracting #4: cost 9 inf + 1 61.705 * * [simplify]: Extracting #5: cost 12 inf + 1 61.705 * * [simplify]: Extracting #6: cost 13 inf + 2 61.705 * * [simplify]: Extracting #7: cost 15 inf + 2 61.706 * * [simplify]: Extracting #8: cost 14 inf + 3 61.706 * * [simplify]: Extracting #9: cost 12 inf + 158 61.706 * * [simplify]: Extracting #10: cost 7 inf + 767 61.706 * * [simplify]: Extracting #11: cost 3 inf + 1639 61.706 * * [simplify]: Extracting #12: cost 0 inf + 2493 61.707 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 61.707 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 61.707 * * * * [progress]: [ 27 / 223 ] simplifiying candidate # 61.707 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 61.707 * * [simplify]: iters left: 6 (13 enodes) 61.711 * * [simplify]: iters left: 5 (45 enodes) 61.718 * * [simplify]: iters left: 4 (52 enodes) 61.728 * * [simplify]: iters left: 3 (54 enodes) 61.736 * * [simplify]: Extracting #0: cost 1 inf + 0 61.736 * * [simplify]: Extracting #1: cost 7 inf + 0 61.737 * * [simplify]: Extracting #2: cost 11 inf + 1 61.737 * * [simplify]: Extracting #3: cost 13 inf + 1 61.737 * * [simplify]: Extracting #4: cost 15 inf + 1 61.737 * * [simplify]: Extracting #5: cost 17 inf + 1 61.737 * * [simplify]: Extracting #6: cost 20 inf + 1 61.737 * * [simplify]: Extracting #7: cost 21 inf + 2 61.737 * * [simplify]: Extracting #8: cost 23 inf + 2 61.737 * * [simplify]: Extracting #9: cost 20 inf + 158 61.738 * * [simplify]: Extracting #10: cost 12 inf + 1421 61.739 * * [simplify]: Extracting #11: cost 3 inf + 4503 61.741 * * [simplify]: Extracting #12: cost 0 inf + 5677 61.742 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 61.742 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* (/ (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt 1) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 61.743 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 61.743 * * [simplify]: iters left: 6 (12 enodes) 61.749 * * [simplify]: iters left: 5 (40 enodes) 61.761 * * [simplify]: iters left: 4 (42 enodes) 61.769 * * [simplify]: Extracting #0: cost 1 inf + 0 61.769 * * [simplify]: Extracting #1: cost 4 inf + 0 61.769 * * [simplify]: Extracting #2: cost 5 inf + 1 61.769 * * [simplify]: Extracting #3: cost 7 inf + 1 61.769 * * [simplify]: Extracting #4: cost 9 inf + 1 61.769 * * [simplify]: Extracting #5: cost 11 inf + 1 61.769 * * [simplify]: Extracting #6: cost 14 inf + 1 61.769 * * [simplify]: Extracting #7: cost 15 inf + 2 61.769 * * [simplify]: Extracting #8: cost 17 inf + 2 61.769 * * [simplify]: Extracting #9: cost 16 inf + 3 61.769 * * [simplify]: Extracting #10: cost 12 inf + 313 61.769 * * [simplify]: Extracting #11: cost 8 inf + 945 61.770 * * [simplify]: Extracting #12: cost 4 inf + 1897 61.770 * * [simplify]: Extracting #13: cost 2 inf + 2613 61.771 * * [simplify]: Extracting #14: cost 0 inf + 3329 61.771 * [simplify]: Simplified to (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 61.771 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ (sqrt 1) (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 61.771 * * * * [progress]: [ 28 / 223 ] simplifiying candidate # 61.772 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 61.772 * * [simplify]: iters left: 6 (13 enodes) 61.776 * * [simplify]: iters left: 5 (44 enodes) 61.783 * * [simplify]: iters left: 4 (46 enodes) 61.790 * * [simplify]: Extracting #0: cost 1 inf + 0 61.790 * * [simplify]: Extracting #1: cost 4 inf + 0 61.790 * * [simplify]: Extracting #2: cost 6 inf + 1 61.790 * * [simplify]: Extracting #3: cost 9 inf + 1 61.790 * * [simplify]: Extracting #4: cost 11 inf + 1 61.790 * * [simplify]: Extracting #5: cost 13 inf + 1 61.790 * * [simplify]: Extracting #6: cost 16 inf + 1 61.790 * * [simplify]: Extracting #7: cost 17 inf + 2 61.790 * * [simplify]: Extracting #8: cost 19 inf + 2 61.790 * * [simplify]: Extracting #9: cost 18 inf + 3 61.790 * * [simplify]: Extracting #10: cost 15 inf + 215 61.791 * * [simplify]: Extracting #11: cost 11 inf + 767 61.791 * * [simplify]: Extracting #12: cost 6 inf + 2017 61.791 * * [simplify]: Extracting #13: cost 0 inf + 4085 61.792 * [simplify]: Simplified to (/ 1 (fabs (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 61.792 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* (/ 1 (fabs (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt 1) (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 61.792 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 61.792 * * [simplify]: iters left: 6 (12 enodes) 61.797 * * [simplify]: iters left: 5 (40 enodes) 61.803 * * [simplify]: iters left: 4 (42 enodes) 61.810 * * [simplify]: Extracting #0: cost 1 inf + 0 61.810 * * [simplify]: Extracting #1: cost 4 inf + 0 61.810 * * [simplify]: Extracting #2: cost 5 inf + 1 61.810 * * [simplify]: Extracting #3: cost 7 inf + 1 61.810 * * [simplify]: Extracting #4: cost 9 inf + 1 61.810 * * [simplify]: Extracting #5: cost 11 inf + 1 61.810 * * [simplify]: Extracting #6: cost 14 inf + 1 61.811 * * [simplify]: Extracting #7: cost 15 inf + 2 61.811 * * [simplify]: Extracting #8: cost 17 inf + 2 61.811 * * [simplify]: Extracting #9: cost 16 inf + 3 61.811 * * [simplify]: Extracting #10: cost 12 inf + 313 61.811 * * [simplify]: Extracting #11: cost 8 inf + 945 61.812 * * [simplify]: Extracting #12: cost 4 inf + 1977 61.813 * * [simplify]: Extracting #13: cost 2 inf + 2693 61.814 * * [simplify]: Extracting #14: cost 0 inf + 3409 61.815 * [simplify]: Simplified to (/ 1 (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 61.815 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ 1 (fabs (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 61.815 * * * * [progress]: [ 29 / 223 ] simplifiying candidate # 61.816 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 61.816 * * [simplify]: iters left: 6 (12 enodes) 61.822 * * [simplify]: iters left: 5 (40 enodes) 61.831 * * [simplify]: iters left: 4 (42 enodes) 61.839 * * [simplify]: Extracting #0: cost 1 inf + 0 61.839 * * [simplify]: Extracting #1: cost 4 inf + 0 61.839 * * [simplify]: Extracting #2: cost 5 inf + 1 61.839 * * [simplify]: Extracting #3: cost 7 inf + 1 61.839 * * [simplify]: Extracting #4: cost 9 inf + 1 61.839 * * [simplify]: Extracting #5: cost 11 inf + 1 61.839 * * [simplify]: Extracting #6: cost 14 inf + 1 61.839 * * [simplify]: Extracting #7: cost 15 inf + 2 61.839 * * [simplify]: Extracting #8: cost 17 inf + 2 61.839 * * [simplify]: Extracting #9: cost 16 inf + 3 61.840 * * [simplify]: Extracting #10: cost 12 inf + 313 61.840 * * [simplify]: Extracting #11: cost 8 inf + 945 61.840 * * [simplify]: Extracting #12: cost 4 inf + 1897 61.840 * * [simplify]: Extracting #13: cost 2 inf + 2533 61.841 * * [simplify]: Extracting #14: cost 0 inf + 3169 61.841 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 61.841 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 61.842 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 61.842 * * [simplify]: iters left: 6 (12 enodes) 61.845 * * [simplify]: iters left: 5 (40 enodes) 61.851 * * [simplify]: iters left: 4 (42 enodes) 61.857 * * [simplify]: Extracting #0: cost 1 inf + 0 61.857 * * [simplify]: Extracting #1: cost 4 inf + 0 61.857 * * [simplify]: Extracting #2: cost 5 inf + 1 61.857 * * [simplify]: Extracting #3: cost 7 inf + 1 61.857 * * [simplify]: Extracting #4: cost 9 inf + 1 61.857 * * [simplify]: Extracting #5: cost 11 inf + 1 61.857 * * [simplify]: Extracting #6: cost 14 inf + 1 61.857 * * [simplify]: Extracting #7: cost 15 inf + 2 61.857 * * [simplify]: Extracting #8: cost 17 inf + 2 61.857 * * [simplify]: Extracting #9: cost 16 inf + 3 61.857 * * [simplify]: Extracting #10: cost 12 inf + 313 61.858 * * [simplify]: Extracting #11: cost 8 inf + 945 61.858 * * [simplify]: Extracting #12: cost 4 inf + 1897 61.858 * * [simplify]: Extracting #13: cost 2 inf + 2533 61.859 * * [simplify]: Extracting #14: cost 0 inf + 3169 61.859 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 61.859 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 61.860 * * * * [progress]: [ 30 / 223 ] simplifiying candidate # 61.860 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 61.860 * * [simplify]: iters left: 3 (3 enodes) 61.862 * * [simplify]: iters left: 2 (9 enodes) 61.863 * * [simplify]: iters left: 1 (11 enodes) 61.866 * * [simplify]: Extracting #0: cost 1 inf + 0 61.866 * * [simplify]: Extracting #1: cost 0 inf + 1 61.866 * [simplify]: Simplified to 1 61.866 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ (sqrt 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 61.867 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 61.867 * * [simplify]: iters left: 6 (11 enodes) 61.873 * * [simplify]: iters left: 5 (37 enodes) 61.883 * * [simplify]: iters left: 4 (39 enodes) 61.893 * * [simplify]: Extracting #0: cost 1 inf + 0 61.893 * * [simplify]: Extracting #1: cost 4 inf + 0 61.893 * * [simplify]: Extracting #2: cost 5 inf + 1 61.893 * * [simplify]: Extracting #3: cost 7 inf + 1 61.893 * * [simplify]: Extracting #4: cost 9 inf + 1 61.893 * * [simplify]: Extracting #5: cost 12 inf + 1 61.893 * * [simplify]: Extracting #6: cost 13 inf + 2 61.893 * * [simplify]: Extracting #7: cost 15 inf + 2 61.893 * * [simplify]: Extracting #8: cost 14 inf + 3 61.894 * * [simplify]: Extracting #9: cost 12 inf + 158 61.894 * * [simplify]: Extracting #10: cost 7 inf + 767 61.894 * * [simplify]: Extracting #11: cost 3 inf + 1639 61.894 * * [simplify]: Extracting #12: cost 0 inf + 2493 61.895 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 61.895 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 61.895 * * * * [progress]: [ 31 / 223 ] simplifiying candidate # 61.895 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt 1))) 61.895 * * [simplify]: iters left: 4 (4 enodes) 61.897 * * [simplify]: iters left: 3 (14 enodes) 61.899 * * [simplify]: iters left: 2 (16 enodes) 61.901 * * [simplify]: Extracting #0: cost 1 inf + 0 61.901 * * [simplify]: Extracting #1: cost 0 inf + 1 61.901 * [simplify]: Simplified to 1 61.901 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ (sqrt 1) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 61.901 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 61.901 * * [simplify]: iters left: 6 (11 enodes) 61.905 * * [simplify]: iters left: 5 (37 enodes) 61.910 * * [simplify]: iters left: 4 (39 enodes) 61.915 * * [simplify]: Extracting #0: cost 1 inf + 0 61.915 * * [simplify]: Extracting #1: cost 4 inf + 0 61.915 * * [simplify]: Extracting #2: cost 5 inf + 1 61.915 * * [simplify]: Extracting #3: cost 7 inf + 1 61.915 * * [simplify]: Extracting #4: cost 9 inf + 1 61.915 * * [simplify]: Extracting #5: cost 12 inf + 1 61.915 * * [simplify]: Extracting #6: cost 13 inf + 2 61.915 * * [simplify]: Extracting #7: cost 15 inf + 2 61.916 * * [simplify]: Extracting #8: cost 14 inf + 3 61.916 * * [simplify]: Extracting #9: cost 12 inf + 158 61.916 * * [simplify]: Extracting #10: cost 7 inf + 767 61.916 * * [simplify]: Extracting #11: cost 3 inf + 1639 61.917 * * [simplify]: Extracting #12: cost 0 inf + 2493 61.917 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 61.917 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 61.917 * * * * [progress]: [ 32 / 223 ] simplifiying candidate # 61.917 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt 1))) 61.917 * * [simplify]: iters left: 4 (4 enodes) 61.919 * * [simplify]: iters left: 3 (14 enodes) 61.921 * * [simplify]: iters left: 2 (16 enodes) 61.924 * * [simplify]: Extracting #0: cost 1 inf + 0 61.924 * * [simplify]: Extracting #1: cost 0 inf + 1 61.924 * [simplify]: Simplified to 1 61.924 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ (sqrt 1) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 61.924 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 61.924 * * [simplify]: iters left: 6 (11 enodes) 61.932 * * [simplify]: iters left: 5 (37 enodes) 61.947 * * [simplify]: iters left: 4 (39 enodes) 61.958 * * [simplify]: Extracting #0: cost 1 inf + 0 61.958 * * [simplify]: Extracting #1: cost 4 inf + 0 61.958 * * [simplify]: Extracting #2: cost 5 inf + 1 61.958 * * [simplify]: Extracting #3: cost 7 inf + 1 61.959 * * [simplify]: Extracting #4: cost 9 inf + 1 61.959 * * [simplify]: Extracting #5: cost 12 inf + 1 61.959 * * [simplify]: Extracting #6: cost 13 inf + 2 61.959 * * [simplify]: Extracting #7: cost 15 inf + 2 61.959 * * [simplify]: Extracting #8: cost 14 inf + 3 61.959 * * [simplify]: Extracting #9: cost 12 inf + 158 61.959 * * [simplify]: Extracting #10: cost 7 inf + 767 61.960 * * [simplify]: Extracting #11: cost 3 inf + 1639 61.960 * * [simplify]: Extracting #12: cost 0 inf + 2493 61.961 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 61.961 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 61.962 * * * * [progress]: [ 33 / 223 ] simplifiying candidate # 61.962 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 61.962 * * [simplify]: iters left: 3 (3 enodes) 61.966 * * [simplify]: iters left: 2 (9 enodes) 61.968 * * [simplify]: iters left: 1 (11 enodes) 61.971 * * [simplify]: Extracting #0: cost 1 inf + 0 61.971 * * [simplify]: Extracting #1: cost 0 inf + 1 61.971 * [simplify]: Simplified to 1 61.971 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ (sqrt 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 61.972 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 61.972 * * [simplify]: iters left: 6 (11 enodes) 61.979 * * [simplify]: iters left: 5 (37 enodes) 61.985 * * [simplify]: iters left: 4 (39 enodes) 61.990 * * [simplify]: Extracting #0: cost 1 inf + 0 61.990 * * [simplify]: Extracting #1: cost 4 inf + 0 61.990 * * [simplify]: Extracting #2: cost 5 inf + 1 61.990 * * [simplify]: Extracting #3: cost 7 inf + 1 61.990 * * [simplify]: Extracting #4: cost 9 inf + 1 61.990 * * [simplify]: Extracting #5: cost 12 inf + 1 61.990 * * [simplify]: Extracting #6: cost 13 inf + 2 61.990 * * [simplify]: Extracting #7: cost 15 inf + 2 61.990 * * [simplify]: Extracting #8: cost 14 inf + 3 61.990 * * [simplify]: Extracting #9: cost 12 inf + 158 61.991 * * [simplify]: Extracting #10: cost 7 inf + 767 61.991 * * [simplify]: Extracting #11: cost 3 inf + 1639 61.991 * * [simplify]: Extracting #12: cost 0 inf + 2493 61.992 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 61.992 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 61.992 * * * * [progress]: [ 34 / 223 ] simplifiying candidate # 61.992 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 61.992 * * [simplify]: iters left: 6 (12 enodes) 61.995 * * [simplify]: iters left: 5 (40 enodes) 62.001 * * [simplify]: iters left: 4 (42 enodes) 62.007 * * [simplify]: Extracting #0: cost 1 inf + 0 62.007 * * [simplify]: Extracting #1: cost 4 inf + 0 62.008 * * [simplify]: Extracting #2: cost 5 inf + 1 62.008 * * [simplify]: Extracting #3: cost 7 inf + 1 62.008 * * [simplify]: Extracting #4: cost 9 inf + 1 62.008 * * [simplify]: Extracting #5: cost 11 inf + 1 62.008 * * [simplify]: Extracting #6: cost 14 inf + 1 62.008 * * [simplify]: Extracting #7: cost 15 inf + 2 62.008 * * [simplify]: Extracting #8: cost 17 inf + 2 62.008 * * [simplify]: Extracting #9: cost 16 inf + 3 62.008 * * [simplify]: Extracting #10: cost 12 inf + 313 62.009 * * [simplify]: Extracting #11: cost 8 inf + 945 62.009 * * [simplify]: Extracting #12: cost 4 inf + 1897 62.010 * * [simplify]: Extracting #13: cost 2 inf + 2533 62.011 * * [simplify]: Extracting #14: cost 0 inf + 3169 62.012 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 62.012 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 62.013 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 62.013 * * [simplify]: iters left: 6 (12 enodes) 62.020 * * [simplify]: iters left: 5 (40 enodes) 62.028 * * [simplify]: iters left: 4 (42 enodes) 62.034 * * [simplify]: Extracting #0: cost 1 inf + 0 62.034 * * [simplify]: Extracting #1: cost 4 inf + 0 62.034 * * [simplify]: Extracting #2: cost 5 inf + 1 62.034 * * [simplify]: Extracting #3: cost 7 inf + 1 62.034 * * [simplify]: Extracting #4: cost 9 inf + 1 62.034 * * [simplify]: Extracting #5: cost 11 inf + 1 62.034 * * [simplify]: Extracting #6: cost 14 inf + 1 62.034 * * [simplify]: Extracting #7: cost 15 inf + 2 62.034 * * [simplify]: Extracting #8: cost 17 inf + 2 62.034 * * [simplify]: Extracting #9: cost 16 inf + 3 62.034 * * [simplify]: Extracting #10: cost 12 inf + 313 62.034 * * [simplify]: Extracting #11: cost 8 inf + 945 62.035 * * [simplify]: Extracting #12: cost 4 inf + 1897 62.035 * * [simplify]: Extracting #13: cost 2 inf + 2533 62.035 * * [simplify]: Extracting #14: cost 0 inf + 3169 62.036 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 62.036 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 62.036 * * * * [progress]: [ 35 / 223 ] simplifiying candidate # 62.036 * [simplify]: Simplifying (/ (sqrt 1) 1) 62.036 * * [simplify]: iters left: 3 (3 enodes) 62.038 * * [simplify]: iters left: 2 (9 enodes) 62.040 * * [simplify]: iters left: 1 (11 enodes) 62.041 * * [simplify]: Extracting #0: cost 1 inf + 0 62.041 * * [simplify]: Extracting #1: cost 0 inf + 1 62.041 * [simplify]: Simplified to 1 62.041 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ (sqrt 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 62.042 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 62.042 * * [simplify]: iters left: 6 (11 enodes) 62.045 * * [simplify]: iters left: 5 (37 enodes) 62.055 * * [simplify]: iters left: 4 (39 enodes) 62.066 * * [simplify]: Extracting #0: cost 1 inf + 0 62.066 * * [simplify]: Extracting #1: cost 4 inf + 0 62.066 * * [simplify]: Extracting #2: cost 5 inf + 1 62.066 * * [simplify]: Extracting #3: cost 7 inf + 1 62.066 * * [simplify]: Extracting #4: cost 9 inf + 1 62.067 * * [simplify]: Extracting #5: cost 12 inf + 1 62.067 * * [simplify]: Extracting #6: cost 13 inf + 2 62.067 * * [simplify]: Extracting #7: cost 15 inf + 2 62.067 * * [simplify]: Extracting #8: cost 14 inf + 3 62.067 * * [simplify]: Extracting #9: cost 12 inf + 158 62.067 * * [simplify]: Extracting #10: cost 7 inf + 767 62.068 * * [simplify]: Extracting #11: cost 3 inf + 1639 62.068 * * [simplify]: Extracting #12: cost 0 inf + 2493 62.069 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 62.069 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 62.070 * * * * [progress]: [ 36 / 223 ] simplifiying candidate # 62.070 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 62.070 * * [simplify]: iters left: 6 (12 enodes) 62.076 * * [simplify]: iters left: 5 (42 enodes) 62.090 * * [simplify]: iters left: 4 (46 enodes) 62.105 * * [simplify]: Extracting #0: cost 1 inf + 0 62.105 * * [simplify]: Extracting #1: cost 6 inf + 0 62.105 * * [simplify]: Extracting #2: cost 9 inf + 1 62.105 * * [simplify]: Extracting #3: cost 11 inf + 1 62.105 * * [simplify]: Extracting #4: cost 13 inf + 1 62.105 * * [simplify]: Extracting #5: cost 15 inf + 1 62.105 * * [simplify]: Extracting #6: cost 18 inf + 1 62.105 * * [simplify]: Extracting #7: cost 19 inf + 2 62.105 * * [simplify]: Extracting #8: cost 21 inf + 2 62.106 * * [simplify]: Extracting #9: cost 18 inf + 117 62.106 * * [simplify]: Extracting #10: cost 15 inf + 451 62.106 * * [simplify]: Extracting #11: cost 10 inf + 1381 62.107 * * [simplify]: Extracting #12: cost 6 inf + 2573 62.108 * * [simplify]: Extracting #13: cost 3 inf + 3747 62.110 * * [simplify]: Extracting #14: cost 0 inf + 4921 62.111 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 62.111 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* (/ (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 62.112 * [simplify]: Simplifying (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 62.112 * * [simplify]: iters left: 6 (11 enodes) 62.118 * * [simplify]: iters left: 5 (37 enodes) 62.129 * * [simplify]: iters left: 4 (39 enodes) 62.141 * * [simplify]: Extracting #0: cost 1 inf + 0 62.141 * * [simplify]: Extracting #1: cost 4 inf + 0 62.141 * * [simplify]: Extracting #2: cost 5 inf + 1 62.141 * * [simplify]: Extracting #3: cost 7 inf + 1 62.141 * * [simplify]: Extracting #4: cost 9 inf + 1 62.141 * * [simplify]: Extracting #5: cost 11 inf + 1 62.141 * * [simplify]: Extracting #6: cost 14 inf + 1 62.141 * * [simplify]: Extracting #7: cost 15 inf + 2 62.142 * * [simplify]: Extracting #8: cost 17 inf + 2 62.142 * * [simplify]: Extracting #9: cost 15 inf + 60 62.142 * * [simplify]: Extracting #10: cost 12 inf + 353 62.142 * * [simplify]: Extracting #11: cost 7 inf + 1163 62.143 * * [simplify]: Extracting #12: cost 3 inf + 2235 62.144 * * [simplify]: Extracting #13: cost 0 inf + 3329 62.145 * [simplify]: Simplified to (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 62.145 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ 1 (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 62.145 * * * * [progress]: [ 37 / 223 ] simplifiying candidate # 62.146 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 62.146 * * [simplify]: iters left: 6 (12 enodes) 62.152 * * [simplify]: iters left: 5 (41 enodes) 62.165 * * [simplify]: iters left: 4 (43 enodes) 62.178 * * [simplify]: Extracting #0: cost 1 inf + 0 62.178 * * [simplify]: Extracting #1: cost 4 inf + 0 62.178 * * [simplify]: Extracting #2: cost 6 inf + 1 62.178 * * [simplify]: Extracting #3: cost 9 inf + 1 62.178 * * [simplify]: Extracting #4: cost 11 inf + 1 62.178 * * [simplify]: Extracting #5: cost 13 inf + 1 62.178 * * [simplify]: Extracting #6: cost 16 inf + 1 62.178 * * [simplify]: Extracting #7: cost 17 inf + 2 62.178 * * [simplify]: Extracting #8: cost 19 inf + 2 62.179 * * [simplify]: Extracting #9: cost 17 inf + 60 62.179 * * [simplify]: Extracting #10: cost 13 inf + 451 62.179 * * [simplify]: Extracting #11: cost 9 inf + 1163 62.180 * * [simplify]: Extracting #12: cost 2 inf + 3369 62.181 * * [simplify]: Extracting #13: cost 0 inf + 4085 62.183 * [simplify]: Simplified to (/ 1 (fabs (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 62.183 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* (/ 1 (fabs (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ 1 (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 62.183 * [simplify]: Simplifying (/ 1 (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 62.183 * * [simplify]: iters left: 6 (11 enodes) 62.188 * * [simplify]: iters left: 5 (37 enodes) 62.194 * * [simplify]: iters left: 4 (39 enodes) 62.200 * * [simplify]: Extracting #0: cost 1 inf + 0 62.200 * * [simplify]: Extracting #1: cost 4 inf + 0 62.200 * * [simplify]: Extracting #2: cost 5 inf + 1 62.200 * * [simplify]: Extracting #3: cost 7 inf + 1 62.200 * * [simplify]: Extracting #4: cost 9 inf + 1 62.200 * * [simplify]: Extracting #5: cost 11 inf + 1 62.200 * * [simplify]: Extracting #6: cost 14 inf + 1 62.200 * * [simplify]: Extracting #7: cost 15 inf + 2 62.201 * * [simplify]: Extracting #8: cost 17 inf + 2 62.201 * * [simplify]: Extracting #9: cost 15 inf + 60 62.201 * * [simplify]: Extracting #10: cost 12 inf + 353 62.201 * * [simplify]: Extracting #11: cost 7 inf + 1163 62.203 * * [simplify]: Extracting #12: cost 3 inf + 2315 62.204 * * [simplify]: Extracting #13: cost 0 inf + 3409 62.204 * [simplify]: Simplified to (/ 1 (sqrt (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 62.204 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ 1 (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ 1 (sqrt (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 62.204 * * * * [progress]: [ 38 / 223 ] simplifiying candidate # 62.205 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 62.205 * * [simplify]: iters left: 6 (11 enodes) 62.208 * * [simplify]: iters left: 5 (37 enodes) 62.214 * * [simplify]: iters left: 4 (39 enodes) 62.219 * * [simplify]: Extracting #0: cost 1 inf + 0 62.219 * * [simplify]: Extracting #1: cost 4 inf + 0 62.219 * * [simplify]: Extracting #2: cost 5 inf + 1 62.219 * * [simplify]: Extracting #3: cost 7 inf + 1 62.219 * * [simplify]: Extracting #4: cost 9 inf + 1 62.220 * * [simplify]: Extracting #5: cost 11 inf + 1 62.220 * * [simplify]: Extracting #6: cost 14 inf + 1 62.220 * * [simplify]: Extracting #7: cost 15 inf + 2 62.220 * * [simplify]: Extracting #8: cost 17 inf + 2 62.220 * * [simplify]: Extracting #9: cost 15 inf + 60 62.220 * * [simplify]: Extracting #10: cost 12 inf + 353 62.220 * * [simplify]: Extracting #11: cost 7 inf + 1163 62.220 * * [simplify]: Extracting #12: cost 3 inf + 2195 62.221 * * [simplify]: Extracting #13: cost 0 inf + 3169 62.221 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 62.221 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 62.222 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 62.222 * * [simplify]: iters left: 6 (11 enodes) 62.226 * * [simplify]: iters left: 5 (37 enodes) 62.237 * * [simplify]: iters left: 4 (39 enodes) 62.248 * * [simplify]: Extracting #0: cost 1 inf + 0 62.248 * * [simplify]: Extracting #1: cost 4 inf + 0 62.249 * * [simplify]: Extracting #2: cost 5 inf + 1 62.249 * * [simplify]: Extracting #3: cost 7 inf + 1 62.249 * * [simplify]: Extracting #4: cost 9 inf + 1 62.249 * * [simplify]: Extracting #5: cost 11 inf + 1 62.249 * * [simplify]: Extracting #6: cost 14 inf + 1 62.249 * * [simplify]: Extracting #7: cost 15 inf + 2 62.249 * * [simplify]: Extracting #8: cost 17 inf + 2 62.249 * * [simplify]: Extracting #9: cost 15 inf + 60 62.249 * * [simplify]: Extracting #10: cost 12 inf + 353 62.250 * * [simplify]: Extracting #11: cost 7 inf + 1163 62.250 * * [simplify]: Extracting #12: cost 3 inf + 2195 62.251 * * [simplify]: Extracting #13: cost 0 inf + 3169 62.252 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 62.252 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 62.252 * * * * [progress]: [ 39 / 223 ] simplifiying candidate # 62.252 * [simplify]: Simplifying (/ 1 (sqrt 1)) 62.252 * * [simplify]: iters left: 3 (3 enodes) 62.256 * * [simplify]: iters left: 2 (11 enodes) 62.257 * * [simplify]: iters left: 1 (13 enodes) 62.259 * * [simplify]: Extracting #0: cost 1 inf + 0 62.259 * * [simplify]: Extracting #1: cost 0 inf + 1 62.259 * [simplify]: Simplified to 1 62.259 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 62.260 * [simplify]: Simplifying (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 62.260 * * [simplify]: iters left: 6 (10 enodes) 62.262 * * [simplify]: iters left: 5 (34 enodes) 62.268 * * [simplify]: iters left: 4 (36 enodes) 62.273 * * [simplify]: Extracting #0: cost 1 inf + 0 62.273 * * [simplify]: Extracting #1: cost 4 inf + 0 62.273 * * [simplify]: Extracting #2: cost 5 inf + 1 62.273 * * [simplify]: Extracting #3: cost 7 inf + 1 62.273 * * [simplify]: Extracting #4: cost 9 inf + 1 62.273 * * [simplify]: Extracting #5: cost 12 inf + 1 62.273 * * [simplify]: Extracting #6: cost 13 inf + 2 62.273 * * [simplify]: Extracting #7: cost 15 inf + 2 62.273 * * [simplify]: Extracting #8: cost 13 inf + 60 62.273 * * [simplify]: Extracting #9: cost 9 inf + 451 62.274 * * [simplify]: Extracting #10: cost 4 inf + 1381 62.274 * * [simplify]: Extracting #11: cost 0 inf + 2493 62.274 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 62.274 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 62.275 * * * * [progress]: [ 40 / 223 ] simplifiying candidate # 62.275 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 1))) 62.275 * * [simplify]: iters left: 4 (4 enodes) 62.277 * * [simplify]: iters left: 3 (14 enodes) 62.279 * * [simplify]: iters left: 2 (16 enodes) 62.281 * * [simplify]: Extracting #0: cost 1 inf + 0 62.281 * * [simplify]: Extracting #1: cost 0 inf + 1 62.281 * [simplify]: Simplified to 1 62.281 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ 1 (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 62.281 * [simplify]: Simplifying (/ 1 (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 62.281 * * [simplify]: iters left: 6 (11 enodes) 62.285 * * [simplify]: iters left: 5 (37 enodes) 62.291 * * [simplify]: iters left: 4 (39 enodes) 62.297 * * [simplify]: Extracting #0: cost 1 inf + 0 62.297 * * [simplify]: Extracting #1: cost 4 inf + 0 62.297 * * [simplify]: Extracting #2: cost 5 inf + 1 62.297 * * [simplify]: Extracting #3: cost 7 inf + 1 62.297 * * [simplify]: Extracting #4: cost 9 inf + 1 62.297 * * [simplify]: Extracting #5: cost 12 inf + 1 62.297 * * [simplify]: Extracting #6: cost 13 inf + 2 62.297 * * [simplify]: Extracting #7: cost 15 inf + 2 62.297 * * [simplify]: Extracting #8: cost 14 inf + 3 62.297 * * [simplify]: Extracting #9: cost 12 inf + 158 62.297 * * [simplify]: Extracting #10: cost 7 inf + 767 62.298 * * [simplify]: Extracting #11: cost 3 inf + 1639 62.298 * * [simplify]: Extracting #12: cost 0 inf + 2493 62.299 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 62.299 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 62.299 * * * * [progress]: [ 41 / 223 ] simplifiying candidate # 62.299 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 1))) 62.299 * * [simplify]: iters left: 4 (4 enodes) 62.305 * * [simplify]: iters left: 3 (14 enodes) 62.308 * * [simplify]: iters left: 2 (16 enodes) 62.311 * * [simplify]: Extracting #0: cost 1 inf + 0 62.311 * * [simplify]: Extracting #1: cost 0 inf + 1 62.312 * [simplify]: Simplified to 1 62.312 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ 1 (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 62.312 * [simplify]: Simplifying (/ 1 (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 62.312 * * [simplify]: iters left: 6 (11 enodes) 62.318 * * [simplify]: iters left: 5 (37 enodes) 62.328 * * [simplify]: iters left: 4 (39 enodes) 62.339 * * [simplify]: Extracting #0: cost 1 inf + 0 62.339 * * [simplify]: Extracting #1: cost 4 inf + 0 62.339 * * [simplify]: Extracting #2: cost 5 inf + 1 62.339 * * [simplify]: Extracting #3: cost 7 inf + 1 62.339 * * [simplify]: Extracting #4: cost 9 inf + 1 62.339 * * [simplify]: Extracting #5: cost 12 inf + 1 62.339 * * [simplify]: Extracting #6: cost 13 inf + 2 62.339 * * [simplify]: Extracting #7: cost 15 inf + 2 62.339 * * [simplify]: Extracting #8: cost 14 inf + 3 62.340 * * [simplify]: Extracting #9: cost 12 inf + 158 62.340 * * [simplify]: Extracting #10: cost 7 inf + 767 62.340 * * [simplify]: Extracting #11: cost 3 inf + 1639 62.341 * * [simplify]: Extracting #12: cost 0 inf + 2493 62.342 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 62.342 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 62.342 * * * * [progress]: [ 42 / 223 ] simplifiying candidate # 62.342 * [simplify]: Simplifying (/ 1 (sqrt 1)) 62.342 * * [simplify]: iters left: 3 (3 enodes) 62.348 * * [simplify]: iters left: 2 (11 enodes) 62.351 * * [simplify]: iters left: 1 (13 enodes) 62.354 * * [simplify]: Extracting #0: cost 1 inf + 0 62.354 * * [simplify]: Extracting #1: cost 0 inf + 1 62.354 * [simplify]: Simplified to 1 62.354 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 62.354 * [simplify]: Simplifying (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 62.355 * * [simplify]: iters left: 6 (10 enodes) 62.359 * * [simplify]: iters left: 5 (34 enodes) 62.369 * * [simplify]: iters left: 4 (36 enodes) 62.378 * * [simplify]: Extracting #0: cost 1 inf + 0 62.378 * * [simplify]: Extracting #1: cost 4 inf + 0 62.379 * * [simplify]: Extracting #2: cost 5 inf + 1 62.379 * * [simplify]: Extracting #3: cost 7 inf + 1 62.379 * * [simplify]: Extracting #4: cost 9 inf + 1 62.379 * * [simplify]: Extracting #5: cost 12 inf + 1 62.379 * * [simplify]: Extracting #6: cost 13 inf + 2 62.379 * * [simplify]: Extracting #7: cost 15 inf + 2 62.379 * * [simplify]: Extracting #8: cost 13 inf + 60 62.379 * * [simplify]: Extracting #9: cost 9 inf + 451 62.379 * * [simplify]: Extracting #10: cost 4 inf + 1381 62.380 * * [simplify]: Extracting #11: cost 0 inf + 2493 62.381 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 62.381 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 62.381 * * * * [progress]: [ 43 / 223 ] simplifiying candidate # 62.381 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 62.382 * * [simplify]: iters left: 6 (11 enodes) 62.386 * * [simplify]: iters left: 5 (37 enodes) 62.397 * * [simplify]: iters left: 4 (39 enodes) 62.406 * * [simplify]: Extracting #0: cost 1 inf + 0 62.407 * * [simplify]: Extracting #1: cost 4 inf + 0 62.407 * * [simplify]: Extracting #2: cost 5 inf + 1 62.407 * * [simplify]: Extracting #3: cost 7 inf + 1 62.407 * * [simplify]: Extracting #4: cost 9 inf + 1 62.407 * * [simplify]: Extracting #5: cost 11 inf + 1 62.407 * * [simplify]: Extracting #6: cost 14 inf + 1 62.407 * * [simplify]: Extracting #7: cost 15 inf + 2 62.407 * * [simplify]: Extracting #8: cost 17 inf + 2 62.407 * * [simplify]: Extracting #9: cost 15 inf + 60 62.407 * * [simplify]: Extracting #10: cost 12 inf + 353 62.408 * * [simplify]: Extracting #11: cost 7 inf + 1163 62.408 * * [simplify]: Extracting #12: cost 3 inf + 2195 62.409 * * [simplify]: Extracting #13: cost 0 inf + 3169 62.410 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 62.410 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 62.410 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 62.410 * * [simplify]: iters left: 6 (11 enodes) 62.415 * * [simplify]: iters left: 5 (37 enodes) 62.420 * * [simplify]: iters left: 4 (39 enodes) 62.426 * * [simplify]: Extracting #0: cost 1 inf + 0 62.426 * * [simplify]: Extracting #1: cost 4 inf + 0 62.426 * * [simplify]: Extracting #2: cost 5 inf + 1 62.426 * * [simplify]: Extracting #3: cost 7 inf + 1 62.426 * * [simplify]: Extracting #4: cost 9 inf + 1 62.426 * * [simplify]: Extracting #5: cost 11 inf + 1 62.426 * * [simplify]: Extracting #6: cost 14 inf + 1 62.426 * * [simplify]: Extracting #7: cost 15 inf + 2 62.426 * * [simplify]: Extracting #8: cost 17 inf + 2 62.427 * * [simplify]: Extracting #9: cost 15 inf + 60 62.427 * * [simplify]: Extracting #10: cost 12 inf + 353 62.427 * * [simplify]: Extracting #11: cost 7 inf + 1163 62.427 * * [simplify]: Extracting #12: cost 3 inf + 2195 62.428 * * [simplify]: Extracting #13: cost 0 inf + 3169 62.428 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 62.428 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 62.428 * * * * [progress]: [ 44 / 223 ] simplifiying candidate # 62.429 * [simplify]: Simplifying (/ 1 1) 62.429 * * [simplify]: iters left: 2 (2 enodes) 62.429 * * [simplify]: iters left: 1 (6 enodes) 62.433 * * [simplify]: Extracting #0: cost 1 inf + 0 62.433 * * [simplify]: Extracting #1: cost 0 inf + 1 62.433 * [simplify]: Simplified to 1 62.433 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 62.433 * [simplify]: Simplifying (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 62.433 * * [simplify]: iters left: 6 (10 enodes) 62.436 * * [simplify]: iters left: 5 (34 enodes) 62.441 * * [simplify]: iters left: 4 (36 enodes) 62.447 * * [simplify]: Extracting #0: cost 1 inf + 0 62.447 * * [simplify]: Extracting #1: cost 4 inf + 0 62.447 * * [simplify]: Extracting #2: cost 5 inf + 1 62.447 * * [simplify]: Extracting #3: cost 7 inf + 1 62.447 * * [simplify]: Extracting #4: cost 9 inf + 1 62.447 * * [simplify]: Extracting #5: cost 12 inf + 1 62.447 * * [simplify]: Extracting #6: cost 13 inf + 2 62.447 * * [simplify]: Extracting #7: cost 15 inf + 2 62.448 * * [simplify]: Extracting #8: cost 13 inf + 60 62.448 * * [simplify]: Extracting #9: cost 9 inf + 451 62.448 * * [simplify]: Extracting #10: cost 4 inf + 1381 62.448 * * [simplify]: Extracting #11: cost 0 inf + 2493 62.449 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 62.449 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 62.449 * * * * [progress]: [ 45 / 223 ] simplifiying candidate # 62.449 * * * * [progress]: [ 46 / 223 ] simplifiying candidate # 62.449 * * * * [progress]: [ 47 / 223 ] simplifiying candidate # 62.449 * * * * [progress]: [ 48 / 223 ] simplifiying candidate # 62.449 * [simplify]: Simplifying (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 62.449 * * [simplify]: iters left: 6 (10 enodes) 62.452 * * [simplify]: iters left: 5 (34 enodes) 62.457 * * [simplify]: iters left: 4 (36 enodes) 62.462 * * [simplify]: Extracting #0: cost 1 inf + 0 62.462 * * [simplify]: Extracting #1: cost 3 inf + 0 62.462 * * [simplify]: Extracting #2: cost 5 inf + 0 62.462 * * [simplify]: Extracting #3: cost 8 inf + 0 62.462 * * [simplify]: Extracting #4: cost 9 inf + 1 62.463 * * [simplify]: Extracting #5: cost 12 inf + 1 62.463 * * [simplify]: Extracting #6: cost 13 inf + 2 62.463 * * [simplify]: Extracting #7: cost 15 inf + 2 62.463 * * [simplify]: Extracting #8: cost 13 inf + 60 62.463 * * [simplify]: Extracting #9: cost 9 inf + 451 62.463 * * [simplify]: Extracting #10: cost 4 inf + 1381 62.463 * * [simplify]: Extracting #11: cost 0 inf + 2573 62.464 * [simplify]: Simplified to (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 62.464 * [simplify]: Simplified (2 1 2) to (λ (x) (* (/ (/ 1 (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 62.464 * * * * [progress]: [ 49 / 223 ] simplifiying candidate # 62.464 * [simplify]: Simplifying (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 62.464 * * [simplify]: iters left: 6 (10 enodes) 62.467 * * [simplify]: iters left: 5 (34 enodes) 62.476 * * [simplify]: iters left: 4 (36 enodes) 62.486 * * [simplify]: Extracting #0: cost 1 inf + 0 62.486 * * [simplify]: Extracting #1: cost 3 inf + 0 62.486 * * [simplify]: Extracting #2: cost 5 inf + 0 62.486 * * [simplify]: Extracting #3: cost 8 inf + 0 62.486 * * [simplify]: Extracting #4: cost 9 inf + 1 62.486 * * [simplify]: Extracting #5: cost 12 inf + 1 62.486 * * [simplify]: Extracting #6: cost 13 inf + 2 62.486 * * [simplify]: Extracting #7: cost 15 inf + 2 62.486 * * [simplify]: Extracting #8: cost 13 inf + 60 62.486 * * [simplify]: Extracting #9: cost 9 inf + 451 62.487 * * [simplify]: Extracting #10: cost 4 inf + 1381 62.487 * * [simplify]: Extracting #11: cost 0 inf + 2653 62.488 * [simplify]: Simplified to (sqrt (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 62.488 * [simplify]: Simplified (2 1 2) to (λ (x) (* (/ (/ 1 (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (sqrt (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 62.488 * * * * [progress]: [ 50 / 223 ] simplifiying candidate # 62.489 * [simplify]: Simplifying (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 62.489 * * [simplify]: iters left: 6 (10 enodes) 62.493 * * [simplify]: iters left: 5 (34 enodes) 62.502 * * [simplify]: iters left: 4 (36 enodes) 62.512 * * [simplify]: Extracting #0: cost 1 inf + 0 62.512 * * [simplify]: Extracting #1: cost 3 inf + 0 62.512 * * [simplify]: Extracting #2: cost 5 inf + 0 62.512 * * [simplify]: Extracting #3: cost 8 inf + 0 62.512 * * [simplify]: Extracting #4: cost 9 inf + 1 62.512 * * [simplify]: Extracting #5: cost 12 inf + 1 62.512 * * [simplify]: Extracting #6: cost 13 inf + 2 62.512 * * [simplify]: Extracting #7: cost 15 inf + 2 62.512 * * [simplify]: Extracting #8: cost 13 inf + 60 62.513 * * [simplify]: Extracting #9: cost 9 inf + 451 62.513 * * [simplify]: Extracting #10: cost 4 inf + 1381 62.514 * * [simplify]: Extracting #11: cost 0 inf + 2493 62.515 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 62.515 * [simplify]: Simplified (2 1 2) to (λ (x) (* (/ (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 62.515 * * * * [progress]: [ 51 / 223 ] simplifiying candidate # 62.516 * [simplify]: Simplifying (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 62.516 * * [simplify]: iters left: 6 (9 enodes) 62.521 * * [simplify]: iters left: 5 (31 enodes) 62.532 * * [simplify]: iters left: 4 (33 enodes) 62.542 * * [simplify]: Extracting #0: cost 1 inf + 0 62.542 * * [simplify]: Extracting #1: cost 3 inf + 0 62.542 * * [simplify]: Extracting #2: cost 6 inf + 0 62.542 * * [simplify]: Extracting #3: cost 7 inf + 1 62.542 * * [simplify]: Extracting #4: cost 10 inf + 1 62.542 * * [simplify]: Extracting #5: cost 11 inf + 2 62.542 * * [simplify]: Extracting #6: cost 13 inf + 2 62.543 * * [simplify]: Extracting #7: cost 10 inf + 117 62.543 * * [simplify]: Extracting #8: cost 8 inf + 353 62.543 * * [simplify]: Extracting #9: cost 4 inf + 985 62.544 * * [simplify]: Extracting #10: cost 0 inf + 1897 62.544 * [simplify]: Simplified to (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 62.544 * [simplify]: Simplified (2 1 2) to (λ (x) (* (/ (/ 1 (sqrt 1)) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 62.545 * * * * [progress]: [ 52 / 223 ] simplifiying candidate # 62.545 * [simplify]: Simplifying (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 62.545 * * [simplify]: iters left: 6 (10 enodes) 62.551 * * [simplify]: iters left: 5 (34 enodes) 62.564 * * [simplify]: iters left: 4 (36 enodes) 62.575 * * [simplify]: Extracting #0: cost 1 inf + 0 62.575 * * [simplify]: Extracting #1: cost 3 inf + 0 62.575 * * [simplify]: Extracting #2: cost 6 inf + 0 62.575 * * [simplify]: Extracting #3: cost 7 inf + 1 62.575 * * [simplify]: Extracting #4: cost 10 inf + 1 62.575 * * [simplify]: Extracting #5: cost 11 inf + 2 62.575 * * [simplify]: Extracting #6: cost 13 inf + 2 62.575 * * [simplify]: Extracting #7: cost 12 inf + 3 62.576 * * [simplify]: Extracting #8: cost 9 inf + 215 62.576 * * [simplify]: Extracting #9: cost 4 inf + 945 62.576 * * [simplify]: Extracting #10: cost 0 inf + 1897 62.577 * [simplify]: Simplified to (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 62.577 * [simplify]: Simplified (2 1 2) to (λ (x) (* (/ (/ 1 (sqrt (sqrt 1))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 62.578 * * * * [progress]: [ 53 / 223 ] simplifiying candidate # 62.578 * [simplify]: Simplifying (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 62.578 * * [simplify]: iters left: 6 (10 enodes) 62.584 * * [simplify]: iters left: 5 (34 enodes) 62.594 * * [simplify]: iters left: 4 (36 enodes) 62.604 * * [simplify]: Extracting #0: cost 1 inf + 0 62.604 * * [simplify]: Extracting #1: cost 3 inf + 0 62.604 * * [simplify]: Extracting #2: cost 6 inf + 0 62.604 * * [simplify]: Extracting #3: cost 7 inf + 1 62.605 * * [simplify]: Extracting #4: cost 10 inf + 1 62.605 * * [simplify]: Extracting #5: cost 11 inf + 2 62.605 * * [simplify]: Extracting #6: cost 13 inf + 2 62.605 * * [simplify]: Extracting #7: cost 12 inf + 3 62.605 * * [simplify]: Extracting #8: cost 9 inf + 215 62.605 * * [simplify]: Extracting #9: cost 4 inf + 945 62.606 * * [simplify]: Extracting #10: cost 0 inf + 1897 62.606 * [simplify]: Simplified to (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 62.607 * [simplify]: Simplified (2 1 2) to (λ (x) (* (/ (/ 1 (sqrt (sqrt 1))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 62.607 * * * * [progress]: [ 54 / 223 ] simplifiying candidate # 62.607 * [simplify]: Simplifying (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 62.607 * * [simplify]: iters left: 6 (9 enodes) 62.612 * * [simplify]: iters left: 5 (31 enodes) 62.621 * * [simplify]: iters left: 4 (33 enodes) 62.631 * * [simplify]: Extracting #0: cost 1 inf + 0 62.631 * * [simplify]: Extracting #1: cost 3 inf + 0 62.631 * * [simplify]: Extracting #2: cost 6 inf + 0 62.631 * * [simplify]: Extracting #3: cost 7 inf + 1 62.631 * * [simplify]: Extracting #4: cost 10 inf + 1 62.632 * * [simplify]: Extracting #5: cost 11 inf + 2 62.632 * * [simplify]: Extracting #6: cost 13 inf + 2 62.632 * * [simplify]: Extracting #7: cost 10 inf + 117 62.632 * * [simplify]: Extracting #8: cost 8 inf + 353 62.632 * * [simplify]: Extracting #9: cost 4 inf + 985 62.633 * * [simplify]: Extracting #10: cost 0 inf + 1897 62.633 * [simplify]: Simplified to (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 62.633 * [simplify]: Simplified (2 1 2) to (λ (x) (* (/ (/ 1 (sqrt 1)) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 62.634 * * * * [progress]: [ 55 / 223 ] simplifiying candidate # 62.634 * [simplify]: Simplifying (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 62.634 * * [simplify]: iters left: 6 (10 enodes) 62.639 * * [simplify]: iters left: 5 (34 enodes) 62.650 * * [simplify]: iters left: 4 (36 enodes) 62.658 * * [simplify]: Extracting #0: cost 1 inf + 0 62.658 * * [simplify]: Extracting #1: cost 3 inf + 0 62.658 * * [simplify]: Extracting #2: cost 5 inf + 0 62.658 * * [simplify]: Extracting #3: cost 8 inf + 0 62.658 * * [simplify]: Extracting #4: cost 9 inf + 1 62.658 * * [simplify]: Extracting #5: cost 12 inf + 1 62.658 * * [simplify]: Extracting #6: cost 13 inf + 2 62.658 * * [simplify]: Extracting #7: cost 15 inf + 2 62.658 * * [simplify]: Extracting #8: cost 13 inf + 60 62.658 * * [simplify]: Extracting #9: cost 9 inf + 451 62.659 * * [simplify]: Extracting #10: cost 4 inf + 1381 62.659 * * [simplify]: Extracting #11: cost 0 inf + 2493 62.659 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 62.660 * [simplify]: Simplified (2 1 2) to (λ (x) (* (/ (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 62.660 * * * * [progress]: [ 56 / 223 ] simplifiying candidate # 62.660 * [simplify]: Simplifying (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 62.660 * * [simplify]: iters left: 6 (9 enodes) 62.662 * * [simplify]: iters left: 5 (31 enodes) 62.667 * * [simplify]: iters left: 4 (33 enodes) 62.672 * * [simplify]: Extracting #0: cost 1 inf + 0 62.672 * * [simplify]: Extracting #1: cost 3 inf + 0 62.673 * * [simplify]: Extracting #2: cost 6 inf + 0 62.673 * * [simplify]: Extracting #3: cost 7 inf + 1 62.673 * * [simplify]: Extracting #4: cost 10 inf + 1 62.673 * * [simplify]: Extracting #5: cost 11 inf + 2 62.673 * * [simplify]: Extracting #6: cost 13 inf + 2 62.673 * * [simplify]: Extracting #7: cost 10 inf + 117 62.673 * * [simplify]: Extracting #8: cost 8 inf + 353 62.673 * * [simplify]: Extracting #9: cost 4 inf + 985 62.673 * * [simplify]: Extracting #10: cost 0 inf + 1897 62.674 * [simplify]: Simplified to (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 62.674 * [simplify]: Simplified (2 1 2) to (λ (x) (* (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 62.674 * * * * [progress]: [ 57 / 223 ] simplifiying candidate # 62.674 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 62.674 * * [simplify]: iters left: 3 (3 enodes) 62.679 * * [simplify]: iters left: 2 (11 enodes) 62.681 * * [simplify]: iters left: 1 (13 enodes) 62.683 * * [simplify]: Extracting #0: cost 1 inf + 0 62.683 * * [simplify]: Extracting #1: cost 0 inf + 1 62.683 * [simplify]: Simplified to 1 62.683 * [simplify]: Simplified (2 1 1) to (λ (x) (* (/ 1 (/ (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt 1))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 62.683 * * * * [progress]: [ 58 / 223 ] simplifiying candidate # 62.684 * [simplify]: Simplifying (sqrt 1) 62.684 * * [simplify]: iters left: 1 (2 enodes) 62.685 * * [simplify]: Extracting #0: cost 1 inf + 0 62.685 * * [simplify]: Extracting #1: cost 0 inf + 1 62.685 * [simplify]: Simplified to 1 62.685 * [simplify]: Simplified (2 1 1) to (λ (x) (* (/ 1 (/ (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt 1))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 62.686 * * * * [progress]: [ 59 / 223 ] simplifiying candidate # 62.686 * * * * [progress]: [ 60 / 223 ] simplifiying candidate # 62.686 * [simplify]: Simplifying (sqrt (+ (* 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)))))) 62.686 * * [simplify]: iters left: 6 (13 enodes) 62.696 * * [simplify]: iters left: 5 (47 enodes) 62.712 * * [simplify]: iters left: 4 (89 enodes) 62.746 * * [simplify]: iters left: 3 (163 enodes) 62.799 * * [simplify]: iters left: 2 (271 enodes) 62.897 * * [simplify]: iters left: 1 (389 enodes) 63.062 * * [simplify]: Extracting #0: cost 1 inf + 0 63.062 * * [simplify]: Extracting #1: cost 3 inf + 0 63.062 * * [simplify]: Extracting #2: cost 40 inf + 0 63.063 * * [simplify]: Extracting #3: cost 61 inf + 5 63.063 * * [simplify]: Extracting #4: cost 62 inf + 6 63.064 * * [simplify]: Extracting #5: cost 46 inf + 1959 63.067 * * [simplify]: Extracting #6: cost 11 inf + 9397 63.073 * * [simplify]: Extracting #7: cost 0 inf + 12119 63.083 * [simplify]: Simplified to (sqrt (- (+ (/ 1/2 (hypot 1 x)) 1/2) (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 63.083 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ 1 (sqrt (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))) (sqrt (- (+ (/ 1/2 (hypot 1 x)) 1/2) (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 63.084 * * * * [progress]: [ 61 / 223 ] simplifiying candidate # 63.084 * [simplify]: Simplifying (sqrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 63.084 * * [simplify]: iters left: 6 (9 enodes) 63.089 * * [simplify]: iters left: 5 (32 enodes) 63.099 * * [simplify]: iters left: 4 (37 enodes) 63.109 * * [simplify]: Extracting #0: cost 1 inf + 0 63.109 * * [simplify]: Extracting #1: cost 3 inf + 0 63.109 * * [simplify]: Extracting #2: cost 7 inf + 0 63.109 * * [simplify]: Extracting #3: cost 9 inf + 1 63.110 * * [simplify]: Extracting #4: cost 12 inf + 1 63.110 * * [simplify]: Extracting #5: cost 13 inf + 2 63.110 * * [simplify]: Extracting #6: cost 15 inf + 2 63.110 * * [simplify]: Extracting #7: cost 13 inf + 60 63.110 * * [simplify]: Extracting #8: cost 10 inf + 353 63.110 * * [simplify]: Extracting #9: cost 3 inf + 1599 63.110 * * [simplify]: Extracting #10: cost 0 inf + 2333 63.114 * [simplify]: Simplified to (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 63.114 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ 1 (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 63.114 * * * * [progress]: [ 62 / 223 ] simplifiying candidate #real (real->posit16 (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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)))))))))> 63.114 * * * * [progress]: [ 63 / 223 ] simplifiying candidate # 63.114 * * * * [progress]: [ 64 / 223 ] simplifiying candidate # 63.114 * * * * [progress]: [ 65 / 223 ] simplifiying candidate # 63.114 * [simplify]: Simplifying (* (sqrt (+ 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)))))) 63.115 * * [simplify]: iters left: 6 (15 enodes) 63.120 * * [simplify]: iters left: 5 (68 enodes) 63.132 * * [simplify]: iters left: 4 (118 enodes) 63.162 * * [simplify]: iters left: 3 (247 enodes) 63.252 * * [simplify]: iters left: 2 (414 enodes) 63.365 * * [simplify]: Extracting #0: cost 1 inf + 0 63.365 * * [simplify]: Extracting #1: cost 29 inf + 0 63.366 * * [simplify]: Extracting #2: cost 72 inf + 2 63.367 * * [simplify]: Extracting #3: cost 89 inf + 2 63.367 * * [simplify]: Extracting #4: cost 88 inf + 4 63.369 * * [simplify]: Extracting #5: cost 56 inf + 5146 63.377 * * [simplify]: Extracting #6: cost 11 inf + 17466 63.386 * * [simplify]: Extracting #7: cost 0 inf + 21078 63.396 * * [simplify]: Extracting #8: cost 0 inf + 21038 63.411 * [simplify]: Simplified to (* (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 63.411 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (pow (* (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 1)))) 63.411 * * * * [progress]: [ 66 / 223 ] simplifiying candidate # 63.411 * * * * [progress]: [ 67 / 223 ] simplifiying candidate # 63.412 * [simplify]: Simplifying (+ (log (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (log (+ (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))))) 63.412 * * [simplify]: iters left: 6 (17 enodes) 63.422 * * [simplify]: iters left: 5 (68 enodes) 63.442 * * [simplify]: iters left: 4 (84 enodes) 63.467 * * [simplify]: iters left: 3 (103 enodes) 63.495 * * [simplify]: iters left: 2 (128 enodes) 63.535 * * [simplify]: iters left: 1 (154 enodes) 63.572 * * [simplify]: Extracting #0: cost 1 inf + 0 63.572 * * [simplify]: Extracting #1: cost 8 inf + 0 63.573 * * [simplify]: Extracting #2: cost 16 inf + 0 63.573 * * [simplify]: Extracting #3: cost 32 inf + 1 63.573 * * [simplify]: Extracting #4: cost 49 inf + 73 63.573 * * [simplify]: Extracting #5: cost 54 inf + 145 63.574 * * [simplify]: Extracting #6: cost 29 inf + 4162 63.576 * * [simplify]: Extracting #7: cost 8 inf + 8294 63.578 * * [simplify]: Extracting #8: cost 0 inf + 10604 63.580 * [simplify]: Simplified to (+ (log (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (log (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4))) 63.580 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (exp (+ (log (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (log (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4))))))) 63.581 * * * * [progress]: [ 68 / 223 ] simplifiying candidate # 63.581 * * * * [progress]: [ 69 / 223 ] simplifiying candidate # 63.581 * * * * [progress]: [ 70 / 223 ] simplifiying candidate # 63.581 * [simplify]: Simplifying (* (* (* (sqrt (+ 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))))) (* (* (+ (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))) (+ (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x)))))) (+ (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))))) 63.581 * * [simplify]: iters left: 6 (19 enodes) 63.587 * * [simplify]: iters left: 5 (90 enodes) 63.609 * * [simplify]: iters left: 4 (306 enodes) 63.824 * * [simplify]: Extracting #0: cost 1 inf + 0 63.824 * * [simplify]: Extracting #1: cost 59 inf + 0 63.824 * * [simplify]: Extracting #2: cost 335 inf + 0 63.826 * * [simplify]: Extracting #3: cost 665 inf + 4 63.832 * * [simplify]: Extracting #4: cost 593 inf + 17873 63.877 * * [simplify]: Extracting #5: cost 239 inf + 142859 63.950 * * [simplify]: Extracting #6: cost 5 inf + 236642 64.024 * * [simplify]: Extracting #7: cost 0 inf + 238693 64.117 * [simplify]: Simplified to (* (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (* (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)) 1/4) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)) 1/4)) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)) 1/4))) 64.117 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (cbrt (* (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (* (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)) 1/4) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)) 1/4)) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)) 1/4))))))) 64.117 * * * * [progress]: [ 71 / 223 ] simplifiying candidate # 64.117 * * * * [progress]: [ 72 / 223 ] simplifiying candidate # 64.117 * * * * [progress]: [ 73 / 223 ] simplifiying candidate # 64.117 * * * * [progress]: [ 74 / 223 ] simplifiying candidate # 64.118 * [simplify]: Simplifying (* (sqrt (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))) (+ (pow (* 1/2 1/2) 3) (pow (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x)))) 3))) 64.118 * * [simplify]: iters left: 6 (20 enodes) 64.126 * * [simplify]: iters left: 5 (102 enodes) 64.150 * * [simplify]: iters left: 4 (225 enodes) 64.280 * * [simplify]: Extracting #0: cost 1 inf + 0 64.280 * * [simplify]: Extracting #1: cost 20 inf + 0 64.281 * * [simplify]: Extracting #2: cost 131 inf + 1 64.282 * * [simplify]: Extracting #3: cost 202 inf + 5 64.287 * * [simplify]: Extracting #4: cost 147 inf + 13277 64.312 * * [simplify]: Extracting #5: cost 30 inf + 49885 64.346 * * [simplify]: Extracting #6: cost 2 inf + 61515 64.380 * * [simplify]: Extracting #7: cost 0 inf + 62854 64.398 * [simplify]: Simplified to (* (sqrt (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1)) (fma (* (* (+ 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 (hypot 1 x))) (/ 1/2 (hypot 1 x))) 1/64)) 64.398 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (/ (* (sqrt (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1)) (fma (* (* (+ 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 (hypot 1 x))) (/ 1/2 (hypot 1 x))) 1/64)) (* (sqrt (+ (* 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)))))) (+ (* (* 1/2 1/2) (* 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 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))) (* (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x)))))))))))) 64.399 * [simplify]: Simplifying (* (sqrt (+ (* 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)))))) (+ (* (* 1/2 1/2) (* 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 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))) (* (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x)))))))) 64.399 * * [simplify]: iters left: 6 (23 enodes) 64.414 * * [simplify]: iters left: 5 (122 enodes) 64.451 * * [simplify]: iters left: 4 (398 enodes) 64.663 * * [simplify]: Extracting #0: cost 1 inf + 0 64.663 * * [simplify]: Extracting #1: cost 29 inf + 0 64.664 * * [simplify]: Extracting #2: cost 148 inf + 1 64.666 * * [simplify]: Extracting #3: cost 282 inf + 6 64.673 * * [simplify]: Extracting #4: cost 227 inf + 14664 64.703 * * [simplify]: Extracting #5: cost 32 inf + 68844 64.726 * * [simplify]: Extracting #6: cost 0 inf + 79400 64.768 * * [simplify]: Extracting #7: cost 0 inf + 79370 64.796 * [simplify]: Simplified to (* (fma (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (/ 1/2 (hypot 1 x)) -1/4) (* (+ (/ 1/2 (hypot 1 x)) 1/2) (/ 1/2 (hypot 1 x))) 1/16) (sqrt (+ 1 (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 64.796 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (/ (* (sqrt (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1)) (fma (* (* (+ 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 (hypot 1 x))) (/ 1/2 (hypot 1 x))) 1/64)) (* (fma (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (/ 1/2 (hypot 1 x)) -1/4) (* (+ (/ 1/2 (hypot 1 x)) 1/2) (/ 1/2 (hypot 1 x))) 1/16) (sqrt (+ 1 (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 64.796 * * * * [progress]: [ 75 / 223 ] simplifiying candidate # 64.797 * [simplify]: Simplifying (* (sqrt (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))) (- (* (* 1/2 1/2) (* 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 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))))) 64.797 * * [simplify]: iters left: 6 (20 enodes) 64.807 * * [simplify]: iters left: 5 (99 enodes) 64.827 * * [simplify]: iters left: 4 (225 enodes) 64.931 * * [simplify]: Extracting #0: cost 1 inf + 0 64.931 * * [simplify]: Extracting #1: cost 15 inf + 0 64.931 * * [simplify]: Extracting #2: cost 90 inf + 1 64.932 * * [simplify]: Extracting #3: cost 177 inf + 3 64.933 * * [simplify]: Extracting #4: cost 216 inf + 6 64.935 * * [simplify]: Extracting #5: cost 157 inf + 11418 64.945 * * [simplify]: Extracting #6: cost 31 inf + 45136 64.964 * * [simplify]: Extracting #7: cost 0 inf + 55092 64.987 * * [simplify]: Extracting #8: cost 0 inf + 55012 65.004 * [simplify]: Simplified to (* (sqrt (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1)) (- 1/16 (* (* (+ 1/2 (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)))))) 65.004 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (/ (* (sqrt (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1)) (- 1/16 (* (* (+ 1/2 (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)))))) (* (sqrt (+ (* 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)))))) (- (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x)))))))))) 65.004 * [simplify]: Simplifying (* (sqrt (+ (* 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)))))) (- (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x)))))) 65.005 * * [simplify]: iters left: 6 (19 enodes) 65.010 * * [simplify]: iters left: 5 (79 enodes) 65.024 * * [simplify]: iters left: 4 (147 enodes) 65.052 * * [simplify]: iters left: 3 (304 enodes) 65.161 * * [simplify]: Extracting #0: cost 1 inf + 0 65.161 * * [simplify]: Extracting #1: cost 4 inf + 0 65.161 * * [simplify]: Extracting #2: cost 19 inf + 0 65.161 * * [simplify]: Extracting #3: cost 72 inf + 2 65.162 * * [simplify]: Extracting #4: cost 103 inf + 7 65.163 * * [simplify]: Extracting #5: cost 95 inf + 1032 65.169 * * [simplify]: Extracting #6: cost 24 inf + 13676 65.180 * * [simplify]: Extracting #7: cost 2 inf + 18315 65.185 * * [simplify]: Extracting #8: cost 0 inf + 18953 65.191 * [simplify]: Simplified to (* (sqrt (+ 1 (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- 1/4 (* (+ (/ 1/2 (hypot 1 x)) 1/2) (/ 1/2 (hypot 1 x))))) 65.191 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (/ (* (sqrt (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1)) (- 1/16 (* (* (+ 1/2 (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)))))) (* (sqrt (+ 1 (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- 1/4 (* (+ (/ 1/2 (hypot 1 x)) 1/2) (/ 1/2 (hypot 1 x))))))))) 65.192 * * * * [progress]: [ 76 / 223 ] simplifiying candidate # 65.192 * [simplify]: Simplifying (* (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (+ (pow (* 1/2 1/2) 3) (pow (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x)))) 3))) 65.192 * * [simplify]: iters left: 6 (20 enodes) 65.200 * * [simplify]: iters left: 5 (96 enodes) 65.230 * * [simplify]: iters left: 4 (218 enodes) 65.342 * * [simplify]: Extracting #0: cost 1 inf + 0 65.342 * * [simplify]: Extracting #1: cost 20 inf + 0 65.342 * * [simplify]: Extracting #2: cost 137 inf + 1 65.343 * * [simplify]: Extracting #3: cost 217 inf + 4 65.346 * * [simplify]: Extracting #4: cost 173 inf + 10488 65.361 * * [simplify]: Extracting #5: cost 37 inf + 50600 65.385 * * [simplify]: Extracting #6: cost 0 inf + 63127 65.402 * [simplify]: Simplified to (* (fma (* (+ (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)) (/ 1/4 (hypot 1 x))) (+ (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)) (/ 1/4 (hypot 1 x)))) (+ (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)) (/ 1/4 (hypot 1 x))) 1/64) (sqrt (- 1/2 (/ 1/2 (hypot 1 x))))) 65.402 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (/ (* (fma (* (+ (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)) (/ 1/4 (hypot 1 x))) (+ (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)) (/ 1/4 (hypot 1 x)))) (+ (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)) (/ 1/4 (hypot 1 x))) 1/64) (sqrt (- 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* (* 1/2 1/2) (* 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 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))) (* (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x)))))))))))) 65.403 * [simplify]: Simplifying (* (sqrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* (* 1/2 1/2) (* 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 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))) (* (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x)))))))) 65.403 * * [simplify]: iters left: 6 (19 enodes) 65.410 * * [simplify]: iters left: 5 (105 enodes) 65.460 * * [simplify]: iters left: 4 (348 enodes) 65.695 * * [simplify]: Extracting #0: cost 1 inf + 0 65.695 * * [simplify]: Extracting #1: cost 27 inf + 0 65.695 * * [simplify]: Extracting #2: cost 135 inf + 4 65.696 * * [simplify]: Extracting #3: cost 236 inf + 6 65.700 * * [simplify]: Extracting #4: cost 171 inf + 14741 65.715 * * [simplify]: Extracting #5: cost 14 inf + 58406 65.751 * * [simplify]: Extracting #6: cost 0 inf + 62411 65.787 * * [simplify]: Extracting #7: cost 0 inf + 62330 65.805 * * [simplify]: Extracting #8: cost 0 inf + 62329 65.828 * [simplify]: Simplified to (* (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (fma (* (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x)))) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)) -1/4) 1/16)) 65.828 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (/ (* (fma (* (+ (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)) (/ 1/4 (hypot 1 x))) (+ (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)) (/ 1/4 (hypot 1 x)))) (+ (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)) (/ 1/4 (hypot 1 x))) 1/64) (sqrt (- 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (fma (* (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x)))) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)) -1/4) 1/16)))))) 65.829 * * * * [progress]: [ 77 / 223 ] simplifiying candidate # 65.830 * [simplify]: Simplifying (* (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (* 1/2 1/2) (* 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 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))))) 65.830 * * [simplify]: iters left: 6 (19 enodes) 65.844 * * [simplify]: iters left: 5 (86 enodes) 65.866 * * [simplify]: iters left: 4 (206 enodes) 65.964 * * [simplify]: Extracting #0: cost 1 inf + 0 65.968 * * [simplify]: Extracting #1: cost 15 inf + 0 65.968 * * [simplify]: Extracting #2: cost 90 inf + 1 65.968 * * [simplify]: Extracting #3: cost 181 inf + 2 65.969 * * [simplify]: Extracting #4: cost 216 inf + 5 65.970 * * [simplify]: Extracting #5: cost 183 inf + 4986 65.978 * * [simplify]: Extracting #6: cost 59 inf + 34565 65.999 * * [simplify]: Extracting #7: cost 0 inf + 51945 66.025 * * [simplify]: Extracting #8: cost 0 inf + 51661 66.041 * [simplify]: Simplified to (* (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (- 1/16 (* (* (+ (/ 1/2 (hypot 1 x)) 1/2) (/ 1/2 (hypot 1 x))) (* (+ (/ 1/2 (hypot 1 x)) 1/2) (/ 1/2 (hypot 1 x)))))) 66.041 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (/ (* (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (- 1/16 (* (* (+ (/ 1/2 (hypot 1 x)) 1/2) (/ 1/2 (hypot 1 x))) (* (+ (/ 1/2 (hypot 1 x)) 1/2) (/ 1/2 (hypot 1 x)))))) (* (sqrt (- 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)))))))))) 66.042 * [simplify]: Simplifying (* (sqrt (- 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)))))) 66.042 * * [simplify]: iters left: 6 (15 enodes) 66.046 * * [simplify]: iters left: 5 (64 enodes) 66.056 * * [simplify]: iters left: 4 (93 enodes) 66.082 * * [simplify]: iters left: 3 (151 enodes) 66.131 * * [simplify]: iters left: 2 (223 enodes) 66.217 * * [simplify]: iters left: 1 (326 enodes) 66.282 * * [simplify]: Extracting #0: cost 1 inf + 0 66.282 * * [simplify]: Extracting #1: cost 4 inf + 0 66.283 * * [simplify]: Extracting #2: cost 30 inf + 0 66.283 * * [simplify]: Extracting #3: cost 66 inf + 3 66.283 * * [simplify]: Extracting #4: cost 77 inf + 5 66.284 * * [simplify]: Extracting #5: cost 41 inf + 4964 66.288 * * [simplify]: Extracting #6: cost 3 inf + 11763 66.292 * * [simplify]: Extracting #7: cost 0 inf + 12423 66.296 * [simplify]: Simplified to (* (- 1/4 (/ (+ 1/4 (/ 1/4 (hypot 1 x))) (hypot 1 x))) (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 66.296 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (/ (* (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (- 1/16 (* (* (+ (/ 1/2 (hypot 1 x)) 1/2) (/ 1/2 (hypot 1 x))) (* (+ (/ 1/2 (hypot 1 x)) 1/2) (/ 1/2 (hypot 1 x)))))) (* (- 1/4 (/ (+ 1/4 (/ 1/4 (hypot 1 x))) (hypot 1 x))) (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 66.296 * * * * [progress]: [ 78 / 223 ] simplifiying candidate # 66.297 * * * * [progress]: [ 79 / 223 ] simplifiying candidate # 66.297 * [simplify]: Simplifying (* (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (+ (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))))) 66.297 * * [simplify]: iters left: 6 (17 enodes) 66.302 * * [simplify]: iters left: 5 (68 enodes) 66.312 * * [simplify]: iters left: 4 (84 enodes) 66.323 * * [simplify]: iters left: 3 (103 enodes) 66.343 * * [simplify]: iters left: 2 (128 enodes) 66.381 * * [simplify]: iters left: 1 (151 enodes) 66.401 * * [simplify]: Extracting #0: cost 1 inf + 0 66.401 * * [simplify]: Extracting #1: cost 4 inf + 0 66.401 * * [simplify]: Extracting #2: cost 8 inf + 0 66.401 * * [simplify]: Extracting #3: cost 25 inf + 0 66.401 * * [simplify]: Extracting #4: cost 43 inf + 2 66.402 * * [simplify]: Extracting #5: cost 50 inf + 3 66.402 * * [simplify]: Extracting #6: cost 27 inf + 3534 66.404 * * [simplify]: Extracting #7: cost 2 inf + 8078 66.406 * * [simplify]: Extracting #8: cost 0 inf + 8690 66.409 * [simplify]: Simplified to (* (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (sqrt (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4))) 66.410 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (* (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (sqrt (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4))) (* (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (+ (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))))))))) 66.410 * [simplify]: Simplifying (* (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (+ (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))))) 66.411 * * [simplify]: iters left: 6 (17 enodes) 66.421 * * [simplify]: iters left: 5 (68 enodes) 66.442 * * [simplify]: iters left: 4 (84 enodes) 66.466 * * [simplify]: iters left: 3 (103 enodes) 66.484 * * [simplify]: iters left: 2 (128 enodes) 66.503 * * [simplify]: iters left: 1 (151 enodes) 66.539 * * [simplify]: Extracting #0: cost 1 inf + 0 66.540 * * [simplify]: Extracting #1: cost 4 inf + 0 66.540 * * [simplify]: Extracting #2: cost 8 inf + 0 66.540 * * [simplify]: Extracting #3: cost 25 inf + 0 66.540 * * [simplify]: Extracting #4: cost 43 inf + 2 66.540 * * [simplify]: Extracting #5: cost 50 inf + 3 66.542 * * [simplify]: Extracting #6: cost 27 inf + 3534 66.546 * * [simplify]: Extracting #7: cost 2 inf + 8078 66.550 * * [simplify]: Extracting #8: cost 0 inf + 8690 66.552 * [simplify]: Simplified to (* (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (sqrt (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4))) 66.553 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (* (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (+ (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))))) (* (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (sqrt (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4))))))) 66.553 * * * * [progress]: [ 80 / 223 ] simplifiying candidate # 66.553 * [simplify]: Simplifying (* (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (+ (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))))) 66.553 * * [simplify]: iters left: 6 (17 enodes) 66.559 * * [simplify]: iters left: 5 (68 enodes) 66.571 * * [simplify]: iters left: 4 (84 enodes) 66.583 * * [simplify]: iters left: 3 (103 enodes) 66.613 * * [simplify]: iters left: 2 (128 enodes) 66.651 * * [simplify]: iters left: 1 (151 enodes) 67.068 * * [simplify]: Extracting #0: cost 1 inf + 0 67.068 * * [simplify]: Extracting #1: cost 4 inf + 0 67.068 * * [simplify]: Extracting #2: cost 8 inf + 0 67.068 * * [simplify]: Extracting #3: cost 25 inf + 0 67.068 * * [simplify]: Extracting #4: cost 43 inf + 2 67.069 * * [simplify]: Extracting #5: cost 50 inf + 3 67.069 * * [simplify]: Extracting #6: cost 27 inf + 3534 67.071 * * [simplify]: Extracting #7: cost 2 inf + 8078 67.073 * * [simplify]: Extracting #8: cost 0 inf + 8690 67.075 * [simplify]: Simplified to (* (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (sqrt (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4))) 67.075 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (* (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (sqrt (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4))) (* (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (+ (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))))))))) 67.076 * [simplify]: Simplifying (* (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (+ (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))))) 67.076 * * [simplify]: iters left: 6 (17 enodes) 67.081 * * [simplify]: iters left: 5 (68 enodes) 67.092 * * [simplify]: iters left: 4 (84 enodes) 67.112 * * [simplify]: iters left: 3 (103 enodes) 67.142 * * [simplify]: iters left: 2 (128 enodes) 67.161 * * [simplify]: iters left: 1 (151 enodes) 67.189 * * [simplify]: Extracting #0: cost 1 inf + 0 67.189 * * [simplify]: Extracting #1: cost 4 inf + 0 67.189 * * [simplify]: Extracting #2: cost 8 inf + 0 67.189 * * [simplify]: Extracting #3: cost 25 inf + 0 67.189 * * [simplify]: Extracting #4: cost 43 inf + 2 67.190 * * [simplify]: Extracting #5: cost 50 inf + 3 67.190 * * [simplify]: Extracting #6: cost 27 inf + 3534 67.192 * * [simplify]: Extracting #7: cost 2 inf + 8078 67.194 * * [simplify]: Extracting #8: cost 0 inf + 8690 67.196 * [simplify]: Simplified to (* (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (sqrt (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4))) 67.196 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (* (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (+ (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))))) (* (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (sqrt (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4))))))) 67.196 * * * * [progress]: [ 81 / 223 ] simplifiying candidate # 67.196 * [simplify]: Simplifying (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))) 67.197 * * [simplify]: iters left: 6 (13 enodes) 67.200 * * [simplify]: iters left: 5 (59 enodes) 67.210 * * [simplify]: iters left: 4 (99 enodes) 67.235 * * [simplify]: iters left: 3 (176 enodes) 67.286 * * [simplify]: iters left: 2 (259 enodes) 67.357 * * [simplify]: iters left: 1 (355 enodes) 67.458 * * [simplify]: Extracting #0: cost 1 inf + 0 67.458 * * [simplify]: Extracting #1: cost 37 inf + 0 67.459 * * [simplify]: Extracting #2: cost 74 inf + 2 67.459 * * [simplify]: Extracting #3: cost 81 inf + 4 67.459 * * [simplify]: Extracting #4: cost 67 inf + 1863 67.461 * * [simplify]: Extracting #5: cost 42 inf + 6456 67.466 * * [simplify]: Extracting #6: cost 8 inf + 17190 67.473 * * [simplify]: Extracting #7: cost 0 inf + 19879 67.482 * [simplify]: Simplified to (* (* (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 67.482 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (+ (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* 1/2 1/2)) (* (* (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 67.482 * * * * [progress]: [ 82 / 223 ] simplifiying candidate # 67.482 * [simplify]: Simplifying (* (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 67.482 * * [simplify]: iters left: 6 (13 enodes) 67.486 * * [simplify]: iters left: 5 (53 enodes) 67.494 * * [simplify]: iters left: 4 (78 enodes) 67.508 * * [simplify]: iters left: 3 (145 enodes) 67.551 * * [simplify]: iters left: 2 (245 enodes) 67.608 * * [simplify]: iters left: 1 (347 enodes) 67.730 * * [simplify]: Extracting #0: cost 1 inf + 0 67.730 * * [simplify]: Extracting #1: cost 39 inf + 0 67.731 * * [simplify]: Extracting #2: cost 77 inf + 2 67.731 * * [simplify]: Extracting #3: cost 84 inf + 4 67.733 * * [simplify]: Extracting #4: cost 63 inf + 2796 67.736 * * [simplify]: Extracting #5: cost 51 inf + 4612 67.744 * * [simplify]: Extracting #6: cost 24 inf + 13064 67.757 * * [simplify]: Extracting #7: cost 1 inf + 20555 67.767 * * [simplify]: Extracting #8: cost 0 inf + 20893 67.774 * [simplify]: Simplified to (* (* (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 67.774 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (+ (* (* 1/2 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (* (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 67.774 * * * * [progress]: [ 83 / 223 ] simplifiying candidate # 67.774 * [simplify]: Simplifying (cbrt (+ (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x)))))) 67.774 * * [simplify]: iters left: 6 (11 enodes) 67.778 * * [simplify]: iters left: 5 (48 enodes) 67.786 * * [simplify]: iters left: 4 (68 enodes) 67.797 * * [simplify]: iters left: 3 (87 enodes) 67.822 * * [simplify]: iters left: 2 (112 enodes) 67.847 * * [simplify]: iters left: 1 (135 enodes) 67.866 * * [simplify]: Extracting #0: cost 1 inf + 0 67.867 * * [simplify]: Extracting #1: cost 3 inf + 0 67.867 * * [simplify]: Extracting #2: cost 18 inf + 0 67.867 * * [simplify]: Extracting #3: cost 33 inf + 2 67.867 * * [simplify]: Extracting #4: cost 41 inf + 2 67.867 * * [simplify]: Extracting #5: cost 39 inf + 4 67.867 * * [simplify]: Extracting #6: cost 32 inf + 855 67.869 * * [simplify]: Extracting #7: cost 8 inf + 4610 67.870 * * [simplify]: Extracting #8: cost 0 inf + 6013 67.872 * * [simplify]: Extracting #9: cost 0 inf + 5998 67.873 * [simplify]: Simplified to (cbrt (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) 67.873 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (cbrt (+ (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)))))) 67.874 * * * * [progress]: [ 84 / 223 ] simplifiying candidate # 67.874 * [simplify]: Simplifying (sqrt (+ (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x)))))) 67.874 * * [simplify]: iters left: 6 (11 enodes) 67.877 * * [simplify]: iters left: 5 (48 enodes) 67.886 * * [simplify]: iters left: 4 (68 enodes) 67.906 * * [simplify]: iters left: 3 (87 enodes) 67.928 * * [simplify]: iters left: 2 (112 enodes) 67.962 * * [simplify]: iters left: 1 (135 enodes) 67.999 * * [simplify]: Extracting #0: cost 1 inf + 0 68.000 * * [simplify]: Extracting #1: cost 3 inf + 0 68.000 * * [simplify]: Extracting #2: cost 18 inf + 0 68.000 * * [simplify]: Extracting #3: cost 33 inf + 2 68.000 * * [simplify]: Extracting #4: cost 41 inf + 2 68.001 * * [simplify]: Extracting #5: cost 39 inf + 4 68.001 * * [simplify]: Extracting #6: cost 32 inf + 855 68.003 * * [simplify]: Extracting #7: cost 8 inf + 4530 68.007 * * [simplify]: Extracting #8: cost 0 inf + 5933 68.010 * * [simplify]: Extracting #9: cost 0 inf + 5918 68.013 * [simplify]: Simplified to (sqrt (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) 68.013 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (+ (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))))) (sqrt (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)))))) 68.013 * * * * [progress]: [ 85 / 223 ] simplifiying candidate # 68.014 * [simplify]: Simplifying (+ (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))) 68.014 * * [simplify]: iters left: 6 (10 enodes) 68.020 * * [simplify]: iters left: 5 (45 enodes) 68.035 * * [simplify]: iters left: 4 (65 enodes) 68.044 * * [simplify]: iters left: 3 (84 enodes) 68.057 * * [simplify]: iters left: 2 (109 enodes) 68.075 * * [simplify]: iters left: 1 (132 enodes) 68.104 * * [simplify]: Extracting #0: cost 1 inf + 0 68.104 * * [simplify]: Extracting #1: cost 16 inf + 0 68.105 * * [simplify]: Extracting #2: cost 31 inf + 2 68.105 * * [simplify]: Extracting #3: cost 39 inf + 2 68.105 * * [simplify]: Extracting #4: cost 33 inf + 313 68.107 * * [simplify]: Extracting #5: cost 12 inf + 3322 68.111 * * [simplify]: Extracting #6: cost 0 inf + 5610 68.114 * [simplify]: Simplified to (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4) 68.114 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4))))) 68.114 * * * * [progress]: [ 86 / 223 ] simplifiying candidate # 68.115 * [simplify]: Simplifying (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 68.115 * * [simplify]: iters left: 6 (11 enodes) 68.120 * * [simplify]: iters left: 5 (37 enodes) 68.131 * * [simplify]: iters left: 4 (39 enodes) 68.143 * * [simplify]: Extracting #0: cost 1 inf + 0 68.143 * * [simplify]: Extracting #1: cost 3 inf + 0 68.143 * * [simplify]: Extracting #2: cost 5 inf + 0 68.143 * * [simplify]: Extracting #3: cost 7 inf + 0 68.143 * * [simplify]: Extracting #4: cost 10 inf + 0 68.143 * * [simplify]: Extracting #5: cost 11 inf + 1 68.143 * * [simplify]: Extracting #6: cost 14 inf + 1 68.143 * * [simplify]: Extracting #7: cost 15 inf + 2 68.143 * * [simplify]: Extracting #8: cost 17 inf + 2 68.143 * * [simplify]: Extracting #9: cost 15 inf + 60 68.143 * * [simplify]: Extracting #10: cost 12 inf + 353 68.144 * * [simplify]: Extracting #11: cost 7 inf + 1163 68.144 * * [simplify]: Extracting #12: cost 3 inf + 2235 68.145 * * [simplify]: Extracting #13: cost 0 inf + 3329 68.146 * [simplify]: Simplified to (* (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 68.146 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (* (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (* (cbrt (sqrt (+ 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)))))))))) 68.147 * * * * [progress]: [ 87 / 223 ] simplifiying candidate # 68.147 * [simplify]: Simplifying (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 68.147 * * [simplify]: iters left: 6 (11 enodes) 68.153 * * [simplify]: iters left: 5 (38 enodes) 68.164 * * [simplify]: iters left: 4 (40 enodes) 68.176 * * [simplify]: Extracting #0: cost 1 inf + 0 68.176 * * [simplify]: Extracting #1: cost 4 inf + 0 68.176 * * [simplify]: Extracting #2: cost 7 inf + 0 68.176 * * [simplify]: Extracting #3: cost 10 inf + 0 68.176 * * [simplify]: Extracting #4: cost 11 inf + 1 68.176 * * [simplify]: Extracting #5: cost 14 inf + 1 68.176 * * [simplify]: Extracting #6: cost 15 inf + 2 68.176 * * [simplify]: Extracting #7: cost 17 inf + 2 68.176 * * [simplify]: Extracting #8: cost 15 inf + 60 68.176 * * [simplify]: Extracting #9: cost 10 inf + 589 68.177 * * [simplify]: Extracting #10: cost 6 inf + 1381 68.178 * * [simplify]: Extracting #11: cost 1 inf + 2991 68.179 * * [simplify]: Extracting #12: cost 0 inf + 3329 68.180 * [simplify]: Simplified to (fabs (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 68.180 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (fabs (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (sqrt (cbrt (+ 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)))))))))) 68.180 * * * * [progress]: [ 88 / 223 ] simplifiying candidate # 68.180 * [simplify]: Simplifying (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 68.181 * * [simplify]: iters left: 6 (10 enodes) 68.186 * * [simplify]: iters left: 5 (34 enodes) 68.196 * * [simplify]: iters left: 4 (36 enodes) 68.208 * * [simplify]: Extracting #0: cost 1 inf + 0 68.208 * * [simplify]: Extracting #1: cost 3 inf + 0 68.208 * * [simplify]: Extracting #2: cost 5 inf + 0 68.209 * * [simplify]: Extracting #3: cost 8 inf + 0 68.209 * * [simplify]: Extracting #4: cost 9 inf + 1 68.209 * * [simplify]: Extracting #5: cost 12 inf + 1 68.209 * * [simplify]: Extracting #6: cost 13 inf + 2 68.209 * * [simplify]: Extracting #7: cost 15 inf + 2 68.209 * * [simplify]: Extracting #8: cost 13 inf + 60 68.209 * * [simplify]: Extracting #9: cost 9 inf + 451 68.210 * * [simplify]: Extracting #10: cost 4 inf + 1381 68.210 * * [simplify]: Extracting #11: cost 0 inf + 2493 68.211 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 68.211 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (sqrt (sqrt (+ 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)))))))))) 68.212 * * * * [progress]: [ 89 / 223 ] simplifiying candidate # 68.212 * [simplify]: Simplifying (sqrt 1) 68.212 * * [simplify]: iters left: 1 (2 enodes) 68.215 * * [simplify]: Extracting #0: cost 1 inf + 0 68.215 * * [simplify]: Extracting #1: cost 0 inf + 1 68.215 * [simplify]: Simplified to 1 68.215 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* 1 (* (sqrt (+ 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)))))))))) 68.215 * * * * [progress]: [ 90 / 223 ] simplifiying candidate # 68.216 * [simplify]: Simplifying (sqrt (sqrt 1)) 68.216 * * [simplify]: iters left: 2 (3 enodes) 68.221 * * [simplify]: iters left: 1 (11 enodes) 68.224 * * [simplify]: Extracting #0: cost 1 inf + 0 68.224 * * [simplify]: Extracting #1: cost 0 inf + 1 68.224 * [simplify]: Simplified to 1 68.224 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* 1 (* (sqrt (+ (sqrt 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)))))))))) 68.224 * * * * [progress]: [ 91 / 223 ] simplifiying candidate # 68.225 * [simplify]: Simplifying (sqrt (sqrt 1)) 68.225 * * [simplify]: iters left: 2 (3 enodes) 68.230 * * [simplify]: iters left: 1 (11 enodes) 68.233 * * [simplify]: Extracting #0: cost 1 inf + 0 68.233 * * [simplify]: Extracting #1: cost 0 inf + 1 68.233 * [simplify]: Simplified to 1 68.233 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* 1 (* (sqrt (+ (sqrt 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)))))))))) 68.234 * * * * [progress]: [ 92 / 223 ] simplifiying candidate # 68.234 * [simplify]: Simplifying (sqrt 1) 68.234 * * [simplify]: iters left: 1 (2 enodes) 68.237 * * [simplify]: Extracting #0: cost 1 inf + 0 68.237 * * [simplify]: Extracting #1: cost 0 inf + 1 68.237 * [simplify]: Simplified to 1 68.237 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* 1 (* (sqrt (+ 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)))))))))) 68.238 * * * * [progress]: [ 93 / 223 ] simplifiying candidate # 68.238 * [simplify]: Simplifying (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 68.238 * * [simplify]: iters left: 6 (10 enodes) 68.243 * * [simplify]: iters left: 5 (34 enodes) 68.252 * * [simplify]: iters left: 4 (36 enodes) 68.257 * * [simplify]: Extracting #0: cost 1 inf + 0 68.257 * * [simplify]: Extracting #1: cost 3 inf + 0 68.257 * * [simplify]: Extracting #2: cost 5 inf + 0 68.257 * * [simplify]: Extracting #3: cost 8 inf + 0 68.257 * * [simplify]: Extracting #4: cost 9 inf + 1 68.257 * * [simplify]: Extracting #5: cost 12 inf + 1 68.257 * * [simplify]: Extracting #6: cost 13 inf + 2 68.257 * * [simplify]: Extracting #7: cost 15 inf + 2 68.258 * * [simplify]: Extracting #8: cost 13 inf + 60 68.258 * * [simplify]: Extracting #9: cost 9 inf + 451 68.258 * * [simplify]: Extracting #10: cost 4 inf + 1381 68.258 * * [simplify]: Extracting #11: cost 0 inf + 2493 68.259 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 68.259 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (sqrt (sqrt (+ 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)))))))))) 68.259 * * * * [progress]: [ 94 / 223 ] simplifiying candidate # 68.259 * * * * [progress]: [ 95 / 223 ] simplifiying candidate # 68.259 * [simplify]: Simplifying (+ (* (* 1/2 1/2) (* 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 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))) (* (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))))) 68.259 * * [simplify]: iters left: 6 (14 enodes) 68.264 * * [simplify]: iters left: 5 (81 enodes) 68.295 * * [simplify]: iters left: 4 (291 enodes) 68.489 * * [simplify]: Extracting #0: cost 1 inf + 0 68.490 * * [simplify]: Extracting #1: cost 32 inf + 0 68.490 * * [simplify]: Extracting #2: cost 135 inf + 4 68.491 * * [simplify]: Extracting #3: cost 159 inf + 8 68.492 * * [simplify]: Extracting #4: cost 148 inf + 1149 68.500 * * [simplify]: Extracting #5: cost 51 inf + 22164 68.512 * * [simplify]: Extracting #6: cost 0 inf + 34033 68.532 * * [simplify]: Extracting #7: cost 0 inf + 33603 68.545 * [simplify]: Simplified to (fma (/ 1/2 (hypot 1 x)) (* (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)) -1/4) (+ 1/2 (/ 1/2 (hypot 1 x)))) 1/16) 68.545 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (/ (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (pow (* 1/2 1/2) 3) (pow (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x)))) 3))) (fma (/ 1/2 (hypot 1 x)) (* (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)) -1/4) (+ 1/2 (/ 1/2 (hypot 1 x)))) 1/16))))) 68.545 * * * * [progress]: [ 96 / 223 ] simplifiying candidate # 68.545 * [simplify]: Simplifying (- (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))) 68.545 * * [simplify]: iters left: 6 (10 enodes) 68.549 * * [simplify]: iters left: 5 (46 enodes) 68.558 * * [simplify]: iters left: 4 (76 enodes) 68.576 * * [simplify]: iters left: 3 (134 enodes) 68.622 * * [simplify]: iters left: 2 (205 enodes) 68.684 * * [simplify]: iters left: 1 (308 enodes) 68.780 * * [simplify]: Extracting #0: cost 1 inf + 0 68.780 * * [simplify]: Extracting #1: cost 25 inf + 0 68.781 * * [simplify]: Extracting #2: cost 57 inf + 3 68.782 * * [simplify]: Extracting #3: cost 68 inf + 4 68.784 * * [simplify]: Extracting #4: cost 35 inf + 4248 68.789 * * [simplify]: Extracting #5: cost 5 inf + 8688 68.796 * * [simplify]: Extracting #6: cost 0 inf + 9717 68.802 * [simplify]: Simplified to (fma (/ 1/2 (hypot 1 x)) (- -1/2 (/ 1/2 (hypot 1 x))) 1/4) 68.803 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (/ (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (* 1/2 1/2) (* 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 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))))) (fma (/ 1/2 (hypot 1 x)) (- -1/2 (/ 1/2 (hypot 1 x))) 1/4))))) 68.803 * * * * [progress]: [ 97 / 223 ] simplifiying candidate # 68.803 * [simplify]: Simplifying (* (sqrt (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))) (+ (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x)))))) 68.804 * * [simplify]: iters left: 6 (18 enodes) 68.815 * * [simplify]: iters left: 5 (85 enodes) 68.830 * * [simplify]: iters left: 4 (153 enodes) 68.873 * * [simplify]: iters left: 3 (324 enodes) 68.980 * * [simplify]: Extracting #0: cost 1 inf + 0 68.980 * * [simplify]: Extracting #1: cost 25 inf + 0 68.981 * * [simplify]: Extracting #2: cost 82 inf + 2 68.981 * * [simplify]: Extracting #3: cost 104 inf + 3 68.982 * * [simplify]: Extracting #4: cost 104 inf + 970 68.988 * * [simplify]: Extracting #5: cost 27 inf + 19953 69.002 * * [simplify]: Extracting #6: cost 2 inf + 28587 69.012 * * [simplify]: Extracting #7: cost 0 inf + 29289 69.022 * [simplify]: Simplified to (* (sqrt (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1)) (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4)) 69.022 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (/ (* (sqrt (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1)) (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4)) (sqrt (+ (* 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)))))))))) 69.022 * * * * [progress]: [ 98 / 223 ] simplifiying candidate # 69.022 * [simplify]: Simplifying (* (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (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)))))) 69.022 * * [simplify]: iters left: 6 (17 enodes) 69.028 * * [simplify]: iters left: 5 (72 enodes) 69.053 * * [simplify]: iters left: 4 (136 enodes) 69.086 * * [simplify]: iters left: 3 (297 enodes) 69.186 * * [simplify]: Extracting #0: cost 1 inf + 0 69.187 * * [simplify]: Extracting #1: cost 27 inf + 0 69.187 * * [simplify]: Extracting #2: cost 81 inf + 2 69.188 * * [simplify]: Extracting #3: cost 97 inf + 2 69.189 * * [simplify]: Extracting #4: cost 89 inf + 965 69.195 * * [simplify]: Extracting #5: cost 30 inf + 12527 69.201 * * [simplify]: Extracting #6: cost 1 inf + 19394 69.208 * * [simplify]: Extracting #7: cost 0 inf + 19612 69.214 * [simplify]: Simplified to (* (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (/ 1/2 (hypot 1 x)) 1/4)) 69.214 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (/ (* (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (/ 1/2 (hypot 1 x)) 1/4)) (sqrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 69.214 * * * * [progress]: [ 99 / 223 ] simplifiying candidate #real (real->posit16 (* (sqrt (+ 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)))))))))))> 69.215 * * * * [progress]: [ 100 / 223 ] simplifiying candidate # 69.215 * * * * [progress]: [ 101 / 223 ] simplifiying candidate # 69.215 * [simplify]: Simplifying (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))))))) 69.215 * * [simplify]: iters left: 6 (14 enodes) 69.219 * * [simplify]: iters left: 5 (56 enodes) 69.233 * * [simplify]: iters left: 4 (84 enodes) 69.264 * * [simplify]: iters left: 3 (117 enodes) 69.303 * * [simplify]: iters left: 2 (169 enodes) 69.331 * * [simplify]: iters left: 1 (245 enodes) 69.404 * * [simplify]: Extracting #0: cost 1 inf + 0 69.404 * * [simplify]: Extracting #1: cost 15 inf + 0 69.404 * * [simplify]: Extracting #2: cost 66 inf + 1 69.405 * * [simplify]: Extracting #3: cost 101 inf + 86 69.405 * * [simplify]: Extracting #4: cost 93 inf + 779 69.406 * * [simplify]: Extracting #5: cost 68 inf + 5485 69.408 * * [simplify]: Extracting #6: cost 39 inf + 17904 69.413 * * [simplify]: Extracting #7: cost 6 inf + 40809 69.419 * * [simplify]: Extracting #8: cost 0 inf + 45540 69.428 * [simplify]: Simplified to (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) 69.428 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (- (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))))))) (* (sqrt (+ 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))))))))) 69.429 * [simplify]: Simplifying (fma (- (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))))) 69.429 * * [simplify]: iters left: 6 (12 enodes) 69.436 * * [simplify]: iters left: 5 (46 enodes) 69.452 * * [simplify]: iters left: 4 (70 enodes) 69.479 * * [simplify]: iters left: 3 (122 enodes) 69.524 * * [simplify]: iters left: 2 (181 enodes) 69.552 * * [simplify]: iters left: 1 (257 enodes) 69.622 * * [simplify]: Extracting #0: cost 1 inf + 0 69.622 * * [simplify]: Extracting #1: cost 0 inf + 1 69.622 * [simplify]: Simplified to 0 69.623 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) 0) (* (sqrt (+ 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))))))))) 69.623 * * * * [progress]: [ 102 / 223 ] simplifiying candidate # 69.623 * [simplify]: Simplifying (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))))) 69.623 * * [simplify]: iters left: 6 (13 enodes) 69.627 * * [simplify]: iters left: 5 (47 enodes) 69.635 * * [simplify]: iters left: 4 (69 enodes) 69.646 * * [simplify]: iters left: 3 (89 enodes) 69.661 * * [simplify]: iters left: 2 (109 enodes) 69.679 * * [simplify]: iters left: 1 (139 enodes) 69.704 * * [simplify]: Extracting #0: cost 1 inf + 0 69.704 * * [simplify]: Extracting #1: cost 9 inf + 0 69.704 * * [simplify]: Extracting #2: cost 24 inf + 1 69.704 * * [simplify]: Extracting #3: cost 42 inf + 83 69.704 * * [simplify]: Extracting #4: cost 39 inf + 467 69.705 * * [simplify]: Extracting #5: cost 25 inf + 2500 69.706 * * [simplify]: Extracting #6: cost 3 inf + 8184 69.707 * * [simplify]: Extracting #7: cost 1 inf + 8660 69.708 * * [simplify]: Extracting #8: cost 0 inf + 8918 69.709 * [simplify]: Simplified to (- 1/8 (/ (/ (/ 1/8 (hypot 1 x)) (hypot 1 x)) (hypot 1 x))) 69.709 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/8 (/ (/ (/ 1/8 (hypot 1 x)) (hypot 1 x)) (hypot 1 x))) (fma (- (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))))) (* (sqrt (+ 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))))))))) 69.710 * [simplify]: Simplifying (fma (- (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))))) 69.710 * * [simplify]: iters left: 6 (11 enodes) 69.714 * * [simplify]: iters left: 5 (38 enodes) 69.726 * * [simplify]: iters left: 4 (55 enodes) 69.745 * * [simplify]: iters left: 3 (79 enodes) 69.771 * * [simplify]: iters left: 2 (103 enodes) 69.801 * * [simplify]: iters left: 1 (129 enodes) 69.840 * * [simplify]: Extracting #0: cost 1 inf + 0 69.840 * * [simplify]: Extracting #1: cost 0 inf + 1 69.840 * [simplify]: Simplified to 0 69.840 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/8 (/ (/ (/ 1/8 (hypot 1 x)) (hypot 1 x)) (hypot 1 x))) 0) (* (sqrt (+ 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))))))))) 69.840 * * * * [progress]: [ 103 / 223 ] simplifiying candidate # 69.841 * [simplify]: Simplifying (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (/ (cbrt 1/8) (hypot 1 x)) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (hypot 1 x) (hypot 1 x)))))) 69.841 * * [simplify]: iters left: 6 (12 enodes) 69.847 * * [simplify]: iters left: 5 (54 enodes) 69.860 * * [simplify]: iters left: 4 (132 enodes) 69.895 * * [simplify]: iters left: 3 (275 enodes) 69.986 * * [simplify]: iters left: 2 (440 enodes) 70.166 * * [simplify]: Extracting #0: cost 1 inf + 0 70.166 * * [simplify]: Extracting #1: cost 23 inf + 0 70.166 * * [simplify]: Extracting #2: cost 86 inf + 1 70.166 * * [simplify]: Extracting #3: cost 110 inf + 85 70.168 * * [simplify]: Extracting #4: cost 87 inf + 4732 70.172 * * [simplify]: Extracting #5: cost 8 inf + 26022 70.178 * * [simplify]: Extracting #6: cost 0 inf + 28220 70.184 * [simplify]: Simplified to (- 1/8 (/ (/ (/ 1/8 (hypot 1 x)) (hypot 1 x)) (hypot 1 x))) 70.184 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/8 (/ (/ (/ 1/8 (hypot 1 x)) (hypot 1 x)) (hypot 1 x))) (fma (- (/ (cbrt 1/8) (hypot 1 x))) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (hypot 1 x) (hypot 1 x))) (* (/ (cbrt 1/8) (hypot 1 x)) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (hypot 1 x) (hypot 1 x)))))) (* (sqrt (+ 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))))))))) 70.185 * [simplify]: Simplifying (fma (- (/ (cbrt 1/8) (hypot 1 x))) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (hypot 1 x) (hypot 1 x))) (* (/ (cbrt 1/8) (hypot 1 x)) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (hypot 1 x) (hypot 1 x))))) 70.185 * * [simplify]: iters left: 6 (12 enodes) 70.190 * * [simplify]: iters left: 5 (52 enodes) 70.212 * * [simplify]: iters left: 4 (118 enodes) 70.244 * * [simplify]: iters left: 3 (281 enodes) 70.333 * * [simplify]: iters left: 2 (478 enodes) 70.525 * * [simplify]: Extracting #0: cost 1 inf + 0 70.525 * * [simplify]: Extracting #1: cost 0 inf + 1 70.525 * [simplify]: Simplified to 0 70.525 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (/ (cbrt 1/8) (hypot 1 x)) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (hypot 1 x) (hypot 1 x)))))) 0) (* (sqrt (+ 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))))))))) 70.526 * * * * [progress]: [ 104 / 223 ] simplifiying candidate # 70.526 * [simplify]: Simplifying (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (/ (sqrt 1/8) (hypot 1 x)) (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x)))))) 70.526 * * [simplify]: iters left: 6 (13 enodes) 70.533 * * [simplify]: iters left: 5 (53 enodes) 70.554 * * [simplify]: iters left: 4 (100 enodes) 70.589 * * [simplify]: iters left: 3 (151 enodes) 70.641 * * [simplify]: iters left: 2 (192 enodes) 70.698 * * [simplify]: iters left: 1 (236 enodes) 70.745 * * [simplify]: Extracting #0: cost 1 inf + 0 70.745 * * [simplify]: Extracting #1: cost 15 inf + 0 70.745 * * [simplify]: Extracting #2: cost 40 inf + 1 70.746 * * [simplify]: Extracting #3: cost 53 inf + 286 70.747 * * [simplify]: Extracting #4: cost 31 inf + 3097 70.751 * * [simplify]: Extracting #5: cost 1 inf + 8470 70.756 * * [simplify]: Extracting #6: cost 0 inf + 8486 70.762 * [simplify]: Simplified to (- 1/8 (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) 70.762 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/8 (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (fma (- (/ (sqrt 1/8) (hypot 1 x))) (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x))) (* (/ (sqrt 1/8) (hypot 1 x)) (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x)))))) (* (sqrt (+ 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))))))))) 70.762 * [simplify]: Simplifying (fma (- (/ (sqrt 1/8) (hypot 1 x))) (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x))) (* (/ (sqrt 1/8) (hypot 1 x)) (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x))))) 70.763 * * [simplify]: iters left: 6 (11 enodes) 70.769 * * [simplify]: iters left: 5 (45 enodes) 70.785 * * [simplify]: iters left: 4 (82 enodes) 70.804 * * [simplify]: iters left: 3 (134 enodes) 70.829 * * [simplify]: iters left: 2 (197 enodes) 70.865 * * [simplify]: iters left: 1 (258 enodes) 70.929 * * [simplify]: Extracting #0: cost 1 inf + 0 70.929 * * [simplify]: Extracting #1: cost 0 inf + 1 70.929 * [simplify]: Simplified to 0 70.929 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/8 (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) 0) (* (sqrt (+ 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))))))))) 70.929 * * * * [progress]: [ 105 / 223 ] simplifiying candidate # 70.929 * [simplify]: Simplifying (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (/ 1/8 (hypot 1 x)) (/ 1 (* (hypot 1 x) (hypot 1 x)))))) 70.929 * * [simplify]: iters left: 6 (12 enodes) 70.933 * * [simplify]: iters left: 5 (51 enodes) 70.947 * * [simplify]: iters left: 4 (105 enodes) 70.978 * * [simplify]: iters left: 3 (186 enodes) 71.064 * * [simplify]: iters left: 2 (296 enodes) 71.202 * * [simplify]: iters left: 1 (428 enodes) 71.391 * * [simplify]: Extracting #0: cost 1 inf + 0 71.391 * * [simplify]: Extracting #1: cost 21 inf + 0 71.392 * * [simplify]: Extracting #2: cost 53 inf + 4 71.392 * * [simplify]: Extracting #3: cost 70 inf + 86 71.393 * * [simplify]: Extracting #4: cost 48 inf + 2312 71.396 * * [simplify]: Extracting #5: cost 6 inf + 8965 71.400 * * [simplify]: Extracting #6: cost 0 inf + 9834 71.404 * [simplify]: Simplified to (- 1/8 (/ (/ (/ 1/8 (hypot 1 x)) (hypot 1 x)) (hypot 1 x))) 71.404 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/8 (/ (/ (/ 1/8 (hypot 1 x)) (hypot 1 x)) (hypot 1 x))) (fma (- (/ 1/8 (hypot 1 x))) (/ 1 (* (hypot 1 x) (hypot 1 x))) (* (/ 1/8 (hypot 1 x)) (/ 1 (* (hypot 1 x) (hypot 1 x)))))) (* (sqrt (+ 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))))))))) 71.405 * [simplify]: Simplifying (fma (- (/ 1/8 (hypot 1 x))) (/ 1 (* (hypot 1 x) (hypot 1 x))) (* (/ 1/8 (hypot 1 x)) (/ 1 (* (hypot 1 x) (hypot 1 x))))) 71.405 * * [simplify]: iters left: 6 (10 enodes) 71.408 * * [simplify]: iters left: 5 (44 enodes) 71.424 * * [simplify]: iters left: 4 (82 enodes) 71.458 * * [simplify]: iters left: 3 (162 enodes) 71.532 * * [simplify]: iters left: 2 (274 enodes) 71.688 * * [simplify]: iters left: 1 (464 enodes) 71.933 * * [simplify]: Extracting #0: cost 1 inf + 0 71.933 * * [simplify]: Extracting #1: cost 0 inf + 1 71.933 * [simplify]: Simplified to 0 71.933 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/8 (/ (/ (/ 1/8 (hypot 1 x)) (hypot 1 x)) (hypot 1 x))) 0) (* (sqrt (+ 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))))))))) 71.933 * * * * [progress]: [ 106 / 223 ] simplifiying candidate # 71.934 * [simplify]: Simplifying (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1))) 71.934 * * [simplify]: iters left: 6 (12 enodes) 71.941 * * [simplify]: iters left: 5 (49 enodes) 71.960 * * [simplify]: iters left: 4 (81 enodes) 71.992 * * [simplify]: iters left: 3 (125 enodes) 72.024 * * [simplify]: iters left: 2 (176 enodes) 72.072 * * [simplify]: iters left: 1 (298 enodes) 72.190 * * [simplify]: Extracting #0: cost 1 inf + 0 72.190 * * [simplify]: Extracting #1: cost 11 inf + 0 72.190 * * [simplify]: Extracting #2: cost 58 inf + 3 72.190 * * [simplify]: Extracting #3: cost 101 inf + 85 72.191 * * [simplify]: Extracting #4: cost 94 inf + 1173 72.193 * * [simplify]: Extracting #5: cost 35 inf + 11973 72.196 * * [simplify]: Extracting #6: cost 2 inf + 20839 72.200 * * [simplify]: Extracting #7: cost 0 inf + 21416 72.204 * [simplify]: Simplified to (- 1/8 (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) 72.204 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/8 (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (fma (- (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) 1 (* (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1))) (* (sqrt (+ 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))))))))) 72.205 * [simplify]: Simplifying (fma (- (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) 1 (* (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1)) 72.205 * * [simplify]: iters left: 6 (10 enodes) 72.209 * * [simplify]: iters left: 5 (41 enodes) 72.221 * * [simplify]: iters left: 4 (69 enodes) 72.238 * * [simplify]: iters left: 3 (103 enodes) 72.263 * * [simplify]: iters left: 2 (161 enodes) 72.325 * * [simplify]: iters left: 1 (281 enodes) 72.453 * * [simplify]: Extracting #0: cost 1 inf + 0 72.453 * * [simplify]: Extracting #1: cost 0 inf + 1 72.453 * [simplify]: Simplified to 0 72.453 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/8 (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) 0) (* (sqrt (+ 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))))))))) 72.454 * * * * [progress]: [ 107 / 223 ] simplifiying candidate # 72.454 * [simplify]: Simplifying (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (/ 1 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1/8))) 72.454 * * [simplify]: iters left: 6 (12 enodes) 72.462 * * [simplify]: iters left: 5 (51 enodes) 72.480 * * [simplify]: iters left: 4 (84 enodes) 72.508 * * [simplify]: iters left: 3 (127 enodes) 72.557 * * [simplify]: iters left: 2 (201 enodes) 72.624 * * [simplify]: iters left: 1 (287 enodes) 72.736 * * [simplify]: Extracting #0: cost 1 inf + 0 72.736 * * [simplify]: Extracting #1: cost 17 inf + 0 72.736 * * [simplify]: Extracting #2: cost 64 inf + 2 72.737 * * [simplify]: Extracting #3: cost 94 inf + 85 72.738 * * [simplify]: Extracting #4: cost 84 inf + 1271 72.742 * * [simplify]: Extracting #5: cost 34 inf + 9757 72.749 * * [simplify]: Extracting #6: cost 3 inf + 18250 72.756 * * [simplify]: Extracting #7: cost 0 inf + 19467 72.764 * [simplify]: Simplified to (- 1/8 (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) 72.764 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/8 (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (fma (- (/ 1 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) 1/8 (* (/ 1 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1/8))) (* (sqrt (+ 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))))))))) 72.765 * [simplify]: Simplifying (fma (- (/ 1 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) 1/8 (* (/ 1 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1/8)) 72.765 * * [simplify]: iters left: 6 (10 enodes) 72.772 * * [simplify]: iters left: 5 (43 enodes) 72.786 * * [simplify]: iters left: 4 (69 enodes) 72.810 * * [simplify]: iters left: 3 (121 enodes) 72.842 * * [simplify]: iters left: 2 (182 enodes) 72.884 * * [simplify]: iters left: 1 (266 enodes) 72.955 * * [simplify]: Extracting #0: cost 1 inf + 0 72.955 * * [simplify]: Extracting #1: cost 0 inf + 1 72.955 * [simplify]: Simplified to 0 72.955 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/8 (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) 0) (* (sqrt (+ 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))))))))) 72.955 * * * * [progress]: [ 108 / 223 ] simplifiying candidate # 72.956 * [simplify]: Simplifying (fma (sqrt 1/8) (sqrt 1/8) (- (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))))))) 72.956 * * [simplify]: iters left: 6 (13 enodes) 72.959 * * [simplify]: iters left: 5 (53 enodes) 72.969 * * [simplify]: iters left: 4 (77 enodes) 72.993 * * [simplify]: iters left: 3 (104 enodes) 73.027 * * [simplify]: iters left: 2 (154 enodes) 73.063 * * [simplify]: iters left: 1 (227 enodes) 73.105 * * [simplify]: Extracting #0: cost 1 inf + 0 73.105 * * [simplify]: Extracting #1: cost 6 inf + 0 73.105 * * [simplify]: Extracting #2: cost 45 inf + 1 73.106 * * [simplify]: Extracting #3: cost 94 inf + 85 73.106 * * [simplify]: Extracting #4: cost 92 inf + 714 73.107 * * [simplify]: Extracting #5: cost 65 inf + 6642 73.110 * * [simplify]: Extracting #6: cost 21 inf + 30337 73.120 * * [simplify]: Extracting #7: cost 0 inf + 45697 73.132 * [simplify]: Simplified to (- 1/8 (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) 73.132 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/8 (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (fma (- (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))))))) (* (sqrt (+ 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))))))))) 73.133 * [simplify]: Simplifying (fma (- (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))))) 73.133 * * [simplify]: iters left: 6 (12 enodes) 73.140 * * [simplify]: iters left: 5 (46 enodes) 73.156 * * [simplify]: iters left: 4 (70 enodes) 73.182 * * [simplify]: iters left: 3 (122 enodes) 73.215 * * [simplify]: iters left: 2 (181 enodes) 73.246 * * [simplify]: iters left: 1 (257 enodes) 73.330 * * [simplify]: Extracting #0: cost 1 inf + 0 73.330 * * [simplify]: Extracting #1: cost 0 inf + 1 73.330 * [simplify]: Simplified to 0 73.330 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/8 (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) 0) (* (sqrt (+ 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))))))))) 73.331 * * * * [progress]: [ 109 / 223 ] simplifiying candidate # 73.331 * [simplify]: Simplifying (fma (sqrt 1/8) (sqrt 1/8) (- (* (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))))) 73.331 * * [simplify]: iters left: 6 (12 enodes) 73.338 * * [simplify]: iters left: 5 (44 enodes) 73.352 * * [simplify]: iters left: 4 (62 enodes) 73.371 * * [simplify]: iters left: 3 (78 enodes) 73.399 * * [simplify]: iters left: 2 (96 enodes) 73.431 * * [simplify]: iters left: 1 (124 enodes) 73.452 * * [simplify]: Extracting #0: cost 1 inf + 0 73.452 * * [simplify]: Extracting #1: cost 6 inf + 0 73.452 * * [simplify]: Extracting #2: cost 20 inf + 1 73.452 * * [simplify]: Extracting #3: cost 39 inf + 84 73.452 * * [simplify]: Extracting #4: cost 38 inf + 242 73.453 * * [simplify]: Extracting #5: cost 15 inf + 4780 73.453 * * [simplify]: Extracting #6: cost 3 inf + 7853 73.455 * * [simplify]: Extracting #7: cost 0 inf + 8596 73.456 * [simplify]: Simplified to (- 1/8 (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) 73.456 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/8 (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (fma (- (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))))) (* (sqrt (+ 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))))))))) 73.456 * [simplify]: Simplifying (fma (- (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))))) 73.456 * * [simplify]: iters left: 6 (11 enodes) 73.459 * * [simplify]: iters left: 5 (38 enodes) 73.465 * * [simplify]: iters left: 4 (55 enodes) 73.482 * * [simplify]: iters left: 3 (79 enodes) 73.505 * * [simplify]: iters left: 2 (103 enodes) 73.521 * * [simplify]: iters left: 1 (129 enodes) 73.546 * * [simplify]: Extracting #0: cost 1 inf + 0 73.546 * * [simplify]: Extracting #1: cost 0 inf + 1 73.546 * [simplify]: Simplified to 0 73.546 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/8 (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) 0) (* (sqrt (+ 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))))))))) 73.547 * * * * [progress]: [ 110 / 223 ] simplifiying candidate # 73.547 * [simplify]: Simplifying (fma (sqrt 1/8) (sqrt 1/8) (- (* (/ (cbrt 1/8) (hypot 1 x)) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (hypot 1 x) (hypot 1 x)))))) 73.547 * * [simplify]: iters left: 6 (13 enodes) 73.555 * * [simplify]: iters left: 5 (57 enodes) 73.577 * * [simplify]: iters left: 4 (132 enodes) 73.609 * * [simplify]: iters left: 3 (280 enodes) 73.699 * * [simplify]: iters left: 2 (453 enodes) 73.882 * * [simplify]: Extracting #0: cost 1 inf + 0 73.883 * * [simplify]: Extracting #1: cost 6 inf + 0 73.883 * * [simplify]: Extracting #2: cost 63 inf + 1 73.884 * * [simplify]: Extracting #3: cost 111 inf + 528 73.885 * * [simplify]: Extracting #4: cost 88 inf + 4135 73.893 * * [simplify]: Extracting #5: cost 21 inf + 21371 73.900 * * [simplify]: Extracting #6: cost 0 inf + 28862 73.906 * [simplify]: Simplified to (- 1/8 (/ (/ (/ 1/8 (hypot 1 x)) (hypot 1 x)) (hypot 1 x))) 73.906 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/8 (/ (/ (/ 1/8 (hypot 1 x)) (hypot 1 x)) (hypot 1 x))) (fma (- (/ (cbrt 1/8) (hypot 1 x))) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (hypot 1 x) (hypot 1 x))) (* (/ (cbrt 1/8) (hypot 1 x)) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (hypot 1 x) (hypot 1 x)))))) (* (sqrt (+ 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))))))))) 73.906 * [simplify]: Simplifying (fma (- (/ (cbrt 1/8) (hypot 1 x))) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (hypot 1 x) (hypot 1 x))) (* (/ (cbrt 1/8) (hypot 1 x)) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (hypot 1 x) (hypot 1 x))))) 73.906 * * [simplify]: iters left: 6 (12 enodes) 73.910 * * [simplify]: iters left: 5 (52 enodes) 73.919 * * [simplify]: iters left: 4 (118 enodes) 73.964 * * [simplify]: iters left: 3 (281 enodes) 74.053 * * [simplify]: iters left: 2 (478 enodes) 74.275 * * [simplify]: Extracting #0: cost 1 inf + 0 74.275 * * [simplify]: Extracting #1: cost 0 inf + 1 74.275 * [simplify]: Simplified to 0 74.275 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (fma (sqrt 1/8) (sqrt 1/8) (- (* (/ (cbrt 1/8) (hypot 1 x)) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (hypot 1 x) (hypot 1 x)))))) 0) (* (sqrt (+ 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))))))))) 74.276 * * * * [progress]: [ 111 / 223 ] simplifiying candidate # 74.276 * [simplify]: Simplifying (fma (sqrt 1/8) (sqrt 1/8) (- (* (/ (sqrt 1/8) (hypot 1 x)) (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x)))))) 74.276 * * [simplify]: iters left: 6 (11 enodes) 74.282 * * [simplify]: iters left: 5 (47 enodes) 74.301 * * [simplify]: iters left: 4 (89 enodes) 74.315 * * [simplify]: iters left: 3 (136 enodes) 74.343 * * [simplify]: iters left: 2 (176 enodes) 74.395 * * [simplify]: iters left: 1 (213 enodes) 74.433 * * [simplify]: Extracting #0: cost 1 inf + 0 74.434 * * [simplify]: Extracting #1: cost 6 inf + 0 74.434 * * [simplify]: Extracting #2: cost 33 inf + 1 74.434 * * [simplify]: Extracting #3: cost 57 inf + 84 74.434 * * [simplify]: Extracting #4: cost 36 inf + 2534 74.438 * * [simplify]: Extracting #5: cost 6 inf + 7907 74.442 * * [simplify]: Extracting #6: cost 0 inf + 9626 74.447 * [simplify]: Simplified to (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) 74.447 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (fma (- (/ (sqrt 1/8) (hypot 1 x))) (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x))) (* (/ (sqrt 1/8) (hypot 1 x)) (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x)))))) (* (sqrt (+ 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))))))))) 74.447 * [simplify]: Simplifying (fma (- (/ (sqrt 1/8) (hypot 1 x))) (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x))) (* (/ (sqrt 1/8) (hypot 1 x)) (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x))))) 74.448 * * [simplify]: iters left: 6 (11 enodes) 74.454 * * [simplify]: iters left: 5 (45 enodes) 74.469 * * [simplify]: iters left: 4 (82 enodes) 74.496 * * [simplify]: iters left: 3 (134 enodes) 74.525 * * [simplify]: iters left: 2 (197 enodes) 74.565 * * [simplify]: iters left: 1 (258 enodes) 74.641 * * [simplify]: Extracting #0: cost 1 inf + 0 74.641 * * [simplify]: Extracting #1: cost 0 inf + 1 74.641 * [simplify]: Simplified to 0 74.641 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (fma (sqrt 1/8) (sqrt 1/8) (- (* (/ (sqrt 1/8) (hypot 1 x)) (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x)))))) 0) (* (sqrt (+ 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))))))))) 74.641 * * * * [progress]: [ 112 / 223 ] simplifiying candidate # 74.642 * [simplify]: Simplifying (fma (sqrt 1/8) (sqrt 1/8) (- (* (/ 1/8 (hypot 1 x)) (/ 1 (* (hypot 1 x) (hypot 1 x)))))) 74.642 * * [simplify]: iters left: 6 (11 enodes) 74.648 * * [simplify]: iters left: 5 (48 enodes) 74.662 * * [simplify]: iters left: 4 (98 enodes) 74.680 * * [simplify]: iters left: 3 (171 enodes) 74.733 * * [simplify]: iters left: 2 (279 enodes) 74.856 * * [simplify]: iters left: 1 (377 enodes) 75.031 * * [simplify]: Extracting #0: cost 1 inf + 0 75.031 * * [simplify]: Extracting #1: cost 7 inf + 0 75.031 * * [simplify]: Extracting #2: cost 40 inf + 1 75.031 * * [simplify]: Extracting #3: cost 67 inf + 45 75.033 * * [simplify]: Extracting #4: cost 43 inf + 2797 75.039 * * [simplify]: Extracting #5: cost 4 inf + 8813 75.046 * * [simplify]: Extracting #6: cost 0 inf + 9373 75.053 * [simplify]: Simplified to (- 1/8 (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x))) 75.053 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/8 (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x))) (fma (- (/ 1/8 (hypot 1 x))) (/ 1 (* (hypot 1 x) (hypot 1 x))) (* (/ 1/8 (hypot 1 x)) (/ 1 (* (hypot 1 x) (hypot 1 x)))))) (* (sqrt (+ 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))))))))) 75.054 * [simplify]: Simplifying (fma (- (/ 1/8 (hypot 1 x))) (/ 1 (* (hypot 1 x) (hypot 1 x))) (* (/ 1/8 (hypot 1 x)) (/ 1 (* (hypot 1 x) (hypot 1 x))))) 75.054 * * [simplify]: iters left: 6 (10 enodes) 75.060 * * [simplify]: iters left: 5 (44 enodes) 75.068 * * [simplify]: iters left: 4 (82 enodes) 75.085 * * [simplify]: iters left: 3 (162 enodes) 75.131 * * [simplify]: iters left: 2 (274 enodes) 75.250 * * [simplify]: iters left: 1 (464 enodes) 75.459 * * [simplify]: Extracting #0: cost 1 inf + 0 75.459 * * [simplify]: Extracting #1: cost 0 inf + 1 75.459 * [simplify]: Simplified to 0 75.459 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/8 (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x))) 0) (* (sqrt (+ 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))))))))) 75.460 * * * * [progress]: [ 113 / 223 ] simplifiying candidate # 75.460 * [simplify]: Simplifying (fma (sqrt 1/8) (sqrt 1/8) (- (* (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1))) 75.460 * * [simplify]: iters left: 6 (11 enodes) 75.464 * * [simplify]: iters left: 5 (46 enodes) 75.472 * * [simplify]: iters left: 4 (74 enodes) 75.495 * * [simplify]: iters left: 3 (112 enodes) 75.523 * * [simplify]: iters left: 2 (161 enodes) 75.567 * * [simplify]: iters left: 1 (278 enodes) 75.703 * * [simplify]: Extracting #0: cost 1 inf + 0 75.703 * * [simplify]: Extracting #1: cost 6 inf + 0 75.703 * * [simplify]: Extracting #2: cost 57 inf + 1 75.704 * * [simplify]: Extracting #3: cost 100 inf + 86 75.705 * * [simplify]: Extracting #4: cost 87 inf + 1936 75.713 * * [simplify]: Extracting #5: cost 40 inf + 9771 75.721 * * [simplify]: Extracting #6: cost 6 inf + 18948 75.728 * * [simplify]: Extracting #7: cost 0 inf + 21182 75.736 * [simplify]: Simplified to (- 1/8 (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x))) 75.736 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/8 (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x))) (fma (- (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) 1 (* (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1))) (* (sqrt (+ 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))))))))) 75.737 * [simplify]: Simplifying (fma (- (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) 1 (* (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1)) 75.737 * * [simplify]: iters left: 6 (10 enodes) 75.743 * * [simplify]: iters left: 5 (41 enodes) 75.758 * * [simplify]: iters left: 4 (69 enodes) 75.780 * * [simplify]: iters left: 3 (103 enodes) 75.799 * * [simplify]: iters left: 2 (161 enodes) 75.839 * * [simplify]: iters left: 1 (281 enodes) 75.965 * * [simplify]: Extracting #0: cost 1 inf + 0 75.965 * * [simplify]: Extracting #1: cost 0 inf + 1 75.965 * [simplify]: Simplified to 0 75.965 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/8 (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x))) 0) (* (sqrt (+ 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))))))))) 75.966 * * * * [progress]: [ 114 / 223 ] simplifiying candidate # 75.966 * [simplify]: Simplifying (fma (sqrt 1/8) (sqrt 1/8) (- (* (/ 1 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1/8))) 75.966 * * [simplify]: iters left: 6 (11 enodes) 75.974 * * [simplify]: iters left: 5 (48 enodes) 75.985 * * [simplify]: iters left: 4 (77 enodes) 75.997 * * [simplify]: iters left: 3 (116 enodes) 76.024 * * [simplify]: iters left: 2 (193 enodes) 76.088 * * [simplify]: iters left: 1 (281 enodes) 76.168 * * [simplify]: Extracting #0: cost 1 inf + 0 76.169 * * [simplify]: Extracting #1: cost 12 inf + 0 76.169 * * [simplify]: Extracting #2: cost 55 inf + 2 76.169 * * [simplify]: Extracting #3: cost 88 inf + 86 76.170 * * [simplify]: Extracting #4: cost 76 inf + 1741 76.172 * * [simplify]: Extracting #5: cost 27 inf + 11464 76.176 * * [simplify]: Extracting #6: cost 7 inf + 16158 76.179 * * [simplify]: Extracting #7: cost 0 inf + 19161 76.183 * [simplify]: Simplified to (- 1/8 (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) 76.183 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/8 (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (fma (- (/ 1 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) 1/8 (* (/ 1 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1/8))) (* (sqrt (+ 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))))))))) 76.184 * [simplify]: Simplifying (fma (- (/ 1 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) 1/8 (* (/ 1 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1/8)) 76.184 * * [simplify]: iters left: 6 (10 enodes) 76.187 * * [simplify]: iters left: 5 (43 enodes) 76.194 * * [simplify]: iters left: 4 (69 enodes) 76.206 * * [simplify]: iters left: 3 (121 enodes) 76.233 * * [simplify]: iters left: 2 (182 enodes) 76.268 * * [simplify]: iters left: 1 (266 enodes) 76.323 * * [simplify]: Extracting #0: cost 1 inf + 0 76.323 * * [simplify]: Extracting #1: cost 0 inf + 1 76.323 * [simplify]: Simplified to 0 76.323 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/8 (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) 0) (* (sqrt (+ 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))))))))) 76.324 * * * * [progress]: [ 115 / 223 ] simplifiying candidate # 76.324 * [simplify]: Simplifying (fma 1 1/8 (- (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))))))) 76.324 * * [simplify]: iters left: 6 (12 enodes) 76.331 * * [simplify]: iters left: 5 (50 enodes) 76.349 * * [simplify]: iters left: 4 (73 enodes) 76.374 * * [simplify]: iters left: 3 (100 enodes) 76.408 * * [simplify]: iters left: 2 (149 enodes) 76.456 * * [simplify]: iters left: 1 (234 enodes) 76.509 * * [simplify]: Extracting #0: cost 1 inf + 0 76.509 * * [simplify]: Extracting #1: cost 5 inf + 0 76.509 * * [simplify]: Extracting #2: cost 34 inf + 2 76.510 * * [simplify]: Extracting #3: cost 90 inf + 3 76.510 * * [simplify]: Extracting #4: cost 90 inf + 1079 76.511 * * [simplify]: Extracting #5: cost 67 inf + 6577 76.515 * * [simplify]: Extracting #6: cost 20 inf + 31389 76.521 * * [simplify]: Extracting #7: cost 0 inf + 46571 76.529 * * [simplify]: Extracting #8: cost 0 inf + 46149 76.536 * [simplify]: Simplified to (+ 1/8 (/ -1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) 76.536 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (+ 1/8 (/ -1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (fma (- (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))))))) (* (sqrt (+ 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))))))))) 76.536 * [simplify]: Simplifying (fma (- (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))))) 76.536 * * [simplify]: iters left: 6 (12 enodes) 76.540 * * [simplify]: iters left: 5 (46 enodes) 76.550 * * [simplify]: iters left: 4 (70 enodes) 76.563 * * [simplify]: iters left: 3 (122 enodes) 76.584 * * [simplify]: iters left: 2 (181 enodes) 76.612 * * [simplify]: iters left: 1 (257 enodes) 76.690 * * [simplify]: Extracting #0: cost 1 inf + 0 76.690 * * [simplify]: Extracting #1: cost 0 inf + 1 76.690 * [simplify]: Simplified to 0 76.690 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (fma 1 1/8 (- (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))))))) 0) (* (sqrt (+ 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))))))))) 76.691 * * * * [progress]: [ 116 / 223 ] simplifiying candidate # 76.691 * [simplify]: Simplifying (fma 1 1/8 (- (* (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))))) 76.691 * * [simplify]: iters left: 6 (11 enodes) 76.694 * * [simplify]: iters left: 5 (41 enodes) 76.701 * * [simplify]: iters left: 4 (58 enodes) 76.709 * * [simplify]: iters left: 3 (74 enodes) 76.721 * * [simplify]: iters left: 2 (92 enodes) 76.746 * * [simplify]: iters left: 1 (120 enodes) 76.766 * * [simplify]: Extracting #0: cost 1 inf + 0 76.766 * * [simplify]: Extracting #1: cost 5 inf + 0 76.766 * * [simplify]: Extracting #2: cost 15 inf + 2 76.766 * * [simplify]: Extracting #3: cost 36 inf + 3 76.766 * * [simplify]: Extracting #4: cost 34 inf + 630 76.767 * * [simplify]: Extracting #5: cost 15 inf + 4138 76.768 * * [simplify]: Extracting #6: cost 3 inf + 7521 76.769 * * [simplify]: Extracting #7: cost 0 inf + 8516 76.770 * [simplify]: Simplified to (+ 1/8 (/ (/ -1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) 76.770 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (+ 1/8 (/ (/ -1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (- (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))))) (* (sqrt (+ 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))))))))) 76.770 * [simplify]: Simplifying (fma (- (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))))) 76.770 * * [simplify]: iters left: 6 (11 enodes) 76.773 * * [simplify]: iters left: 5 (38 enodes) 76.783 * * [simplify]: iters left: 4 (55 enodes) 76.801 * * [simplify]: iters left: 3 (79 enodes) 76.825 * * [simplify]: iters left: 2 (103 enodes) 76.856 * * [simplify]: iters left: 1 (129 enodes) 76.874 * * [simplify]: Extracting #0: cost 1 inf + 0 76.874 * * [simplify]: Extracting #1: cost 0 inf + 1 76.874 * [simplify]: Simplified to 0 76.874 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (fma 1 1/8 (- (* (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))))) 0) (* (sqrt (+ 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))))))))) 76.874 * * * * [progress]: [ 117 / 223 ] simplifiying candidate # 76.874 * [simplify]: Simplifying (fma 1 1/8 (- (* (/ (cbrt 1/8) (hypot 1 x)) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (hypot 1 x) (hypot 1 x)))))) 76.874 * * [simplify]: iters left: 6 (12 enodes) 76.878 * * [simplify]: iters left: 5 (54 enodes) 76.896 * * [simplify]: iters left: 4 (128 enodes) 76.930 * * [simplify]: iters left: 3 (274 enodes) 77.016 * * [simplify]: iters left: 2 (439 enodes) 77.197 * * [simplify]: Extracting #0: cost 1 inf + 0 77.197 * * [simplify]: Extracting #1: cost 5 inf + 0 77.198 * * [simplify]: Extracting #2: cost 53 inf + 2 77.198 * * [simplify]: Extracting #3: cost 105 inf + 487 77.201 * * [simplify]: Extracting #4: cost 80 inf + 5775 77.211 * * [simplify]: Extracting #5: cost 9 inf + 24539 77.222 * * [simplify]: Extracting #6: cost 0 inf + 27967 77.234 * [simplify]: Simplified to (+ 1/8 (/ -1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) 77.234 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (+ 1/8 (/ -1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (fma (- (/ (cbrt 1/8) (hypot 1 x))) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (hypot 1 x) (hypot 1 x))) (* (/ (cbrt 1/8) (hypot 1 x)) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (hypot 1 x) (hypot 1 x)))))) (* (sqrt (+ 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))))))))) 77.238 * [simplify]: Simplifying (fma (- (/ (cbrt 1/8) (hypot 1 x))) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (hypot 1 x) (hypot 1 x))) (* (/ (cbrt 1/8) (hypot 1 x)) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (hypot 1 x) (hypot 1 x))))) 77.238 * * [simplify]: iters left: 6 (12 enodes) 77.245 * * [simplify]: iters left: 5 (52 enodes) 77.264 * * [simplify]: iters left: 4 (118 enodes) 77.293 * * [simplify]: iters left: 3 (281 enodes) 77.377 * * [simplify]: iters left: 2 (478 enodes) 77.518 * * [simplify]: Extracting #0: cost 1 inf + 0 77.518 * * [simplify]: Extracting #1: cost 0 inf + 1 77.518 * [simplify]: Simplified to 0 77.518 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (fma 1 1/8 (- (* (/ (cbrt 1/8) (hypot 1 x)) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (hypot 1 x) (hypot 1 x)))))) 0) (* (sqrt (+ 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))))))))) 77.518 * * * * [progress]: [ 118 / 223 ] simplifiying candidate # 77.518 * [simplify]: Simplifying (fma 1 1/8 (- (* (/ (sqrt 1/8) (hypot 1 x)) (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x)))))) 77.519 * * [simplify]: iters left: 6 (11 enodes) 77.522 * * [simplify]: iters left: 5 (47 enodes) 77.531 * * [simplify]: iters left: 4 (89 enodes) 77.545 * * [simplify]: iters left: 3 (133 enodes) 77.576 * * [simplify]: iters left: 2 (170 enodes) 77.626 * * [simplify]: iters left: 1 (206 enodes) 77.671 * * [simplify]: Extracting #0: cost 1 inf + 0 77.672 * * [simplify]: Extracting #1: cost 5 inf + 0 77.672 * * [simplify]: Extracting #2: cost 26 inf + 2 77.672 * * [simplify]: Extracting #3: cost 49 inf + 44 77.673 * * [simplify]: Extracting #4: cost 27 inf + 3405 77.675 * * [simplify]: Extracting #5: cost 1 inf + 7896 77.677 * * [simplify]: Extracting #6: cost 0 inf + 8084 77.679 * [simplify]: Simplified to (+ 1/8 (/ (/ -1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) 77.679 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (+ 1/8 (/ (/ -1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (- (/ (sqrt 1/8) (hypot 1 x))) (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x))) (* (/ (sqrt 1/8) (hypot 1 x)) (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x)))))) (* (sqrt (+ 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))))))))) 77.680 * [simplify]: Simplifying (fma (- (/ (sqrt 1/8) (hypot 1 x))) (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x))) (* (/ (sqrt 1/8) (hypot 1 x)) (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x))))) 77.680 * * [simplify]: iters left: 6 (11 enodes) 77.686 * * [simplify]: iters left: 5 (45 enodes) 77.702 * * [simplify]: iters left: 4 (82 enodes) 77.730 * * [simplify]: iters left: 3 (134 enodes) 77.752 * * [simplify]: iters left: 2 (197 enodes) 77.812 * * [simplify]: iters left: 1 (258 enodes) 77.883 * * [simplify]: Extracting #0: cost 1 inf + 0 77.883 * * [simplify]: Extracting #1: cost 0 inf + 1 77.883 * [simplify]: Simplified to 0 77.883 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (fma 1 1/8 (- (* (/ (sqrt 1/8) (hypot 1 x)) (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x)))))) 0) (* (sqrt (+ 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))))))))) 77.883 * * * * [progress]: [ 119 / 223 ] simplifiying candidate # 77.883 * [simplify]: Simplifying (fma 1 1/8 (- (* (/ 1/8 (hypot 1 x)) (/ 1 (* (hypot 1 x) (hypot 1 x)))))) 77.883 * * [simplify]: iters left: 6 (10 enodes) 77.886 * * [simplify]: iters left: 5 (45 enodes) 77.895 * * [simplify]: iters left: 4 (94 enodes) 77.922 * * [simplify]: iters left: 3 (165 enodes) 77.987 * * [simplify]: iters left: 2 (274 enodes) 78.091 * * [simplify]: iters left: 1 (375 enodes) 78.270 * * [simplify]: Extracting #0: cost 1 inf + 0 78.271 * * [simplify]: Extracting #1: cost 7 inf + 0 78.271 * * [simplify]: Extracting #2: cost 37 inf + 2 78.271 * * [simplify]: Extracting #3: cost 67 inf + 4 78.274 * * [simplify]: Extracting #4: cost 32 inf + 4291 78.281 * * [simplify]: Extracting #5: cost 1 inf + 9122 78.288 * * [simplify]: Extracting #6: cost 0 inf + 9430 78.295 * [simplify]: Simplified to (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) 78.295 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (- (/ 1/8 (hypot 1 x))) (/ 1 (* (hypot 1 x) (hypot 1 x))) (* (/ 1/8 (hypot 1 x)) (/ 1 (* (hypot 1 x) (hypot 1 x)))))) (* (sqrt (+ 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))))))))) 78.296 * [simplify]: Simplifying (fma (- (/ 1/8 (hypot 1 x))) (/ 1 (* (hypot 1 x) (hypot 1 x))) (* (/ 1/8 (hypot 1 x)) (/ 1 (* (hypot 1 x) (hypot 1 x))))) 78.296 * * [simplify]: iters left: 6 (10 enodes) 78.302 * * [simplify]: iters left: 5 (44 enodes) 78.321 * * [simplify]: iters left: 4 (82 enodes) 78.354 * * [simplify]: iters left: 3 (162 enodes) 78.394 * * [simplify]: iters left: 2 (274 enodes) 78.505 * * [simplify]: iters left: 1 (464 enodes) 78.736 * * [simplify]: Extracting #0: cost 1 inf + 0 78.736 * * [simplify]: Extracting #1: cost 0 inf + 1 78.736 * [simplify]: Simplified to 0 78.736 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) 0) (* (sqrt (+ 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))))))))) 78.736 * * * * [progress]: [ 120 / 223 ] simplifiying candidate # 78.737 * [simplify]: Simplifying (fma 1 1/8 (- (* (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1))) 78.737 * * [simplify]: iters left: 6 (10 enodes) 78.744 * * [simplify]: iters left: 5 (43 enodes) 78.760 * * [simplify]: iters left: 4 (68 enodes) 78.782 * * [simplify]: iters left: 3 (106 enodes) 78.802 * * [simplify]: iters left: 2 (155 enodes) 78.849 * * [simplify]: iters left: 1 (272 enodes) 78.930 * * [simplify]: Extracting #0: cost 1 inf + 0 78.930 * * [simplify]: Extracting #1: cost 5 inf + 0 78.930 * * [simplify]: Extracting #2: cost 44 inf + 2 78.930 * * [simplify]: Extracting #3: cost 98 inf + 4 78.931 * * [simplify]: Extracting #4: cost 85 inf + 2299 78.934 * * [simplify]: Extracting #5: cost 24 inf + 14185 78.938 * * [simplify]: Extracting #6: cost 1 inf + 21281 78.942 * * [simplify]: Extracting #7: cost 0 inf + 21549 78.946 * [simplify]: Simplified to (+ 1/8 (/ (/ -1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) 78.946 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (+ 1/8 (/ (/ -1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (- (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) 1 (* (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1))) (* (sqrt (+ 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))))))))) 78.946 * [simplify]: Simplifying (fma (- (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) 1 (* (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1)) 78.946 * * [simplify]: iters left: 6 (10 enodes) 78.950 * * [simplify]: iters left: 5 (41 enodes) 78.959 * * [simplify]: iters left: 4 (69 enodes) 78.982 * * [simplify]: iters left: 3 (103 enodes) 79.008 * * [simplify]: iters left: 2 (161 enodes) 79.057 * * [simplify]: iters left: 1 (281 enodes) 79.184 * * [simplify]: Extracting #0: cost 1 inf + 0 79.184 * * [simplify]: Extracting #1: cost 0 inf + 1 79.184 * [simplify]: Simplified to 0 79.184 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (fma 1 1/8 (- (* (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1))) 0) (* (sqrt (+ 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))))))))) 79.185 * * * * [progress]: [ 121 / 223 ] simplifiying candidate # 79.185 * [simplify]: Simplifying (fma 1 1/8 (- (* (/ 1 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1/8))) 79.185 * * [simplify]: iters left: 6 (10 enodes) 79.192 * * [simplify]: iters left: 5 (44 enodes) 79.207 * * [simplify]: iters left: 4 (72 enodes) 79.230 * * [simplify]: iters left: 3 (111 enodes) 79.253 * * [simplify]: iters left: 2 (189 enodes) 79.308 * * [simplify]: iters left: 1 (273 enodes) 79.386 * * [simplify]: Extracting #0: cost 1 inf + 0 79.386 * * [simplify]: Extracting #1: cost 12 inf + 0 79.386 * * [simplify]: Extracting #2: cost 55 inf + 3 79.387 * * [simplify]: Extracting #3: cost 91 inf + 4 79.388 * * [simplify]: Extracting #4: cost 73 inf + 2406 79.394 * * [simplify]: Extracting #5: cost 27 inf + 10394 79.401 * * [simplify]: Extracting #6: cost 3 inf + 18397 79.407 * * [simplify]: Extracting #7: cost 0 inf + 19574 79.414 * [simplify]: Simplified to (- 1/8 (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) 79.414 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (- 1/8 (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (fma (- (/ 1 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) 1/8 (* (/ 1 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1/8))) (* (sqrt (+ 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))))))))) 79.415 * [simplify]: Simplifying (fma (- (/ 1 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) 1/8 (* (/ 1 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1/8)) 79.415 * * [simplify]: iters left: 6 (10 enodes) 79.421 * * [simplify]: iters left: 5 (43 enodes) 79.435 * * [simplify]: iters left: 4 (69 enodes) 79.462 * * [simplify]: iters left: 3 (121 enodes) 79.498 * * [simplify]: iters left: 2 (182 enodes) 79.555 * * [simplify]: iters left: 1 (266 enodes) 79.617 * * [simplify]: Extracting #0: cost 1 inf + 0 79.617 * * [simplify]: Extracting #1: cost 0 inf + 1 79.617 * [simplify]: Simplified to 0 79.617 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (fma 1 1/8 (- (* (/ 1 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1/8))) 0) (* (sqrt (+ 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))))))))) 79.618 * * * * [progress]: [ 122 / 223 ] simplifiying candidate # 79.618 * * * * [progress]: [ 123 / 223 ] simplifiying candidate # 79.618 * * * * [progress]: [ 124 / 223 ] simplifiying candidate # 79.618 * [simplify]: Simplifying (* (cbrt 1/8) (cbrt 1/8)) 79.619 * * [simplify]: iters left: 3 (3 enodes) 79.621 * * [simplify]: iters left: 2 (9 enodes) 79.624 * * [simplify]: Extracting #0: cost 1 inf + 0 79.624 * * [simplify]: Extracting #1: cost 3 inf + 0 79.624 * * [simplify]: Extracting #2: cost 5 inf + 0 79.624 * * [simplify]: Extracting #3: cost 4 inf + 1 79.624 * * [simplify]: Extracting #4: cost 0 inf + 405 79.624 * [simplify]: Simplified to (* (cbrt 1/8) (cbrt 1/8)) 79.624 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (* (sqrt (+ 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))))))))) 79.625 * * * * [progress]: [ 125 / 223 ] simplifiying candidate # 79.625 * [simplify]: Simplifying (sqrt 1/8) 79.625 * * [simplify]: iters left: 1 (2 enodes) 79.627 * * [simplify]: Extracting #0: cost 1 inf + 0 79.627 * * [simplify]: Extracting #1: cost 3 inf + 0 79.627 * * [simplify]: Extracting #2: cost 2 inf + 1 79.627 * * [simplify]: Extracting #3: cost 0 inf + 83 79.627 * [simplify]: Simplified to (sqrt 1/8) 79.627 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (fma (sqrt 1/8) (sqrt 1/8) (- (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (* (sqrt (+ 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))))))))) 79.627 * * * * [progress]: [ 126 / 223 ] simplifiying candidate # 79.627 * * * * [progress]: [ 127 / 223 ] simplifiying candidate # 79.628 * [simplify]: Simplifying (/ (exp 1/8) (exp (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) 79.628 * * [simplify]: iters left: 6 (10 enodes) 79.632 * * [simplify]: iters left: 5 (37 enodes) 79.639 * * [simplify]: iters left: 4 (50 enodes) 79.647 * * [simplify]: iters left: 3 (71 enodes) 79.659 * * [simplify]: iters left: 2 (98 enodes) 79.691 * * [simplify]: iters left: 1 (128 enodes) 79.712 * * [simplify]: Extracting #0: cost 1 inf + 0 79.712 * * [simplify]: Extracting #1: cost 9 inf + 0 79.712 * * [simplify]: Extracting #2: cost 15 inf + 1 79.712 * * [simplify]: Extracting #3: cost 24 inf + 2 79.712 * * [simplify]: Extracting #4: cost 35 inf + 74 79.713 * * [simplify]: Extracting #5: cost 34 inf + 675 79.713 * * [simplify]: Extracting #6: cost 18 inf + 3730 79.714 * * [simplify]: Extracting #7: cost 6 inf + 7218 79.716 * * [simplify]: Extracting #8: cost 1 inf + 8472 79.717 * * [simplify]: Extracting #9: cost 0 inf + 8991 79.718 * [simplify]: Simplified to (exp (- 1/8 (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))))) 79.718 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (log (exp (- 1/8 (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))))) (* (sqrt (+ 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))))))))) 79.718 * * * * [progress]: [ 128 / 223 ] simplifiying candidate # 79.718 * * * * [progress]: [ 129 / 223 ] simplifiying candidate # 79.719 * * * * [progress]: [ 130 / 223 ] simplifiying candidate # 79.719 * * * * [progress]: [ 131 / 223 ] simplifiying candidate # 79.719 * * * * [progress]: [ 132 / 223 ] simplifiying candidate # 79.719 * * * * [progress]: [ 133 / 223 ] simplifiying candidate # 79.719 * * * * [progress]: [ 134 / 223 ] simplifiying candidate # 79.719 * * * * [progress]: [ 135 / 223 ] simplifiying candidate # 79.719 * * * * [progress]: [ 136 / 223 ] simplifiying candidate # 79.719 * * * * [progress]: [ 137 / 223 ] simplifiying candidate # 79.719 * * * * [progress]: [ 138 / 223 ] simplifiying candidate # 79.719 * [simplify]: Simplifying (+ (sqrt 1/8) (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) 79.719 * * [simplify]: iters left: 6 (10 enodes) 79.722 * * [simplify]: iters left: 5 (36 enodes) 79.733 * * [simplify]: iters left: 4 (45 enodes) 79.748 * * [simplify]: iters left: 3 (54 enodes) 79.766 * * [simplify]: iters left: 2 (68 enodes) 79.793 * * [simplify]: iters left: 1 (94 enodes) 79.823 * * [simplify]: Extracting #0: cost 1 inf + 0 79.823 * * [simplify]: Extracting #1: cost 4 inf + 0 79.823 * * [simplify]: Extracting #2: cost 8 inf + 0 79.823 * * [simplify]: Extracting #3: cost 13 inf + 1 79.823 * * [simplify]: Extracting #4: cost 23 inf + 83 79.823 * * [simplify]: Extracting #5: cost 22 inf + 533 79.824 * * [simplify]: Extracting #6: cost 12 inf + 2590 79.826 * * [simplify]: Extracting #7: cost 3 inf + 5696 79.827 * * [simplify]: Extracting #8: cost 1 inf + 6216 79.828 * * [simplify]: Extracting #9: cost 0 inf + 6484 79.830 * [simplify]: Simplified to (+ (sqrt 1/8) (sqrt (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) 79.830 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (+ (sqrt 1/8) (sqrt (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (- (sqrt 1/8) (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))))) (* (sqrt (+ 1 (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))))))))) 79.831 * [simplify]: Simplifying (- (sqrt 1/8) (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) 79.831 * * [simplify]: iters left: 6 (10 enodes) 79.836 * * [simplify]: iters left: 5 (37 enodes) 79.849 * * [simplify]: iters left: 4 (49 enodes) 79.864 * * [simplify]: iters left: 3 (58 enodes) 79.883 * * [simplify]: iters left: 2 (72 enodes) 79.909 * * [simplify]: iters left: 1 (98 enodes) 79.944 * * [simplify]: Extracting #0: cost 1 inf + 0 79.945 * * [simplify]: Extracting #1: cost 5 inf + 0 79.945 * * [simplify]: Extracting #2: cost 10 inf + 0 79.945 * * [simplify]: Extracting #3: cost 15 inf + 1 79.945 * * [simplify]: Extracting #4: cost 26 inf + 42 79.945 * * [simplify]: Extracting #5: cost 25 inf + 476 79.946 * * [simplify]: Extracting #6: cost 13 inf + 2818 79.947 * * [simplify]: Extracting #7: cost 7 inf + 4899 79.949 * * [simplify]: Extracting #8: cost 2 inf + 6464 79.950 * * [simplify]: Extracting #9: cost 0 inf + 7000 79.952 * [simplify]: Simplified to (- (sqrt 1/8) (sqrt (/ (/ (/ 1/8 (hypot 1 x)) (hypot 1 x)) (hypot 1 x)))) 79.952 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (+ (sqrt 1/8) (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (- (sqrt 1/8) (sqrt (/ (/ (/ 1/8 (hypot 1 x)) (hypot 1 x)) (hypot 1 x))))) (* (sqrt (+ 1 (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))))))))) 79.953 * * * * [progress]: [ 139 / 223 ] simplifiying candidate # 79.953 * [simplify]: Simplifying (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) 79.953 * * [simplify]: iters left: 6 (8 enodes) 79.958 * * [simplify]: iters left: 5 (31 enodes) 79.969 * * [simplify]: iters left: 4 (48 enodes) 79.984 * * [simplify]: iters left: 3 (65 enodes) 79.998 * * [simplify]: iters left: 2 (82 enodes) 80.013 * * [simplify]: iters left: 1 (108 enodes) 80.036 * * [simplify]: Extracting #0: cost 1 inf + 0 80.036 * * [simplify]: Extracting #1: cost 5 inf + 0 80.036 * * [simplify]: Extracting #2: cost 14 inf + 1 80.036 * * [simplify]: Extracting #3: cost 27 inf + 2 80.036 * * [simplify]: Extracting #4: cost 31 inf + 5 80.036 * * [simplify]: Extracting #5: cost 22 inf + 1313 80.037 * * [simplify]: Extracting #6: cost 6 inf + 5093 80.038 * * [simplify]: Extracting #7: cost 1 inf + 6367 80.039 * * [simplify]: Extracting #8: cost 0 inf + 6635 80.039 * [simplify]: Simplified to (- 1/8 (/ (/ (/ 1/8 (hypot 1 x)) (hypot 1 x)) (hypot 1 x))) 80.040 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* 1 (- 1/8 (/ (/ (/ 1/8 (hypot 1 x)) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 80.040 * * * * [progress]: [ 140 / 223 ] simplifiying candidate # 80.040 * * * * [progress]: [ 141 / 223 ] simplifiying candidate #real (real->posit16 (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))))) (* (sqrt (+ 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)))))))))> 80.040 * * * * [progress]: [ 142 / 223 ] simplifiying candidate # 80.040 * * * * [progress]: [ 143 / 223 ] simplifiying candidate # 80.040 * * * * [progress]: [ 144 / 223 ] simplifiying candidate # 80.040 * [simplify]: Simplifying (/ 1/2 (hypot 1 x)) 80.040 * * [simplify]: iters left: 3 (5 enodes) 80.042 * * [simplify]: iters left: 2 (17 enodes) 80.045 * * [simplify]: iters left: 1 (19 enodes) 80.048 * * [simplify]: Extracting #0: cost 1 inf + 0 80.048 * * [simplify]: Extracting #1: cost 4 inf + 0 80.048 * * [simplify]: Extracting #2: cost 6 inf + 1 80.048 * * [simplify]: Extracting #3: cost 0 inf + 313 80.048 * [simplify]: Simplified to (/ 1/2 (hypot 1 x)) 80.048 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (pow (/ 1/2 (hypot 1 x)) (+ 1 1)) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 80.048 * [simplify]: Simplifying (+ 1 1) 80.048 * * [simplify]: iters left: 2 (2 enodes) 80.051 * * [simplify]: iters left: 1 (9 enodes) 80.053 * * [simplify]: Extracting #0: cost 1 inf + 0 80.053 * * [simplify]: Extracting #1: cost 0 inf + 1 80.053 * [simplify]: Simplified to 2 80.053 * [simplify]: Simplified (2 2 2 2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (pow (/ 1/2 (hypot 1 x)) 2) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 80.053 * * * * [progress]: [ 145 / 223 ] simplifiying candidate # 80.053 * [simplify]: Simplifying (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) 80.054 * * [simplify]: iters left: 5 (6 enodes) 80.055 * * [simplify]: iters left: 4 (24 enodes) 80.060 * * [simplify]: iters left: 3 (35 enodes) 80.065 * * [simplify]: iters left: 2 (44 enodes) 80.072 * * [simplify]: iters left: 1 (52 enodes) 80.087 * * [simplify]: Extracting #0: cost 1 inf + 0 80.087 * * [simplify]: Extracting #1: cost 11 inf + 0 80.087 * * [simplify]: Extracting #2: cost 18 inf + 2 80.087 * * [simplify]: Extracting #3: cost 13 inf + 297 80.088 * * [simplify]: Extracting #4: cost 3 inf + 1354 80.089 * * [simplify]: Extracting #5: cost 0 inf + 1728 80.090 * [simplify]: Simplified to (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)) 80.090 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (pow (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)) 1) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 80.090 * * * * [progress]: [ 146 / 223 ] simplifiying candidate # 80.090 * * * * [progress]: [ 147 / 223 ] simplifiying candidate # 80.090 * [simplify]: Simplifying (/ 1/2 (hypot 1 x)) 80.091 * * [simplify]: iters left: 3 (5 enodes) 80.093 * * [simplify]: iters left: 2 (17 enodes) 80.099 * * [simplify]: iters left: 1 (19 enodes) 80.102 * * [simplify]: Extracting #0: cost 1 inf + 0 80.102 * * [simplify]: Extracting #1: cost 4 inf + 0 80.102 * * [simplify]: Extracting #2: cost 6 inf + 1 80.102 * * [simplify]: Extracting #3: cost 0 inf + 313 80.102 * [simplify]: Simplified to (/ 1/2 (hypot 1 x)) 80.102 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (pow (/ 1/2 (hypot 1 x)) (+ 1 1)) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 80.103 * * * * [progress]: [ 148 / 223 ] simplifiying candidate # 80.103 * * * * [progress]: [ 149 / 223 ] simplifiying candidate # 80.103 * [simplify]: Simplifying (+ (- (log 1/2) (log (hypot 1 x))) (- (log 1/2) (log (hypot 1 x)))) 80.103 * * [simplify]: iters left: 6 (8 enodes) 80.106 * * [simplify]: iters left: 5 (32 enodes) 80.111 * * [simplify]: iters left: 4 (53 enodes) 80.120 * * [simplify]: iters left: 3 (88 enodes) 80.138 * * [simplify]: iters left: 2 (119 enodes) 80.174 * * [simplify]: iters left: 1 (135 enodes) 80.195 * * [simplify]: Extracting #0: cost 1 inf + 0 80.195 * * [simplify]: Extracting #1: cost 17 inf + 0 80.195 * * [simplify]: Extracting #2: cost 35 inf + 0 80.195 * * [simplify]: Extracting #3: cost 36 inf + 72 80.196 * * [simplify]: Extracting #4: cost 23 inf + 1426 80.196 * * [simplify]: Extracting #5: cost 4 inf + 5930 80.198 * * [simplify]: Extracting #6: cost 0 inf + 6780 80.199 * [simplify]: Simplified to (+ (- (log 1/2) (log (hypot 1 x))) (- (log 1/2) (log (hypot 1 x)))) 80.199 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (exp (+ (- (log 1/2) (log (hypot 1 x))) (- (log 1/2) (log (hypot 1 x))))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 80.200 * * * * [progress]: [ 150 / 223 ] simplifiying candidate # 80.200 * [simplify]: Simplifying (+ (- (log 1/2) (log (hypot 1 x))) (log (/ 1/2 (hypot 1 x)))) 80.200 * * [simplify]: iters left: 6 (10 enodes) 80.203 * * [simplify]: iters left: 5 (35 enodes) 80.209 * * [simplify]: iters left: 4 (57 enodes) 80.218 * * [simplify]: iters left: 3 (94 enodes) 80.237 * * [simplify]: iters left: 2 (124 enodes) 80.270 * * [simplify]: iters left: 1 (139 enodes) 80.310 * * [simplify]: Extracting #0: cost 1 inf + 0 80.310 * * [simplify]: Extracting #1: cost 20 inf + 0 80.310 * * [simplify]: Extracting #2: cost 38 inf + 0 80.311 * * [simplify]: Extracting #3: cost 40 inf + 72 80.311 * * [simplify]: Extracting #4: cost 28 inf + 1456 80.314 * * [simplify]: Extracting #5: cost 3 inf + 7056 80.317 * * [simplify]: Extracting #6: cost 0 inf + 7509 80.320 * * [simplify]: Extracting #7: cost 0 inf + 7379 80.323 * [simplify]: Simplified to (+ (log (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x)))) 80.324 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (exp (+ (log (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 80.324 * * * * [progress]: [ 151 / 223 ] simplifiying candidate # 80.324 * [simplify]: Simplifying (+ (log (/ 1/2 (hypot 1 x))) (- (log 1/2) (log (hypot 1 x)))) 80.324 * * [simplify]: iters left: 6 (10 enodes) 80.330 * * [simplify]: iters left: 5 (35 enodes) 80.341 * * [simplify]: iters left: 4 (53 enodes) 80.359 * * [simplify]: iters left: 3 (80 enodes) 80.388 * * [simplify]: iters left: 2 (129 enodes) 80.432 * * [simplify]: iters left: 1 (152 enodes) 80.472 * * [simplify]: Extracting #0: cost 1 inf + 0 80.472 * * [simplify]: Extracting #1: cost 20 inf + 0 80.472 * * [simplify]: Extracting #2: cost 41 inf + 0 80.473 * * [simplify]: Extracting #3: cost 44 inf + 1 80.473 * * [simplify]: Extracting #4: cost 34 inf + 931 80.474 * * [simplify]: Extracting #5: cost 29 inf + 1422 80.475 * * [simplify]: Extracting #6: cost 13 inf + 4784 80.478 * * [simplify]: Extracting #7: cost 1 inf + 8258 80.481 * * [simplify]: Extracting #8: cost 0 inf + 8536 80.484 * [simplify]: Simplified to (+ (log (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x)))) 80.484 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (exp (+ (log (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 80.485 * * * * [progress]: [ 152 / 223 ] simplifiying candidate # 80.485 * [simplify]: Simplifying (+ (log (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x)))) 80.485 * * [simplify]: iters left: 6 (7 enodes) 80.489 * * [simplify]: iters left: 5 (26 enodes) 80.498 * * [simplify]: iters left: 4 (38 enodes) 80.511 * * [simplify]: iters left: 3 (58 enodes) 80.534 * * [simplify]: iters left: 2 (92 enodes) 80.550 * * [simplify]: iters left: 1 (122 enodes) 80.567 * * [simplify]: Extracting #0: cost 1 inf + 0 80.567 * * [simplify]: Extracting #1: cost 15 inf + 0 80.567 * * [simplify]: Extracting #2: cost 30 inf + 0 80.567 * * [simplify]: Extracting #3: cost 33 inf + 1 80.567 * * [simplify]: Extracting #4: cost 28 inf + 256 80.568 * * [simplify]: Extracting #5: cost 15 inf + 2264 80.570 * * [simplify]: Extracting #6: cost 1 inf + 5212 80.573 * * [simplify]: Extracting #7: cost 0 inf + 5319 80.575 * [simplify]: Simplified to (+ (log (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x)))) 80.575 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (exp (+ (log (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 80.575 * * * * [progress]: [ 153 / 223 ] simplifiying candidate # 80.576 * * * * [progress]: [ 154 / 223 ] simplifiying candidate # 80.576 * * * * [progress]: [ 155 / 223 ] simplifiying candidate # 80.576 * [simplify]: Simplifying (* (/ (* (* 1/2 1/2) 1/2) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) (/ (* (* 1/2 1/2) 1/2) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) 80.576 * * [simplify]: iters left: 6 (10 enodes) 80.583 * * [simplify]: iters left: 5 (46 enodes) 80.604 * * [simplify]: iters left: 4 (145 enodes) 80.717 * * [simplify]: Extracting #0: cost 1 inf + 0 80.717 * * [simplify]: Extracting #1: cost 85 inf + 0 80.718 * * [simplify]: Extracting #2: cost 246 inf + 4 80.720 * * [simplify]: Extracting #3: cost 180 inf + 10622 80.729 * * [simplify]: Extracting #4: cost 17 inf + 39356 80.740 * * [simplify]: Extracting #5: cost 0 inf + 42672 80.752 * [simplify]: Simplified to (* (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))) (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) 80.752 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (cbrt (* (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))) (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 80.753 * * * * [progress]: [ 156 / 223 ] simplifiying candidate # 80.753 * [simplify]: Simplifying (* (/ (* (* 1/2 1/2) 1/2) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)))) 80.753 * * [simplify]: iters left: 6 (13 enodes) 80.761 * * [simplify]: iters left: 5 (62 enodes) 80.787 * * [simplify]: iters left: 4 (187 enodes) 80.903 * * [simplify]: Extracting #0: cost 1 inf + 0 80.903 * * [simplify]: Extracting #1: cost 67 inf + 0 80.904 * * [simplify]: Extracting #2: cost 190 inf + 2 80.908 * * [simplify]: Extracting #3: cost 145 inf + 10415 80.924 * * [simplify]: Extracting #4: cost 9 inf + 36484 80.943 * * [simplify]: Extracting #5: cost 0 inf + 38376 80.962 * * [simplify]: Extracting #6: cost 0 inf + 38375 80.982 * [simplify]: Simplified to (* (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) 80.982 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (cbrt (* (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 80.982 * * * * [progress]: [ 157 / 223 ] simplifiying candidate # 80.983 * [simplify]: Simplifying (* (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x))) (/ (* (* 1/2 1/2) 1/2) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) 80.983 * * [simplify]: iters left: 6 (13 enodes) 80.990 * * [simplify]: iters left: 5 (63 enodes) 81.003 * * [simplify]: iters left: 4 (174 enodes) 81.090 * * [simplify]: Extracting #0: cost 1 inf + 0 81.091 * * [simplify]: Extracting #1: cost 56 inf + 0 81.091 * * [simplify]: Extracting #2: cost 163 inf + 2 81.093 * * [simplify]: Extracting #3: cost 145 inf + 2892 81.104 * * [simplify]: Extracting #4: cost 26 inf + 25441 81.112 * * [simplify]: Extracting #5: cost 0 inf + 30274 81.120 * * [simplify]: Extracting #6: cost 0 inf + 30233 81.130 * [simplify]: Simplified to (* (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) 81.130 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (cbrt (* (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 81.130 * * * * [progress]: [ 158 / 223 ] simplifiying candidate # 81.131 * [simplify]: Simplifying (* (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x))) (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)))) 81.131 * * [simplify]: iters left: 6 (8 enodes) 81.136 * * [simplify]: iters left: 5 (39 enodes) 81.153 * * [simplify]: iters left: 4 (107 enodes) 81.206 * * [simplify]: iters left: 3 (227 enodes) 81.331 * * [simplify]: Extracting #0: cost 1 inf + 0 81.332 * * [simplify]: Extracting #1: cost 58 inf + 0 81.333 * * [simplify]: Extracting #2: cost 146 inf + 5 81.334 * * [simplify]: Extracting #3: cost 131 inf + 2494 81.342 * * [simplify]: Extracting #4: cost 38 inf + 21721 81.356 * * [simplify]: Extracting #5: cost 0 inf + 31832 81.365 * * [simplify]: Extracting #6: cost 0 inf + 31751 81.373 * [simplify]: Simplified to (* (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)) (* (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)) (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)))) 81.373 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (cbrt (* (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)) (* (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)) (/ (/ 1/4 (hypot 1 x)) (hypot 1 x))))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 81.373 * * * * [progress]: [ 159 / 223 ] simplifiying candidate # 81.373 * * * * [progress]: [ 160 / 223 ] simplifiying candidate # 81.373 * * * * [progress]: [ 161 / 223 ] simplifiying candidate # 81.373 * * * * [progress]: [ 162 / 223 ] simplifiying candidate # 81.373 * [simplify]: Simplifying (* 1/2 1/2) 81.373 * * [simplify]: iters left: 2 (2 enodes) 81.375 * * [simplify]: iters left: 1 (7 enodes) 81.376 * * [simplify]: Extracting #0: cost 1 inf + 0 81.376 * * [simplify]: Extracting #1: cost 0 inf + 1 81.376 * [simplify]: Simplified to 1/4 81.376 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (/ 1/4 (* (hypot 1 x) (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 81.376 * [simplify]: Simplifying (* (hypot 1 x) (hypot 1 x)) 81.377 * * [simplify]: iters left: 3 (4 enodes) 81.378 * * [simplify]: iters left: 2 (14 enodes) 81.380 * * [simplify]: iters left: 1 (16 enodes) 81.383 * * [simplify]: Extracting #0: cost 1 inf + 0 81.383 * * [simplify]: Extracting #1: cost 3 inf + 0 81.383 * * [simplify]: Extracting #2: cost 6 inf + 0 81.383 * * [simplify]: Extracting #3: cost 2 inf + 116 81.384 * * [simplify]: Extracting #4: cost 1 inf + 213 81.384 * * [simplify]: Extracting #5: cost 0 inf + 310 81.384 * [simplify]: Simplified to (* (hypot 1 x) (hypot 1 x)) 81.384 * [simplify]: Simplified (2 2 2 2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (/ (* 1/2 1/2) (* (hypot 1 x) (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 81.384 * * * * [progress]: [ 163 / 223 ] simplifiying candidate # 81.384 * * * * [progress]: [ 164 / 223 ] simplifiying candidate # 81.384 * [simplify]: Simplifying (* (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x))))) 81.384 * * [simplify]: iters left: 6 (8 enodes) 81.387 * * [simplify]: iters left: 5 (30 enodes) 81.398 * * [simplify]: iters left: 4 (36 enodes) 81.411 * * [simplify]: iters left: 3 (46 enodes) 81.427 * * [simplify]: iters left: 2 (70 enodes) 81.452 * * [simplify]: iters left: 1 (126 enodes) 81.478 * * [simplify]: Extracting #0: cost 1 inf + 0 81.478 * * [simplify]: Extracting #1: cost 21 inf + 0 81.478 * * [simplify]: Extracting #2: cost 55 inf + 2 81.478 * * [simplify]: Extracting #3: cost 47 inf + 11 81.479 * * [simplify]: Extracting #4: cost 32 inf + 3688 81.482 * * [simplify]: Extracting #5: cost 3 inf + 16423 81.485 * * [simplify]: Extracting #6: cost 0 inf + 18594 81.489 * [simplify]: Simplified to (* (/ 1/2 (hypot 1 x)) (cbrt (/ 1/2 (hypot 1 x)))) 81.489 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (* (/ 1/2 (hypot 1 x)) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x))))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 81.490 * [simplify]: Simplifying (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 81.490 * * [simplify]: iters left: 6 (7 enodes) 81.494 * * [simplify]: iters left: 5 (23 enodes) 81.504 * * [simplify]: iters left: 4 (25 enodes) 81.509 * * [simplify]: Extracting #0: cost 1 inf + 0 81.509 * * [simplify]: Extracting #1: cost 3 inf + 0 81.510 * * [simplify]: Extracting #2: cost 5 inf + 0 81.510 * * [simplify]: Extracting #3: cost 8 inf + 0 81.510 * * [simplify]: Extracting #4: cost 10 inf + 1 81.510 * * [simplify]: Extracting #5: cost 6 inf + 117 81.510 * * [simplify]: Extracting #6: cost 2 inf + 709 81.510 * * [simplify]: Extracting #7: cost 0 inf + 1105 81.510 * [simplify]: Simplified to (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 81.510 * [simplify]: Simplified (2 2 2 2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (* (* (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))))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 81.510 * * * * [progress]: [ 165 / 223 ] simplifiying candidate # 81.511 * [simplify]: Simplifying (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))) 81.511 * * [simplify]: iters left: 6 (7 enodes) 81.513 * * [simplify]: iters left: 5 (21 enodes) 81.516 * * [simplify]: iters left: 4 (24 enodes) 81.520 * * [simplify]: Extracting #0: cost 1 inf + 0 81.520 * * [simplify]: Extracting #1: cost 5 inf + 0 81.520 * * [simplify]: Extracting #2: cost 8 inf + 1 81.520 * * [simplify]: Extracting #3: cost 6 inf + 3 81.520 * * [simplify]: Extracting #4: cost 3 inf + 215 81.520 * * [simplify]: Extracting #5: cost 0 inf + 589 81.520 * [simplify]: Simplified to (/ 1/2 (hypot 1 x)) 81.520 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 x)) (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 81.521 * [simplify]: Simplifying (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))) 81.521 * * [simplify]: iters left: 6 (7 enodes) 81.522 * * [simplify]: iters left: 5 (21 enodes) 81.526 * * [simplify]: iters left: 4 (24 enodes) 81.529 * * [simplify]: Extracting #0: cost 1 inf + 0 81.529 * * [simplify]: Extracting #1: cost 5 inf + 0 81.529 * * [simplify]: Extracting #2: cost 8 inf + 1 81.529 * * [simplify]: Extracting #3: cost 6 inf + 3 81.529 * * [simplify]: Extracting #4: cost 3 inf + 215 81.529 * * [simplify]: Extracting #5: cost 0 inf + 589 81.530 * [simplify]: Simplified to (/ 1/2 (hypot 1 x)) 81.530 * [simplify]: Simplified (2 2 2 2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 81.530 * * * * [progress]: [ 166 / 223 ] simplifiying candidate # 81.530 * [simplify]: Simplifying (* (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) 81.530 * * [simplify]: iters left: 6 (10 enodes) 81.533 * * [simplify]: iters left: 5 (42 enodes) 81.547 * * [simplify]: iters left: 4 (100 enodes) 81.576 * * [simplify]: iters left: 3 (262 enodes) 81.651 * * [simplify]: iters left: 2 (479 enodes) 81.850 * * [simplify]: Extracting #0: cost 1 inf + 0 81.850 * * [simplify]: Extracting #1: cost 52 inf + 0 81.851 * * [simplify]: Extracting #2: cost 103 inf + 83 81.851 * * [simplify]: Extracting #3: cost 98 inf + 531 81.852 * * [simplify]: Extracting #4: cost 82 inf + 3324 81.858 * * [simplify]: Extracting #5: cost 20 inf + 18732 81.869 * * [simplify]: Extracting #6: cost 0 inf + 25819 81.882 * [simplify]: Simplified to (/ (/ (cbrt 1/2) (hypot 1 x)) (/ (cbrt (hypot 1 x)) 1/2)) 81.882 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (/ (/ (cbrt 1/2) (hypot 1 x)) (/ (cbrt (hypot 1 x)) 1/2)) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 81.883 * [simplify]: Simplifying (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) 81.883 * * [simplify]: iters left: 6 (8 enodes) 81.888 * * [simplify]: iters left: 5 (30 enodes) 81.897 * * [simplify]: iters left: 4 (40 enodes) 81.908 * * [simplify]: iters left: 3 (52 enodes) 81.918 * * [simplify]: iters left: 2 (59 enodes) 81.926 * * [simplify]: Extracting #0: cost 1 inf + 0 81.926 * * [simplify]: Extracting #1: cost 11 inf + 0 81.927 * * [simplify]: Extracting #2: cost 22 inf + 0 81.927 * * [simplify]: Extracting #3: cost 22 inf + 203 81.927 * * [simplify]: Extracting #4: cost 15 inf + 658 81.927 * * [simplify]: Extracting #5: cost 4 inf + 3413 81.928 * * [simplify]: Extracting #6: cost 0 inf + 4565 81.928 * [simplify]: Simplified to (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) 81.928 * [simplify]: Simplified (2 2 2 2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (/ (/ (cbrt 1/2) (hypot 1 x)) (/ (cbrt (hypot 1 x)) 1/2)) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 81.929 * * * * [progress]: [ 167 / 223 ] simplifiying candidate # 81.929 * [simplify]: Simplifying (* (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x)))) 81.929 * * [simplify]: iters left: 6 (9 enodes) 81.932 * * [simplify]: iters left: 5 (35 enodes) 81.941 * * [simplify]: iters left: 4 (59 enodes) 81.959 * * [simplify]: iters left: 3 (106 enodes) 81.980 * * [simplify]: iters left: 2 (170 enodes) 82.031 * * [simplify]: iters left: 1 (201 enodes) 82.074 * * [simplify]: Extracting #0: cost 1 inf + 0 82.074 * * [simplify]: Extracting #1: cost 32 inf + 0 82.075 * * [simplify]: Extracting #2: cost 61 inf + 82 82.076 * * [simplify]: Extracting #3: cost 36 inf + 3427 82.080 * * [simplify]: Extracting #4: cost 4 inf + 10385 82.084 * * [simplify]: Extracting #5: cost 0 inf + 11457 82.089 * [simplify]: Simplified to (* (/ 1/2 (hypot 1 x)) (cbrt 1/2)) 82.089 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (* (/ 1/2 (hypot 1 x)) (cbrt 1/2)) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 82.090 * [simplify]: Simplifying (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) 82.090 * * [simplify]: iters left: 6 (8 enodes) 82.095 * * [simplify]: iters left: 5 (30 enodes) 82.105 * * [simplify]: iters left: 4 (40 enodes) 82.111 * * [simplify]: iters left: 3 (52 enodes) 82.119 * * [simplify]: iters left: 2 (57 enodes) 82.129 * * [simplify]: iters left: 1 (58 enodes) 82.142 * * [simplify]: Extracting #0: cost 1 inf + 0 82.142 * * [simplify]: Extracting #1: cost 11 inf + 0 82.142 * * [simplify]: Extracting #2: cost 23 inf + 0 82.142 * * [simplify]: Extracting #3: cost 18 inf + 205 82.143 * * [simplify]: Extracting #4: cost 8 inf + 1507 82.144 * * [simplify]: Extracting #5: cost 0 inf + 3251 82.145 * [simplify]: Simplified to (/ (* (cbrt 1/2) (cbrt 1/2)) (hypot 1 x)) 82.145 * [simplify]: Simplified (2 2 2 2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (* (/ 1/2 (hypot 1 x)) (cbrt 1/2)) (/ (* (cbrt 1/2) (cbrt 1/2)) (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 82.145 * * * * [progress]: [ 168 / 223 ] simplifiying candidate # 82.146 * [simplify]: Simplifying (* (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (* (cbrt 1/2) (cbrt 1/2)) 1)) 82.146 * * [simplify]: iters left: 6 (6 enodes) 82.150 * * [simplify]: iters left: 5 (24 enodes) 82.158 * * [simplify]: iters left: 4 (42 enodes) 82.165 * * [simplify]: iters left: 3 (58 enodes) 82.176 * * [simplify]: iters left: 2 (75 enodes) 82.188 * * [simplify]: iters left: 1 (81 enodes) 82.197 * * [simplify]: Extracting #0: cost 1 inf + 0 82.197 * * [simplify]: Extracting #1: cost 10 inf + 0 82.197 * * [simplify]: Extracting #2: cost 10 inf + 4 82.197 * * [simplify]: Extracting #3: cost 8 inf + 206 82.197 * * [simplify]: Extracting #4: cost 2 inf + 934 82.198 * * [simplify]: Extracting #5: cost 0 inf + 1218 82.198 * [simplify]: Simplified to (* 1/2 (cbrt 1/2)) 82.198 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (* 1/2 (cbrt 1/2)) (* (/ (cbrt 1/2) (hypot 1 x)) (/ (cbrt 1/2) (hypot 1 x)))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 82.198 * [simplify]: Simplifying (* (/ (cbrt 1/2) (hypot 1 x)) (/ (cbrt 1/2) (hypot 1 x))) 82.198 * * [simplify]: iters left: 5 (7 enodes) 82.201 * * [simplify]: iters left: 4 (27 enodes) 82.205 * * [simplify]: iters left: 3 (37 enodes) 82.211 * * [simplify]: iters left: 2 (49 enodes) 82.218 * * [simplify]: iters left: 1 (56 enodes) 82.233 * * [simplify]: Extracting #0: cost 1 inf + 0 82.233 * * [simplify]: Extracting #1: cost 11 inf + 0 82.233 * * [simplify]: Extracting #2: cost 23 inf + 0 82.233 * * [simplify]: Extracting #3: cost 20 inf + 3 82.234 * * [simplify]: Extracting #4: cost 11 inf + 1168 82.234 * * [simplify]: Extracting #5: cost 2 inf + 2735 82.235 * * [simplify]: Extracting #6: cost 0 inf + 3171 82.236 * [simplify]: Simplified to (* (/ (cbrt 1/2) (hypot 1 x)) (/ (cbrt 1/2) (hypot 1 x))) 82.236 * [simplify]: Simplified (2 2 2 2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (* 1/2 (cbrt 1/2)) (* (/ (cbrt 1/2) (hypot 1 x)) (/ (cbrt 1/2) (hypot 1 x)))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 82.237 * * * * [progress]: [ 169 / 223 ] simplifiying candidate # 82.237 * [simplify]: Simplifying (* (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) 82.237 * * [simplify]: iters left: 6 (9 enodes) 82.242 * * [simplify]: iters left: 5 (35 enodes) 82.253 * * [simplify]: iters left: 4 (60 enodes) 82.266 * * [simplify]: iters left: 3 (99 enodes) 82.282 * * [simplify]: iters left: 2 (130 enodes) 82.315 * * [simplify]: iters left: 1 (151 enodes) 82.365 * * [simplify]: Extracting #0: cost 1 inf + 0 82.365 * * [simplify]: Extracting #1: cost 23 inf + 0 82.365 * * [simplify]: Extracting #2: cost 48 inf + 1 82.366 * * [simplify]: Extracting #3: cost 27 inf + 2689 82.369 * * [simplify]: Extracting #4: cost 7 inf + 7215 82.372 * * [simplify]: Extracting #5: cost 0 inf + 9713 82.376 * [simplify]: Simplified to (/ (/ 1/2 (hypot 1 x)) (cbrt (hypot 1 x))) 82.376 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (/ (/ 1/2 (hypot 1 x)) (cbrt (hypot 1 x))) (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x))))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 82.377 * [simplify]: Simplifying (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x)))) 82.377 * * [simplify]: iters left: 6 (8 enodes) 82.381 * * [simplify]: iters left: 5 (30 enodes) 82.387 * * [simplify]: iters left: 4 (40 enodes) 82.393 * * [simplify]: iters left: 3 (47 enodes) 82.400 * * [simplify]: iters left: 2 (55 enodes) 82.408 * * [simplify]: iters left: 1 (59 enodes) 82.420 * * [simplify]: Extracting #0: cost 1 inf + 0 82.420 * * [simplify]: Extracting #1: cost 11 inf + 0 82.420 * * [simplify]: Extracting #2: cost 19 inf + 1 82.420 * * [simplify]: Extracting #3: cost 21 inf + 42 82.420 * * [simplify]: Extracting #4: cost 18 inf + 85 82.421 * * [simplify]: Extracting #5: cost 13 inf + 650 82.422 * * [simplify]: Extracting #6: cost 0 inf + 3523 82.423 * [simplify]: Simplified to (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) 82.423 * [simplify]: Simplified (2 2 2 2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (/ (/ 1/2 (hypot 1 x)) (cbrt (hypot 1 x))) (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 82.423 * * * * [progress]: [ 170 / 223 ] simplifiying candidate # 82.423 * [simplify]: Simplifying (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 82.424 * * [simplify]: iters left: 6 (8 enodes) 82.428 * * [simplify]: iters left: 5 (30 enodes) 82.433 * * [simplify]: iters left: 4 (40 enodes) 82.442 * * [simplify]: iters left: 3 (47 enodes) 82.449 * * [simplify]: iters left: 2 (55 enodes) 82.457 * * [simplify]: iters left: 1 (57 enodes) 82.466 * * [simplify]: Extracting #0: cost 1 inf + 0 82.466 * * [simplify]: Extracting #1: cost 11 inf + 0 82.466 * * [simplify]: Extracting #2: cost 20 inf + 1 82.466 * * [simplify]: Extracting #3: cost 17 inf + 44 82.467 * * [simplify]: Extracting #4: cost 8 inf + 865 82.467 * * [simplify]: Extracting #5: cost 0 inf + 2129 82.467 * [simplify]: Simplified to (/ 1/2 (hypot 1 x)) 82.468 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 x)) (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 82.468 * [simplify]: Simplifying (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 82.468 * * [simplify]: iters left: 6 (8 enodes) 82.470 * * [simplify]: iters left: 5 (30 enodes) 82.475 * * [simplify]: iters left: 4 (40 enodes) 82.481 * * [simplify]: iters left: 3 (47 enodes) 82.488 * * [simplify]: iters left: 2 (55 enodes) 82.500 * * [simplify]: iters left: 1 (57 enodes) 82.516 * * [simplify]: Extracting #0: cost 1 inf + 0 82.516 * * [simplify]: Extracting #1: cost 11 inf + 0 82.516 * * [simplify]: Extracting #2: cost 20 inf + 1 82.516 * * [simplify]: Extracting #3: cost 17 inf + 44 82.516 * * [simplify]: Extracting #4: cost 8 inf + 865 82.516 * * [simplify]: Extracting #5: cost 0 inf + 2129 82.517 * [simplify]: Simplified to (/ 1/2 (hypot 1 x)) 82.517 * [simplify]: Simplified (2 2 2 2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 82.517 * * * * [progress]: [ 171 / 223 ] simplifiying candidate # 82.517 * [simplify]: Simplifying (* (/ (sqrt 1/2) 1) (/ (sqrt 1/2) 1)) 82.517 * * [simplify]: iters left: 5 (5 enodes) 82.519 * * [simplify]: iters left: 4 (19 enodes) 82.523 * * [simplify]: iters left: 3 (21 enodes) 82.526 * * [simplify]: Extracting #0: cost 1 inf + 0 82.526 * * [simplify]: Extracting #1: cost 0 inf + 1 82.526 * [simplify]: Simplified to 1/2 82.526 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* 1/2 (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) (hypot 1 x)))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 82.526 * [simplify]: Simplifying (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) (hypot 1 x))) 82.526 * * [simplify]: iters left: 5 (7 enodes) 82.530 * * [simplify]: iters left: 4 (27 enodes) 82.535 * * [simplify]: iters left: 3 (37 enodes) 82.540 * * [simplify]: iters left: 2 (44 enodes) 82.547 * * [simplify]: iters left: 1 (52 enodes) 82.557 * * [simplify]: Extracting #0: cost 1 inf + 0 82.557 * * [simplify]: Extracting #1: cost 11 inf + 0 82.558 * * [simplify]: Extracting #2: cost 20 inf + 1 82.558 * * [simplify]: Extracting #3: cost 16 inf + 85 82.558 * * [simplify]: Extracting #4: cost 8 inf + 1066 82.559 * * [simplify]: Extracting #5: cost 0 inf + 2129 82.560 * [simplify]: Simplified to (/ 1/2 (* (hypot 1 x) (hypot 1 x))) 82.560 * [simplify]: Simplified (2 2 2 2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* 1/2 (/ 1/2 (* (hypot 1 x) (hypot 1 x)))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 82.560 * * * * [progress]: [ 172 / 223 ] simplifiying candidate # 82.560 * [simplify]: Simplifying (* (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) 82.560 * * [simplify]: iters left: 6 (7 enodes) 82.562 * * [simplify]: iters left: 5 (29 enodes) 82.567 * * [simplify]: iters left: 4 (50 enodes) 82.576 * * [simplify]: iters left: 3 (82 enodes) 82.597 * * [simplify]: iters left: 2 (99 enodes) 82.628 * * [simplify]: iters left: 1 (112 enodes) 82.657 * * [simplify]: Extracting #0: cost 1 inf + 0 82.657 * * [simplify]: Extracting #1: cost 11 inf + 0 82.657 * * [simplify]: Extracting #2: cost 23 inf + 2 82.657 * * [simplify]: Extracting #3: cost 25 inf + 4 82.657 * * [simplify]: Extracting #4: cost 23 inf + 63 82.658 * * [simplify]: Extracting #5: cost 11 inf + 2455 82.659 * * [simplify]: Extracting #6: cost 1 inf + 4898 82.661 * * [simplify]: Extracting #7: cost 0 inf + 5115 82.662 * [simplify]: Simplified to (/ (/ 1 (cbrt (hypot 1 x))) (hypot 1 x)) 82.663 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (/ (/ 1 (cbrt (hypot 1 x))) (hypot 1 x)) (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1/2 (cbrt (hypot 1 x))))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 82.663 * [simplify]: Simplifying (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1/2 (cbrt (hypot 1 x)))) 82.663 * * [simplify]: iters left: 6 (7 enodes) 82.667 * * [simplify]: iters left: 5 (27 enodes) 82.677 * * [simplify]: iters left: 4 (38 enodes) 82.689 * * [simplify]: iters left: 3 (47 enodes) 82.702 * * [simplify]: iters left: 2 (55 enodes) 82.718 * * [simplify]: iters left: 1 (59 enodes) 82.728 * * [simplify]: Extracting #0: cost 1 inf + 0 82.729 * * [simplify]: Extracting #1: cost 11 inf + 0 82.729 * * [simplify]: Extracting #2: cost 17 inf + 2 82.729 * * [simplify]: Extracting #3: cost 20 inf + 2 82.729 * * [simplify]: Extracting #4: cost 17 inf + 61 82.729 * * [simplify]: Extracting #5: cost 8 inf + 1580 82.729 * * [simplify]: Extracting #6: cost 1 inf + 2904 82.730 * * [simplify]: Extracting #7: cost 0 inf + 3122 82.730 * [simplify]: Simplified to (/ 1/4 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 82.730 * [simplify]: Simplified (2 2 2 2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (/ (/ 1 (cbrt (hypot 1 x))) (hypot 1 x)) (/ 1/4 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 82.731 * * * * [progress]: [ 173 / 223 ] simplifiying candidate # 82.731 * [simplify]: Simplifying (* (/ 1 (sqrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x)))) 82.731 * * [simplify]: iters left: 6 (6 enodes) 82.733 * * [simplify]: iters left: 5 (24 enodes) 82.737 * * [simplify]: iters left: 4 (32 enodes) 82.741 * * [simplify]: iters left: 3 (38 enodes) 82.748 * * [simplify]: Extracting #0: cost 1 inf + 0 82.748 * * [simplify]: Extracting #1: cost 6 inf + 0 82.748 * * [simplify]: Extracting #2: cost 9 inf + 1 82.748 * * [simplify]: Extracting #3: cost 6 inf + 116 82.748 * * [simplify]: Extracting #4: cost 2 inf + 544 82.748 * * [simplify]: Extracting #5: cost 0 inf + 778 82.748 * [simplify]: Simplified to (/ 1 (hypot 1 x)) 82.748 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (/ 1 (hypot 1 x)) (* (/ 1/2 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 82.749 * [simplify]: Simplifying (* (/ 1/2 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x)))) 82.749 * * [simplify]: iters left: 6 (7 enodes) 82.751 * * [simplify]: iters left: 5 (27 enodes) 82.760 * * [simplify]: iters left: 4 (38 enodes) 82.771 * * [simplify]: iters left: 3 (47 enodes) 82.782 * * [simplify]: iters left: 2 (55 enodes) 82.790 * * [simplify]: iters left: 1 (57 enodes) 82.798 * * [simplify]: Extracting #0: cost 1 inf + 0 82.798 * * [simplify]: Extracting #1: cost 11 inf + 0 82.798 * * [simplify]: Extracting #2: cost 18 inf + 2 82.798 * * [simplify]: Extracting #3: cost 14 inf + 159 82.798 * * [simplify]: Extracting #4: cost 3 inf + 1355 82.799 * * [simplify]: Extracting #5: cost 0 inf + 1728 82.799 * [simplify]: Simplified to (/ 1/4 (hypot 1 x)) 82.799 * [simplify]: Simplified (2 2 2 2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (/ 1 (hypot 1 x)) (/ 1/4 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 82.799 * * * * [progress]: [ 174 / 223 ] simplifiying candidate # 82.800 * [simplify]: Simplifying (* (/ 1 1) (/ 1 1)) 82.800 * * [simplify]: iters left: 4 (3 enodes) 82.802 * * [simplify]: iters left: 3 (10 enodes) 82.803 * * [simplify]: iters left: 2 (12 enodes) 82.805 * * [simplify]: Extracting #0: cost 1 inf + 0 82.805 * * [simplify]: Extracting #1: cost 0 inf + 1 82.805 * [simplify]: Simplified to 1 82.805 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* 1 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 82.805 * [simplify]: Simplifying (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) 82.805 * * [simplify]: iters left: 5 (6 enodes) 82.807 * * [simplify]: iters left: 4 (24 enodes) 82.811 * * [simplify]: iters left: 3 (35 enodes) 82.822 * * [simplify]: iters left: 2 (44 enodes) 82.834 * * [simplify]: iters left: 1 (52 enodes) 82.848 * * [simplify]: Extracting #0: cost 1 inf + 0 82.848 * * [simplify]: Extracting #1: cost 11 inf + 0 82.848 * * [simplify]: Extracting #2: cost 18 inf + 2 82.848 * * [simplify]: Extracting #3: cost 13 inf + 297 82.849 * * [simplify]: Extracting #4: cost 3 inf + 1354 82.850 * * [simplify]: Extracting #5: cost 0 inf + 1728 82.851 * [simplify]: Simplified to (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)) 82.851 * [simplify]: Simplified (2 2 2 2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* 1 (/ (/ 1/4 (hypot 1 x)) (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 82.851 * * * * [progress]: [ 175 / 223 ] simplifiying candidate # 82.851 * [simplify]: Simplifying (* 1 1) 82.851 * * [simplify]: iters left: 2 (2 enodes) 82.853 * * [simplify]: iters left: 1 (6 enodes) 82.855 * * [simplify]: Extracting #0: cost 1 inf + 0 82.855 * * [simplify]: Extracting #1: cost 0 inf + 1 82.855 * [simplify]: Simplified to 1 82.855 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* 1 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 82.856 * [simplify]: Simplifying (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) 82.856 * * [simplify]: iters left: 5 (6 enodes) 82.861 * * [simplify]: iters left: 4 (24 enodes) 82.869 * * [simplify]: iters left: 3 (35 enodes) 82.880 * * [simplify]: iters left: 2 (44 enodes) 82.892 * * [simplify]: iters left: 1 (52 enodes) 82.906 * * [simplify]: Extracting #0: cost 1 inf + 0 82.906 * * [simplify]: Extracting #1: cost 11 inf + 0 82.906 * * [simplify]: Extracting #2: cost 18 inf + 2 82.907 * * [simplify]: Extracting #3: cost 13 inf + 297 82.907 * * [simplify]: Extracting #4: cost 3 inf + 1354 82.908 * * [simplify]: Extracting #5: cost 0 inf + 1728 82.909 * [simplify]: Simplified to (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)) 82.909 * [simplify]: Simplified (2 2 2 2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* 1 (/ (/ 1/4 (hypot 1 x)) (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 82.909 * * * * [progress]: [ 176 / 223 ] simplifiying candidate # 82.910 * [simplify]: Simplifying (* 1/2 1/2) 82.910 * * [simplify]: iters left: 2 (2 enodes) 82.912 * * [simplify]: iters left: 1 (7 enodes) 82.914 * * [simplify]: Extracting #0: cost 1 inf + 0 82.914 * * [simplify]: Extracting #1: cost 0 inf + 1 82.914 * [simplify]: Simplified to 1/4 82.914 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* 1/4 (* (/ 1 (hypot 1 x)) (/ 1 (hypot 1 x)))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 82.915 * [simplify]: Simplifying (* (/ 1 (hypot 1 x)) (/ 1 (hypot 1 x))) 82.915 * * [simplify]: iters left: 5 (5 enodes) 82.917 * * [simplify]: iters left: 4 (21 enodes) 82.924 * * [simplify]: iters left: 3 (29 enodes) 82.933 * * [simplify]: iters left: 2 (35 enodes) 82.942 * * [simplify]: Extracting #0: cost 1 inf + 0 82.942 * * [simplify]: Extracting #1: cost 6 inf + 0 82.942 * * [simplify]: Extracting #2: cost 9 inf + 1 82.942 * * [simplify]: Extracting #3: cost 8 inf + 2 82.942 * * [simplify]: Extracting #4: cost 2 inf + 544 82.942 * * [simplify]: Extracting #5: cost 0 inf + 778 82.943 * [simplify]: Simplified to (* (/ 1 (hypot 1 x)) (/ 1 (hypot 1 x))) 82.943 * [simplify]: Simplified (2 2 2 2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (* 1/2 1/2) (* (/ 1 (hypot 1 x)) (/ 1 (hypot 1 x)))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 82.943 * * * * [progress]: [ 177 / 223 ] simplifiying candidate # 82.944 * [simplify]: Simplifying (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))) 82.944 * * [simplify]: iters left: 6 (7 enodes) 82.948 * * [simplify]: iters left: 5 (21 enodes) 82.955 * * [simplify]: iters left: 4 (24 enodes) 82.959 * * [simplify]: Extracting #0: cost 1 inf + 0 82.959 * * [simplify]: Extracting #1: cost 5 inf + 0 82.959 * * [simplify]: Extracting #2: cost 8 inf + 1 82.959 * * [simplify]: Extracting #3: cost 6 inf + 3 82.959 * * [simplify]: Extracting #4: cost 3 inf + 215 82.959 * * [simplify]: Extracting #5: cost 0 inf + 589 82.959 * [simplify]: Simplified to (/ 1/2 (hypot 1 x)) 82.959 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 x)) (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 82.959 * [simplify]: Simplifying (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))) 82.959 * * [simplify]: iters left: 6 (7 enodes) 82.961 * * [simplify]: iters left: 5 (21 enodes) 82.965 * * [simplify]: iters left: 4 (24 enodes) 82.968 * * [simplify]: Extracting #0: cost 1 inf + 0 82.969 * * [simplify]: Extracting #1: cost 5 inf + 0 82.969 * * [simplify]: Extracting #2: cost 8 inf + 1 82.969 * * [simplify]: Extracting #3: cost 6 inf + 3 82.969 * * [simplify]: Extracting #4: cost 3 inf + 215 82.969 * * [simplify]: Extracting #5: cost 0 inf + 589 82.969 * [simplify]: Simplified to (/ 1/2 (hypot 1 x)) 82.969 * [simplify]: Simplified (2 2 2 2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 82.969 * * * * [progress]: [ 178 / 223 ] simplifiying candidate # 82.969 * [simplify]: Simplifying (* (sqrt (/ 1/2 (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 82.970 * * [simplify]: iters left: 6 (10 enodes) 82.972 * * [simplify]: iters left: 5 (35 enodes) 82.978 * * [simplify]: iters left: 4 (43 enodes) 82.986 * * [simplify]: iters left: 3 (47 enodes) 83.000 * * [simplify]: iters left: 2 (51 enodes) 83.015 * * [simplify]: iters left: 1 (54 enodes) 83.030 * * [simplify]: Extracting #0: cost 1 inf + 0 83.031 * * [simplify]: Extracting #1: cost 10 inf + 0 83.031 * * [simplify]: Extracting #2: cost 21 inf + 0 83.031 * * [simplify]: Extracting #3: cost 24 inf + 1 83.031 * * [simplify]: Extracting #4: cost 20 inf + 85 83.031 * * [simplify]: Extracting #5: cost 9 inf + 1760 83.032 * * [simplify]: Extracting #6: cost 1 inf + 3263 83.034 * * [simplify]: Extracting #7: cost 0 inf + 3481 83.035 * [simplify]: Simplified to (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))) 83.035 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))) (* (sqrt (/ 1/2 (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 83.035 * [simplify]: Simplifying (* (sqrt (/ 1/2 (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 83.035 * * [simplify]: iters left: 6 (10 enodes) 83.038 * * [simplify]: iters left: 5 (35 enodes) 83.044 * * [simplify]: iters left: 4 (43 enodes) 83.050 * * [simplify]: iters left: 3 (47 enodes) 83.057 * * [simplify]: iters left: 2 (51 enodes) 83.065 * * [simplify]: iters left: 1 (54 enodes) 83.073 * * [simplify]: Extracting #0: cost 1 inf + 0 83.073 * * [simplify]: Extracting #1: cost 10 inf + 0 83.073 * * [simplify]: Extracting #2: cost 21 inf + 0 83.073 * * [simplify]: Extracting #3: cost 24 inf + 1 83.073 * * [simplify]: Extracting #4: cost 20 inf + 85 83.074 * * [simplify]: Extracting #5: cost 9 inf + 1760 83.075 * * [simplify]: Extracting #6: cost 1 inf + 3263 83.076 * * [simplify]: Extracting #7: cost 0 inf + 3481 83.077 * [simplify]: Simplified to (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))) 83.077 * [simplify]: Simplified (2 2 2 2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (* (sqrt (/ 1/2 (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 83.078 * * * * [progress]: [ 179 / 223 ] simplifiying candidate # 83.078 * [simplify]: Simplifying (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))) 83.078 * * [simplify]: iters left: 6 (10 enodes) 83.084 * * [simplify]: iters left: 5 (35 enodes) 83.095 * * [simplify]: iters left: 4 (43 enodes) 83.110 * * [simplify]: iters left: 3 (45 enodes) 83.123 * * [simplify]: Extracting #0: cost 1 inf + 0 83.123 * * [simplify]: Extracting #1: cost 8 inf + 0 83.123 * * [simplify]: Extracting #2: cost 17 inf + 0 83.123 * * [simplify]: Extracting #3: cost 20 inf + 1 83.123 * * [simplify]: Extracting #4: cost 17 inf + 44 83.123 * * [simplify]: Extracting #5: cost 12 inf + 394 83.124 * * [simplify]: Extracting #6: cost 1 inf + 2471 83.125 * * [simplify]: Extracting #7: cost 0 inf + 2689 83.126 * [simplify]: Simplified to (/ (sqrt 1/2) (/ (sqrt (hypot 1 x)) (sqrt (/ 1/2 (hypot 1 x))))) 83.126 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (/ (sqrt 1/2) (/ (sqrt (hypot 1 x)) (sqrt (/ 1/2 (hypot 1 x))))) (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 83.126 * [simplify]: Simplifying (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))) 83.127 * * [simplify]: iters left: 6 (10 enodes) 83.132 * * [simplify]: iters left: 5 (35 enodes) 83.143 * * [simplify]: iters left: 4 (43 enodes) 83.155 * * [simplify]: iters left: 3 (45 enodes) 83.166 * * [simplify]: Extracting #0: cost 1 inf + 0 83.166 * * [simplify]: Extracting #1: cost 8 inf + 0 83.167 * * [simplify]: Extracting #2: cost 17 inf + 0 83.167 * * [simplify]: Extracting #3: cost 20 inf + 1 83.167 * * [simplify]: Extracting #4: cost 17 inf + 44 83.167 * * [simplify]: Extracting #5: cost 12 inf + 394 83.167 * * [simplify]: Extracting #6: cost 1 inf + 2471 83.168 * * [simplify]: Extracting #7: cost 0 inf + 2689 83.168 * [simplify]: Simplified to (/ (sqrt 1/2) (/ (sqrt (hypot 1 x)) (sqrt (/ 1/2 (hypot 1 x))))) 83.168 * [simplify]: Simplified (2 2 2 2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))) (/ (sqrt 1/2) (/ (sqrt (hypot 1 x)) (sqrt (/ 1/2 (hypot 1 x)))))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 83.168 * * * * [progress]: [ 180 / 223 ] simplifiying candidate # 83.169 * [simplify]: Simplifying (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 83.169 * * [simplify]: iters left: 6 (8 enodes) 83.171 * * [simplify]: iters left: 5 (30 enodes) 83.176 * * [simplify]: iters left: 4 (40 enodes) 83.183 * * [simplify]: iters left: 3 (47 enodes) 83.189 * * [simplify]: iters left: 2 (55 enodes) 83.203 * * [simplify]: iters left: 1 (57 enodes) 83.218 * * [simplify]: Extracting #0: cost 1 inf + 0 83.219 * * [simplify]: Extracting #1: cost 11 inf + 0 83.219 * * [simplify]: Extracting #2: cost 20 inf + 1 83.219 * * [simplify]: Extracting #3: cost 17 inf + 44 83.219 * * [simplify]: Extracting #4: cost 8 inf + 865 83.220 * * [simplify]: Extracting #5: cost 0 inf + 2129 83.221 * [simplify]: Simplified to (/ 1/2 (hypot 1 x)) 83.221 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 x)) (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 83.222 * [simplify]: Simplifying (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 83.222 * * [simplify]: iters left: 6 (8 enodes) 83.227 * * [simplify]: iters left: 5 (30 enodes) 83.239 * * [simplify]: iters left: 4 (40 enodes) 83.248 * * [simplify]: iters left: 3 (47 enodes) 83.255 * * [simplify]: iters left: 2 (55 enodes) 83.263 * * [simplify]: iters left: 1 (57 enodes) 83.271 * * [simplify]: Extracting #0: cost 1 inf + 0 83.271 * * [simplify]: Extracting #1: cost 11 inf + 0 83.271 * * [simplify]: Extracting #2: cost 20 inf + 1 83.271 * * [simplify]: Extracting #3: cost 17 inf + 44 83.271 * * [simplify]: Extracting #4: cost 8 inf + 865 83.272 * * [simplify]: Extracting #5: cost 0 inf + 2129 83.272 * [simplify]: Simplified to (/ 1/2 (hypot 1 x)) 83.272 * [simplify]: Simplified (2 2 2 2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 83.273 * * * * [progress]: [ 181 / 223 ] simplifiying candidate # 83.273 * [simplify]: Simplifying (/ 1/2 (hypot 1 x)) 83.273 * * [simplify]: iters left: 3 (5 enodes) 83.274 * * [simplify]: iters left: 2 (17 enodes) 83.277 * * [simplify]: iters left: 1 (19 enodes) 83.280 * * [simplify]: Extracting #0: cost 1 inf + 0 83.280 * * [simplify]: Extracting #1: cost 4 inf + 0 83.280 * * [simplify]: Extracting #2: cost 6 inf + 1 83.280 * * [simplify]: Extracting #3: cost 0 inf + 313 83.280 * [simplify]: Simplified to (/ 1/2 (hypot 1 x)) 83.280 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (pow (/ 1/2 (hypot 1 x)) (* 2 1)) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 83.281 * [simplify]: Simplifying (* 2 1) 83.281 * * [simplify]: iters left: 2 (3 enodes) 83.282 * * [simplify]: iters left: 1 (9 enodes) 83.284 * * [simplify]: Extracting #0: cost 1 inf + 0 83.284 * * [simplify]: Extracting #1: cost 0 inf + 1 83.284 * [simplify]: Simplified to 2 83.284 * [simplify]: Simplified (2 2 2 2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (pow (/ 1/2 (hypot 1 x)) 2) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 83.284 * * * * [progress]: [ 182 / 223 ] simplifiying candidate # 83.284 * [simplify]: Simplifying (cbrt (/ 1/2 (hypot 1 x))) 83.284 * * [simplify]: iters left: 4 (6 enodes) 83.286 * * [simplify]: iters left: 3 (20 enodes) 83.291 * * [simplify]: iters left: 2 (22 enodes) 83.297 * * [simplify]: Extracting #0: cost 1 inf + 0 83.298 * * [simplify]: Extracting #1: cost 3 inf + 0 83.298 * * [simplify]: Extracting #2: cost 6 inf + 0 83.298 * * [simplify]: Extracting #3: cost 8 inf + 1 83.298 * * [simplify]: Extracting #4: cost 6 inf + 3 83.298 * * [simplify]: Extracting #5: cost 1 inf + 491 83.298 * * [simplify]: Extracting #6: cost 0 inf + 669 83.298 * [simplify]: Simplified to (cbrt (/ 1/2 (hypot 1 x))) 83.298 * [simplify]: Simplified (2 2 2 2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (* (/ 1/2 (hypot 1 x)) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x))))) (cbrt (/ 1/2 (hypot 1 x)))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 83.299 * * * * [progress]: [ 183 / 223 ] simplifiying candidate # 83.299 * [simplify]: Simplifying (sqrt (/ 1/2 (hypot 1 x))) 83.299 * * [simplify]: iters left: 4 (6 enodes) 83.302 * * [simplify]: iters left: 3 (20 enodes) 83.309 * * [simplify]: iters left: 2 (22 enodes) 83.316 * * [simplify]: Extracting #0: cost 1 inf + 0 83.316 * * [simplify]: Extracting #1: cost 3 inf + 0 83.316 * * [simplify]: Extracting #2: cost 6 inf + 0 83.316 * * [simplify]: Extracting #3: cost 8 inf + 1 83.316 * * [simplify]: Extracting #4: cost 6 inf + 3 83.316 * * [simplify]: Extracting #5: cost 1 inf + 451 83.317 * * [simplify]: Extracting #6: cost 0 inf + 589 83.317 * [simplify]: Simplified to (sqrt (/ 1/2 (hypot 1 x))) 83.317 * [simplify]: Simplified (2 2 2 2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (* (/ 1/2 (hypot 1 x)) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (/ 1/2 (hypot 1 x)))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 83.317 * * * * [progress]: [ 184 / 223 ] simplifiying candidate # 83.318 * [simplify]: Simplifying (/ (cbrt 1/2) (cbrt (hypot 1 x))) 83.318 * * [simplify]: iters left: 4 (7 enodes) 83.322 * * [simplify]: iters left: 3 (23 enodes) 83.329 * * [simplify]: iters left: 2 (25 enodes) 83.337 * * [simplify]: Extracting #0: cost 1 inf + 0 83.337 * * [simplify]: Extracting #1: cost 4 inf + 0 83.337 * * [simplify]: Extracting #2: cost 8 inf + 0 83.337 * * [simplify]: Extracting #3: cost 10 inf + 1 83.337 * * [simplify]: Extracting #4: cost 6 inf + 165 83.337 * * [simplify]: Extracting #5: cost 2 inf + 674 83.338 * * [simplify]: Extracting #6: cost 0 inf + 1069 83.338 * [simplify]: Simplified to (/ (cbrt 1/2) (cbrt (hypot 1 x))) 83.338 * [simplify]: Simplified (2 2 2 2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (* (/ 1/2 (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 83.338 * * * * [progress]: [ 185 / 223 ] simplifiying candidate # 83.339 * [simplify]: Simplifying (/ (cbrt 1/2) (sqrt (hypot 1 x))) 83.339 * * [simplify]: iters left: 4 (7 enodes) 83.345 * * [simplify]: iters left: 3 (23 enodes) 83.353 * * [simplify]: iters left: 2 (25 enodes) 83.361 * * [simplify]: Extracting #0: cost 1 inf + 0 83.362 * * [simplify]: Extracting #1: cost 4 inf + 0 83.362 * * [simplify]: Extracting #2: cost 8 inf + 0 83.362 * * [simplify]: Extracting #3: cost 10 inf + 1 83.362 * * [simplify]: Extracting #4: cost 6 inf + 165 83.362 * * [simplify]: Extracting #5: cost 2 inf + 594 83.362 * * [simplify]: Extracting #6: cost 0 inf + 909 83.363 * [simplify]: Simplified to (/ (cbrt 1/2) (sqrt (hypot 1 x))) 83.363 * [simplify]: Simplified (2 2 2 2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (* (/ 1/2 (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x)))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 83.363 * * * * [progress]: [ 186 / 223 ] simplifiying candidate # 83.364 * [simplify]: Simplifying (/ (cbrt 1/2) (hypot 1 x)) 83.364 * * [simplify]: iters left: 3 (6 enodes) 83.368 * * [simplify]: iters left: 2 (20 enodes) 83.375 * * [simplify]: iters left: 1 (22 enodes) 83.382 * * [simplify]: Extracting #0: cost 1 inf + 0 83.382 * * [simplify]: Extracting #1: cost 4 inf + 0 83.382 * * [simplify]: Extracting #2: cost 9 inf + 0 83.382 * * [simplify]: Extracting #3: cost 6 inf + 3 83.382 * * [simplify]: Extracting #4: cost 1 inf + 457 83.382 * * [simplify]: Extracting #5: cost 0 inf + 635 83.383 * [simplify]: Simplified to (/ (cbrt 1/2) (hypot 1 x)) 83.383 * [simplify]: Simplified (2 2 2 2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (* (/ 1/2 (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) 1)) (/ (cbrt 1/2) (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 83.383 * * * * [progress]: [ 187 / 223 ] simplifiying candidate # 83.383 * [simplify]: Simplifying (/ (sqrt 1/2) (cbrt (hypot 1 x))) 83.384 * * [simplify]: iters left: 4 (7 enodes) 83.388 * * [simplify]: iters left: 3 (23 enodes) 83.396 * * [simplify]: iters left: 2 (25 enodes) 83.403 * * [simplify]: Extracting #0: cost 1 inf + 0 83.403 * * [simplify]: Extracting #1: cost 4 inf + 0 83.403 * * [simplify]: Extracting #2: cost 8 inf + 0 83.403 * * [simplify]: Extracting #3: cost 10 inf + 1 83.404 * * [simplify]: Extracting #4: cost 6 inf + 85 83.404 * * [simplify]: Extracting #5: cost 2 inf + 554 83.404 * * [simplify]: Extracting #6: cost 0 inf + 909 83.404 * [simplify]: Simplified to (/ (sqrt 1/2) (cbrt (hypot 1 x))) 83.404 * [simplify]: Simplified (2 2 2 2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (* (/ 1/2 (hypot 1 x)) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 83.405 * * * * [progress]: [ 188 / 223 ] simplifiying candidate # 83.405 * [simplify]: Simplifying (/ (sqrt 1/2) (sqrt (hypot 1 x))) 83.405 * * [simplify]: iters left: 4 (7 enodes) 83.409 * * [simplify]: iters left: 3 (23 enodes) 83.416 * * [simplify]: iters left: 2 (25 enodes) 83.420 * * [simplify]: Extracting #0: cost 1 inf + 0 83.420 * * [simplify]: Extracting #1: cost 4 inf + 0 83.420 * * [simplify]: Extracting #2: cost 8 inf + 0 83.420 * * [simplify]: Extracting #3: cost 10 inf + 1 83.420 * * [simplify]: Extracting #4: cost 6 inf + 85 83.420 * * [simplify]: Extracting #5: cost 2 inf + 474 83.421 * * [simplify]: Extracting #6: cost 0 inf + 749 83.421 * [simplify]: Simplified to (/ (sqrt 1/2) (sqrt (hypot 1 x))) 83.421 * [simplify]: Simplified (2 2 2 2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (* (/ 1/2 (hypot 1 x)) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 83.421 * * * * [progress]: [ 189 / 223 ] simplifiying candidate # 83.421 * [simplify]: Simplifying (/ (sqrt 1/2) (hypot 1 x)) 83.421 * * [simplify]: iters left: 3 (6 enodes) 83.423 * * [simplify]: iters left: 2 (20 enodes) 83.426 * * [simplify]: iters left: 1 (22 enodes) 83.430 * * [simplify]: Extracting #0: cost 1 inf + 0 83.430 * * [simplify]: Extracting #1: cost 4 inf + 0 83.430 * * [simplify]: Extracting #2: cost 9 inf + 0 83.430 * * [simplify]: Extracting #3: cost 6 inf + 3 83.430 * * [simplify]: Extracting #4: cost 1 inf + 337 83.430 * * [simplify]: Extracting #5: cost 0 inf + 475 83.430 * [simplify]: Simplified to (/ (sqrt 1/2) (hypot 1 x)) 83.430 * [simplify]: Simplified (2 2 2 2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (* (/ 1/2 (hypot 1 x)) (/ (sqrt 1/2) 1)) (/ (sqrt 1/2) (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 83.430 * * * * [progress]: [ 190 / 223 ] simplifiying candidate # 83.430 * [simplify]: Simplifying (/ 1/2 (cbrt (hypot 1 x))) 83.431 * * [simplify]: iters left: 4 (6 enodes) 83.432 * * [simplify]: iters left: 3 (20 enodes) 83.435 * * [simplify]: iters left: 2 (22 enodes) 83.439 * * [simplify]: Extracting #0: cost 1 inf + 0 83.439 * * [simplify]: Extracting #1: cost 4 inf + 0 83.439 * * [simplify]: Extracting #2: cost 5 inf + 1 83.439 * * [simplify]: Extracting #3: cost 8 inf + 1 83.439 * * [simplify]: Extracting #4: cost 6 inf + 3 83.439 * * [simplify]: Extracting #5: cost 1 inf + 569 83.439 * * [simplify]: Extracting #6: cost 0 inf + 747 83.439 * [simplify]: Simplified to (/ 1/2 (cbrt (hypot 1 x))) 83.439 * [simplify]: Simplified (2 2 2 2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (* (/ 1/2 (hypot 1 x)) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (cbrt (hypot 1 x)))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 83.439 * * * * [progress]: [ 191 / 223 ] simplifiying candidate # 83.440 * [simplify]: Simplifying (/ 1/2 (sqrt (hypot 1 x))) 83.440 * * [simplify]: iters left: 4 (6 enodes) 83.441 * * [simplify]: iters left: 3 (20 enodes) 83.446 * * [simplify]: iters left: 2 (22 enodes) 83.453 * * [simplify]: Extracting #0: cost 1 inf + 0 83.453 * * [simplify]: Extracting #1: cost 4 inf + 0 83.453 * * [simplify]: Extracting #2: cost 5 inf + 1 83.453 * * [simplify]: Extracting #3: cost 8 inf + 1 83.453 * * [simplify]: Extracting #4: cost 6 inf + 3 83.453 * * [simplify]: Extracting #5: cost 1 inf + 449 83.453 * * [simplify]: Extracting #6: cost 0 inf + 587 83.454 * [simplify]: Simplified to (/ 1/2 (sqrt (hypot 1 x))) 83.454 * [simplify]: Simplified (2 2 2 2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (* (/ 1/2 (hypot 1 x)) (/ 1 (sqrt (hypot 1 x)))) (/ 1/2 (sqrt (hypot 1 x)))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 83.454 * * * * [progress]: [ 192 / 223 ] simplifiying candidate # 83.454 * [simplify]: Simplifying (/ 1/2 (hypot 1 x)) 83.455 * * [simplify]: iters left: 3 (5 enodes) 83.457 * * [simplify]: iters left: 2 (17 enodes) 83.463 * * [simplify]: iters left: 1 (19 enodes) 83.469 * * [simplify]: Extracting #0: cost 1 inf + 0 83.469 * * [simplify]: Extracting #1: cost 4 inf + 0 83.469 * * [simplify]: Extracting #2: cost 6 inf + 1 83.469 * * [simplify]: Extracting #3: cost 0 inf + 313 83.469 * [simplify]: Simplified to (/ 1/2 (hypot 1 x)) 83.469 * [simplify]: Simplified (2 2 2 2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (* (/ 1/2 (hypot 1 x)) (/ 1 1)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 83.470 * * * * [progress]: [ 193 / 223 ] simplifiying candidate # 83.470 * [simplify]: Simplifying (/ 1/2 (hypot 1 x)) 83.470 * * [simplify]: iters left: 3 (5 enodes) 83.475 * * [simplify]: iters left: 2 (17 enodes) 83.482 * * [simplify]: iters left: 1 (19 enodes) 83.488 * * [simplify]: Extracting #0: cost 1 inf + 0 83.488 * * [simplify]: Extracting #1: cost 4 inf + 0 83.488 * * [simplify]: Extracting #2: cost 6 inf + 1 83.488 * * [simplify]: Extracting #3: cost 0 inf + 313 83.488 * [simplify]: Simplified to (/ 1/2 (hypot 1 x)) 83.488 * [simplify]: Simplified (2 2 2 2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (* (/ 1/2 (hypot 1 x)) 1) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 83.488 * * * * [progress]: [ 194 / 223 ] simplifiying candidate # 83.489 * [simplify]: Simplifying (/ 1 (hypot 1 x)) 83.489 * * [simplify]: iters left: 3 (4 enodes) 83.491 * * [simplify]: iters left: 2 (14 enodes) 83.495 * * [simplify]: iters left: 1 (16 enodes) 83.500 * * [simplify]: Extracting #0: cost 1 inf + 0 83.500 * * [simplify]: Extracting #1: cost 4 inf + 0 83.500 * * [simplify]: Extracting #2: cost 5 inf + 1 83.500 * * [simplify]: Extracting #3: cost 3 inf + 59 83.500 * * [simplify]: Extracting #4: cost 1 inf + 213 83.500 * * [simplify]: Extracting #5: cost 0 inf + 310 83.500 * [simplify]: Simplified to (/ 1 (hypot 1 x)) 83.500 * [simplify]: Simplified (2 2 2 2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (* (/ 1/2 (hypot 1 x)) 1/2) (/ 1 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 83.500 * * * * [progress]: [ 195 / 223 ] simplifiying candidate # 83.501 * [simplify]: Simplifying (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 83.501 * * [simplify]: iters left: 6 (7 enodes) 83.503 * * [simplify]: iters left: 5 (23 enodes) 83.507 * * [simplify]: iters left: 4 (25 enodes) 83.511 * * [simplify]: Extracting #0: cost 1 inf + 0 83.511 * * [simplify]: Extracting #1: cost 3 inf + 0 83.511 * * [simplify]: Extracting #2: cost 5 inf + 0 83.511 * * [simplify]: Extracting #3: cost 8 inf + 0 83.511 * * [simplify]: Extracting #4: cost 10 inf + 1 83.511 * * [simplify]: Extracting #5: cost 6 inf + 117 83.511 * * [simplify]: Extracting #6: cost 2 inf + 709 83.511 * * [simplify]: Extracting #7: cost 0 inf + 1105 83.511 * [simplify]: Simplified to (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 83.511 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 83.512 * * * * [progress]: [ 196 / 223 ] simplifiying candidate # 83.512 * [simplify]: Simplifying (sqrt (/ 1/2 (hypot 1 x))) 83.512 * * [simplify]: iters left: 4 (6 enodes) 83.514 * * [simplify]: iters left: 3 (20 enodes) 83.518 * * [simplify]: iters left: 2 (22 enodes) 83.521 * * [simplify]: Extracting #0: cost 1 inf + 0 83.521 * * [simplify]: Extracting #1: cost 3 inf + 0 83.521 * * [simplify]: Extracting #2: cost 6 inf + 0 83.521 * * [simplify]: Extracting #3: cost 8 inf + 1 83.521 * * [simplify]: Extracting #4: cost 6 inf + 3 83.521 * * [simplify]: Extracting #5: cost 1 inf + 451 83.521 * * [simplify]: Extracting #6: cost 0 inf + 589 83.522 * [simplify]: Simplified to (sqrt (/ 1/2 (hypot 1 x))) 83.522 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (sqrt (/ 1/2 (hypot 1 x))) (* (sqrt (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 83.522 * * * * [progress]: [ 197 / 223 ] simplifiying candidate # 83.522 * [simplify]: Simplifying (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 83.522 * * [simplify]: iters left: 6 (9 enodes) 83.525 * * [simplify]: iters left: 5 (35 enodes) 83.534 * * [simplify]: iters left: 4 (52 enodes) 83.544 * * [simplify]: iters left: 3 (59 enodes) 83.552 * * [simplify]: iters left: 2 (62 enodes) 83.560 * * [simplify]: Extracting #0: cost 1 inf + 0 83.561 * * [simplify]: Extracting #1: cost 11 inf + 0 83.561 * * [simplify]: Extracting #2: cost 22 inf + 0 83.561 * * [simplify]: Extracting #3: cost 24 inf + 1 83.561 * * [simplify]: Extracting #4: cost 20 inf + 141 83.561 * * [simplify]: Extracting #5: cost 4 inf + 3413 83.562 * * [simplify]: Extracting #6: cost 0 inf + 4565 83.562 * [simplify]: Simplified to (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) 83.562 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ 1/2 (hypot 1 x)))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 83.562 * * * * [progress]: [ 198 / 223 ] simplifiying candidate # 83.563 * [simplify]: Simplifying (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 83.563 * * [simplify]: iters left: 5 (8 enodes) 83.565 * * [simplify]: iters left: 4 (28 enodes) 83.570 * * [simplify]: iters left: 3 (34 enodes) 83.581 * * [simplify]: iters left: 2 (37 enodes) 83.592 * * [simplify]: Extracting #0: cost 1 inf + 0 83.592 * * [simplify]: Extracting #1: cost 7 inf + 0 83.592 * * [simplify]: Extracting #2: cost 14 inf + 0 83.592 * * [simplify]: Extracting #3: cost 16 inf + 1 83.592 * * [simplify]: Extracting #4: cost 12 inf + 141 83.592 * * [simplify]: Extracting #5: cost 1 inf + 1885 83.592 * * [simplify]: Extracting #6: cost 0 inf + 2103 83.593 * [simplify]: Simplified to (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2))) 83.593 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2))) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ 1/2 (hypot 1 x)))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 83.593 * * * * [progress]: [ 199 / 223 ] simplifiying candidate # 83.593 * [simplify]: Simplifying (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 83.593 * * [simplify]: iters left: 5 (5 enodes) 83.595 * * [simplify]: iters left: 4 (17 enodes) 83.598 * * [simplify]: iters left: 3 (27 enodes) 83.603 * * [simplify]: iters left: 2 (28 enodes) 83.607 * * [simplify]: Extracting #0: cost 1 inf + 0 83.607 * * [simplify]: Extracting #1: cost 5 inf + 0 83.607 * * [simplify]: Extracting #2: cost 7 inf + 1 83.607 * * [simplify]: Extracting #3: cost 6 inf + 2 83.607 * * [simplify]: Extracting #4: cost 1 inf + 528 83.607 * * [simplify]: Extracting #5: cost 0 inf + 650 83.607 * [simplify]: Simplified to (* (cbrt 1/2) (cbrt 1/2)) 83.607 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (* (cbrt 1/2) (cbrt 1/2)) (* (/ (cbrt 1/2) (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 83.608 * * * * [progress]: [ 200 / 223 ] simplifiying candidate # 83.608 * [simplify]: Simplifying (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 83.608 * * [simplify]: iters left: 6 (8 enodes) 83.610 * * [simplify]: iters left: 5 (28 enodes) 83.615 * * [simplify]: iters left: 4 (32 enodes) 83.620 * * [simplify]: Extracting #0: cost 1 inf + 0 83.620 * * [simplify]: Extracting #1: cost 6 inf + 0 83.620 * * [simplify]: Extracting #2: cost 12 inf + 0 83.620 * * [simplify]: Extracting #3: cost 14 inf + 1 83.620 * * [simplify]: Extracting #4: cost 11 inf + 44 83.620 * * [simplify]: Extracting #5: cost 7 inf + 336 83.621 * * [simplify]: Extracting #6: cost 0 inf + 1779 83.621 * [simplify]: Simplified to (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) 83.621 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ 1/2 (hypot 1 x)))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 83.622 * * * * [progress]: [ 201 / 223 ] simplifiying candidate # 83.622 * [simplify]: Simplifying (/ (sqrt 1/2) (sqrt (hypot 1 x))) 83.622 * * [simplify]: iters left: 4 (7 enodes) 83.626 * * [simplify]: iters left: 3 (23 enodes) 83.634 * * [simplify]: iters left: 2 (25 enodes) 83.642 * * [simplify]: Extracting #0: cost 1 inf + 0 83.642 * * [simplify]: Extracting #1: cost 4 inf + 0 83.642 * * [simplify]: Extracting #2: cost 8 inf + 0 83.642 * * [simplify]: Extracting #3: cost 10 inf + 1 83.642 * * [simplify]: Extracting #4: cost 6 inf + 85 83.642 * * [simplify]: Extracting #5: cost 2 inf + 474 83.642 * * [simplify]: Extracting #6: cost 0 inf + 749 83.643 * [simplify]: Simplified to (/ (sqrt 1/2) (sqrt (hypot 1 x))) 83.643 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ 1/2 (hypot 1 x)))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 83.643 * * * * [progress]: [ 202 / 223 ] simplifiying candidate # 83.644 * [simplify]: Simplifying (/ (sqrt 1/2) 1) 83.644 * * [simplify]: iters left: 3 (4 enodes) 83.647 * * [simplify]: iters left: 2 (12 enodes) 83.651 * * [simplify]: iters left: 1 (14 enodes) 83.656 * * [simplify]: Extracting #0: cost 1 inf + 0 83.656 * * [simplify]: Extracting #1: cost 4 inf + 0 83.656 * * [simplify]: Extracting #2: cost 0 inf + 84 83.657 * [simplify]: Simplified to (sqrt 1/2) 83.657 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (sqrt 1/2) (* (/ (sqrt 1/2) (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 83.657 * * * * [progress]: [ 203 / 223 ] simplifiying candidate # 83.657 * [simplify]: Simplifying (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 83.657 * * [simplify]: iters left: 6 (6 enodes) 83.661 * * [simplify]: iters left: 5 (22 enodes) 83.667 * * [simplify]: iters left: 4 (26 enodes) 83.675 * * [simplify]: Extracting #0: cost 1 inf + 0 83.675 * * [simplify]: Extracting #1: cost 6 inf + 0 83.675 * * [simplify]: Extracting #2: cost 9 inf + 1 83.675 * * [simplify]: Extracting #3: cost 11 inf + 1 83.676 * * [simplify]: Extracting #4: cost 8 inf + 116 83.676 * * [simplify]: Extracting #5: cost 2 inf + 1138 83.676 * * [simplify]: Extracting #6: cost 0 inf + 1532 83.677 * [simplify]: Simplified to (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 83.677 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1/2 (hypot 1 x)))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 83.677 * * * * [progress]: [ 204 / 223 ] simplifiying candidate # 83.677 * [simplify]: Simplifying (/ 1 (sqrt (hypot 1 x))) 83.677 * * [simplify]: iters left: 4 (5 enodes) 83.680 * * [simplify]: iters left: 3 (17 enodes) 83.686 * * [simplify]: iters left: 2 (19 enodes) 83.692 * * [simplify]: Extracting #0: cost 1 inf + 0 83.692 * * [simplify]: Extracting #1: cost 4 inf + 0 83.692 * * [simplify]: Extracting #2: cost 5 inf + 1 83.692 * * [simplify]: Extracting #3: cost 7 inf + 1 83.692 * * [simplify]: Extracting #4: cost 0 inf + 584 83.692 * [simplify]: Simplified to (/ 1 (sqrt (hypot 1 x))) 83.692 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* (/ 1 (sqrt (hypot 1 x))) (* (/ 1/2 (sqrt (hypot 1 x))) (/ 1/2 (hypot 1 x)))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 83.693 * * * * [progress]: [ 205 / 223 ] simplifiying candidate # 83.693 * [simplify]: Simplifying (/ 1 1) 83.693 * * [simplify]: iters left: 2 (2 enodes) 83.695 * * [simplify]: iters left: 1 (6 enodes) 83.697 * * [simplify]: Extracting #0: cost 1 inf + 0 83.697 * * [simplify]: Extracting #1: cost 0 inf + 1 83.697 * [simplify]: Simplified to 1 83.697 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (* 1 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 83.697 * * * * [progress]: [ 206 / 223 ] simplifiying candidate # 83.697 * * * * [progress]: [ 207 / 223 ] simplifiying candidate # 83.697 * * * * [progress]: [ 208 / 223 ] simplifiying candidate # 83.698 * [simplify]: Simplifying (hypot 1 x) 83.698 * * [simplify]: iters left: 1 (3 enodes) 83.700 * * [simplify]: Extracting #0: cost 1 inf + 0 83.700 * * [simplify]: Extracting #1: cost 4 inf + 0 83.700 * * [simplify]: Extracting #2: cost 2 inf + 2 83.700 * * [simplify]: Extracting #3: cost 0 inf + 116 83.700 * [simplify]: Simplified to (hypot 1 x) 83.700 * [simplify]: Simplified (2 2 2 2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 83.700 * * * * [progress]: [ 209 / 223 ] simplifiying candidate # 83.701 * [simplify]: Simplifying (* 1/2 (/ 1/2 (hypot 1 x))) 83.701 * * [simplify]: iters left: 5 (6 enodes) 83.707 * * [simplify]: iters left: 4 (24 enodes) 83.715 * * [simplify]: iters left: 3 (28 enodes) 83.722 * * [simplify]: Extracting #0: cost 1 inf + 0 83.722 * * [simplify]: Extracting #1: cost 6 inf + 0 83.722 * * [simplify]: Extracting #2: cost 8 inf + 2 83.722 * * [simplify]: Extracting #3: cost 6 inf + 4 83.722 * * [simplify]: Extracting #4: cost 1 inf + 412 83.722 * * [simplify]: Extracting #5: cost 0 inf + 510 83.722 * [simplify]: Simplified to (/ 1/4 (hypot 1 x)) 83.723 * [simplify]: Simplified (2 2 2 2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 83.723 * * * * [progress]: [ 210 / 223 ] simplifiying candidate #real (real->posit16 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (* 1/2 (/ 1/2 (hypot 1 x)))))))))> 83.723 * * * * [progress]: [ 211 / 223 ] simplifiying candidate # 83.723 * * * * [progress]: [ 212 / 223 ] simplifiying candidate # 83.723 * [simplify]: Simplifying (- (+ (* 1/64 (/ (pow x 2) (sqrt 1/2))) (sqrt 1/2)) (+ (* 5/512 (/ (pow x 4) (sqrt 1/2))) (* 1/8192 (/ (pow x 4) (pow (sqrt 1/2) 3))))) 83.723 * * [simplify]: iters left: 6 (21 enodes) 83.732 * * [simplify]: iters left: 5 (97 enodes) 83.751 * * [simplify]: iters left: 4 (193 enodes) 83.799 * * [simplify]: iters left: 3 (449 enodes) 84.007 * * [simplify]: Extracting #0: cost 1 inf + 0 84.007 * * [simplify]: Extracting #1: cost 48 inf + 0 84.008 * * [simplify]: Extracting #2: cost 232 inf + 5 84.014 * * [simplify]: Extracting #3: cost 263 inf + 9841 84.029 * * [simplify]: Extracting #4: cost 122 inf + 37079 84.044 * * [simplify]: Extracting #5: cost 18 inf + 75887 84.060 * * [simplify]: Extracting #6: cost 0 inf + 86200 84.076 * * [simplify]: Extracting #7: cost 0 inf + 86120 84.096 * [simplify]: Simplified to (- (fma (/ (* x x) (sqrt 1/2)) 1/64 (sqrt 1/2)) (* (* (* x x) (/ (* x x) (sqrt 1/2))) 41/4096)) 84.096 * [simplify]: Simplified (2 1) to (λ (x) (* (- (fma (/ (* x x) (sqrt 1/2)) 1/64 (sqrt 1/2)) (* (* (* x x) (/ (* x x) (sqrt 1/2))) 41/4096)) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 84.096 * * * * [progress]: [ 213 / 223 ] simplifiying candidate # 84.096 * [simplify]: Simplifying (- (+ (* 3/128 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 5))))) (+ (* 1/64 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) (* 1/8 (* (/ 1 (* x (sqrt 1/2))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3)))))) 84.097 * * [simplify]: iters left: 6 (37 enodes) 84.108 * * [simplify]: iters left: 5 (171 enodes) 84.176 * * [simplify]: iters left: 4 (398 enodes) 84.355 * * [simplify]: Extracting #0: cost 1 inf + 0 84.355 * * [simplify]: Extracting #1: cost 40 inf + 0 84.355 * * [simplify]: Extracting #2: cost 172 inf + 3 84.357 * * [simplify]: Extracting #3: cost 270 inf + 626 84.359 * * [simplify]: Extracting #4: cost 231 inf + 8544 84.364 * * [simplify]: Extracting #5: cost 166 inf + 24893 84.392 * * [simplify]: Extracting #6: cost 43 inf + 76629 84.445 * * [simplify]: Extracting #7: cost 4 inf + 94383 84.495 * * [simplify]: Extracting #8: cost 0 inf + 96425 84.542 * [simplify]: Simplified to (fma (/ -1/8 (* (sqrt 1/2) x)) (sqrt (/ (/ (/ 1 (+ 1 (sqrt 1/2))) (+ 1 (sqrt 1/2))) (+ 1 (sqrt 1/2)))) (+ (fma (sqrt (/ (/ (/ 1 (+ 1 (sqrt 1/2))) (+ 1 (sqrt 1/2))) (+ 1 (sqrt 1/2)))) (/ (/ (/ 1/64 (* x x)) (sqrt 1/2)) 1/2) (* 3/64 (/ (sqrt (/ 1 (pow (+ 1 (sqrt 1/2)) 5))) (* x x)))) (sqrt (/ 1 (+ 1 (sqrt 1/2)))))) 84.542 * [simplify]: Simplified (2 1) to (λ (x) (* (fma (/ -1/8 (* (sqrt 1/2) x)) (sqrt (/ (/ (/ 1 (+ 1 (sqrt 1/2))) (+ 1 (sqrt 1/2))) (+ 1 (sqrt 1/2)))) (+ (fma (sqrt (/ (/ (/ 1 (+ 1 (sqrt 1/2))) (+ 1 (sqrt 1/2))) (+ 1 (sqrt 1/2)))) (/ (/ (/ 1/64 (* x x)) (sqrt 1/2)) 1/2) (* 3/64 (/ (sqrt (/ 1 (pow (+ 1 (sqrt 1/2)) 5))) (* x x)))) (sqrt (/ 1 (+ 1 (sqrt 1/2)))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 84.542 * * * * [progress]: [ 214 / 223 ] simplifiying candidate # 84.543 * [simplify]: Simplifying (+ (* 3/128 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 5))))) (+ (* 1/64 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))))) (+ (sqrt (/ 1 (+ (sqrt 1/2) 1))) (* 1/8 (* (/ 1 (* x (sqrt 1/2))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3)))))))) 84.543 * * [simplify]: iters left: 6 (37 enodes) 84.555 * * [simplify]: iters left: 5 (170 enodes) 84.612 * * [simplify]: iters left: 4 (386 enodes) 84.804 * * [simplify]: Extracting #0: cost 1 inf + 0 84.805 * * [simplify]: Extracting #1: cost 28 inf + 0 84.806 * * [simplify]: Extracting #2: cost 169 inf + 2 84.808 * * [simplify]: Extracting #3: cost 245 inf + 833 84.812 * * [simplify]: Extracting #4: cost 209 inf + 8991 84.822 * * [simplify]: Extracting #5: cost 114 inf + 40925 84.839 * * [simplify]: Extracting #6: cost 41 inf + 67651 84.882 * * [simplify]: Extracting #7: cost 3 inf + 86913 84.930 * * [simplify]: Extracting #8: cost 0 inf + 88806 84.969 * * [simplify]: Extracting #9: cost 0 inf + 88725 84.998 * [simplify]: Simplified to (fma (sqrt (/ (/ 1 (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2)))) (+ 1 (sqrt 1/2)))) (/ (/ (/ 1/64 (* x x)) 1/2) (sqrt 1/2)) (+ (* 3/64 (/ (sqrt (/ 1 (pow (+ 1 (sqrt 1/2)) 5))) (* x x))) (fma (/ 1/8 (* (sqrt 1/2) x)) (sqrt (/ (/ 1 (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2)))) (+ 1 (sqrt 1/2)))) (sqrt (/ 1 (+ 1 (sqrt 1/2))))))) 84.999 * [simplify]: Simplified (2 1) to (λ (x) (* (fma (sqrt (/ (/ 1 (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2)))) (+ 1 (sqrt 1/2)))) (/ (/ (/ 1/64 (* x x)) 1/2) (sqrt 1/2)) (+ (* 3/64 (/ (sqrt (/ 1 (pow (+ 1 (sqrt 1/2)) 5))) (* x x))) (fma (/ 1/8 (* (sqrt 1/2) x)) (sqrt (/ (/ 1 (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2)))) (+ 1 (sqrt 1/2)))) (sqrt (/ 1 (+ 1 (sqrt 1/2))))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 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))))))))) 84.999 * * * * [progress]: [ 215 / 223 ] simplifiying candidate # 85.000 * [simplify]: Simplifying (- (+ (* 3/4 (sqrt 2)) (+ (* 11/32 (* (sqrt 2) (pow x 4))) (* 57/1024 (/ (pow x 4) (sqrt 2))))) (+ (* 3/2048 (/ (pow x 4) (pow (sqrt 2) 3))) (+ (* 3/64 (/ (pow x 2) (sqrt 2))) (* 3/8 (* (sqrt 2) (pow x 2)))))) 85.000 * * [simplify]: iters left: 6 (30 enodes) 85.020 * * [simplify]: iters left: 5 (141 enodes) 85.053 * * [simplify]: iters left: 4 (304 enodes) 85.174 * * [simplify]: Extracting #0: cost 1 inf + 0 85.174 * * [simplify]: Extracting #1: cost 52 inf + 0 85.174 * * [simplify]: Extracting #2: cost 198 inf + 1 85.175 * * [simplify]: Extracting #3: cost 243 inf + 1534 85.180 * * [simplify]: Extracting #4: cost 121 inf + 26824 85.195 * * [simplify]: Extracting #5: cost 14 inf + 65478 85.219 * * [simplify]: Extracting #6: cost 0 inf + 71431 85.252 * * [simplify]: Extracting #7: cost 0 inf + 71391 85.270 * [simplify]: Simplified to (- (fma 57/1024 (/ (* (* x x) (* x x)) (sqrt 2)) (* (sqrt 2) (+ (* (* (* x x) (* x x)) 11/32) 3/4))) (fma (* (sqrt 2) 3/8) (* x x) (fma 3/4096 (/ (* (* x x) (* x x)) (sqrt 2)) (* (/ (* x x) (sqrt 2)) 3/64)))) 85.270 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (- (fma 57/1024 (/ (* (* x x) (* x x)) (sqrt 2)) (* (sqrt 2) (+ (* (* (* x x) (* x x)) 11/32) 3/4))) (fma (* (sqrt 2) 3/8) (* x x) (fma 3/4096 (/ (* (* x x) (* x x)) (sqrt 2)) (* (/ (* x x) (sqrt 2)) 3/64))))))) 85.271 * * * * [progress]: [ 216 / 223 ] simplifiying candidate # 85.271 * [simplify]: Simplifying (- (+ (* 1/4 (* (/ 1 (pow x 2)) (sqrt (+ (sqrt 1/2) 1)))) (+ (* 1/4 (* (/ 1 x) (sqrt (+ (sqrt 1/2) 1)))) (+ (* 1/32 (* (/ 1 (* x (sqrt 1/2))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) (+ (* 1/32 (* (/ 1 (* (pow x 2) (sqrt 1/2))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) (* 1/4 (sqrt (+ (sqrt 1/2) 1))))))) (+ (* 1/512 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))))) (* 1/256 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))))) 85.271 * * [simplify]: iters left: 6 (49 enodes) 85.297 * * [simplify]: iters left: 5 (232 enodes) 85.390 * * [simplify]: Extracting #0: cost 1 inf + 0 85.390 * * [simplify]: Extracting #1: cost 22 inf + 0 85.390 * * [simplify]: Extracting #2: cost 92 inf + 1 85.391 * * [simplify]: Extracting #3: cost 165 inf + 4 85.391 * * [simplify]: Extracting #4: cost 179 inf + 1274 85.393 * * [simplify]: Extracting #5: cost 139 inf + 8332 85.397 * * [simplify]: Extracting #6: cost 88 inf + 18799 85.408 * * [simplify]: Extracting #7: cost 21 inf + 49374 85.435 * * [simplify]: Extracting #8: cost 3 inf + 62033 85.466 * * [simplify]: Extracting #9: cost 0 inf + 64873 85.486 * [simplify]: Simplified to (- (fma 1/4 (/ (sqrt (+ (sqrt 1/2) 1)) (* x x)) (fma (/ (sqrt (+ (sqrt 1/2) 1)) x) 1/4 (fma 1/32 (/ (sqrt (/ 1 (+ (sqrt 1/2) 1))) (* (sqrt 1/2) x)) (fma (/ (sqrt (/ 1 (+ (sqrt 1/2) 1))) (* (sqrt 1/2) (* x x))) 1/32 (* (sqrt (+ (sqrt 1/2) 1)) 1/4))))) (fma (* 1/512 (/ 2 (* x x))) (sqrt (/ (/ 1 (* (+ (sqrt 1/2) 1) (+ (sqrt 1/2) 1))) (+ (sqrt 1/2) 1))) (* (/ 1/256 (* (* (sqrt 1/2) 1/2) (* x x))) (sqrt (/ 1 (+ (sqrt 1/2) 1)))))) 85.486 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (- (fma 1/4 (/ (sqrt (+ (sqrt 1/2) 1)) (* x x)) (fma (/ (sqrt (+ (sqrt 1/2) 1)) x) 1/4 (fma 1/32 (/ (sqrt (/ 1 (+ (sqrt 1/2) 1))) (* (sqrt 1/2) x)) (fma (/ (sqrt (/ 1 (+ (sqrt 1/2) 1))) (* (sqrt 1/2) (* x x))) 1/32 (* (sqrt (+ (sqrt 1/2) 1)) 1/4))))) (fma (* 1/512 (/ 2 (* x x))) (sqrt (/ (/ 1 (* (+ (sqrt 1/2) 1) (+ (sqrt 1/2) 1))) (+ (sqrt 1/2) 1))) (* (/ 1/256 (* (* (sqrt 1/2) 1/2) (* x x))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))))))) 85.486 * * * * [progress]: [ 217 / 223 ] simplifiying candidate # 85.487 * [simplify]: Simplifying (- (+ (* 1/4 (* (/ 1 (pow x 2)) (sqrt (+ (sqrt 1/2) 1)))) (+ (* 1/32 (* (/ 1 (* (pow x 2) (sqrt 1/2))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) (* 1/4 (sqrt (+ (sqrt 1/2) 1))))) (+ (* 1/512 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (pow (+ (sqrt 1/2) 1) 3))))) (+ (* 1/256 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) (+ (* 1/4 (* (/ 1 x) (sqrt (+ (sqrt 1/2) 1)))) (* 1/32 (* (/ 1 (* x (sqrt 1/2))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))))))) 85.487 * * [simplify]: iters left: 6 (49 enodes) 85.502 * * [simplify]: iters left: 5 (232 enodes) 85.574 * * [simplify]: Extracting #0: cost 1 inf + 0 85.574 * * [simplify]: Extracting #1: cost 29 inf + 0 85.575 * * [simplify]: Extracting #2: cost 106 inf + 1 85.576 * * [simplify]: Extracting #3: cost 174 inf + 5 85.577 * * [simplify]: Extracting #4: cost 174 inf + 954 85.581 * * [simplify]: Extracting #5: cost 133 inf + 8138 85.589 * * [simplify]: Extracting #6: cost 74 inf + 23609 85.602 * * [simplify]: Extracting #7: cost 21 inf + 49972 85.621 * * [simplify]: Extracting #8: cost 2 inf + 66237 85.643 * * [simplify]: Extracting #9: cost 0 inf + 68281 85.662 * [simplify]: Simplified to (fma (/ 1/4 (* x x)) (sqrt (+ (sqrt 1/2) 1)) (- (fma (/ 1/32 (* (* (sqrt 1/2) x) x)) (sqrt (/ 1 (+ (sqrt 1/2) 1))) (* (sqrt (+ (sqrt 1/2) 1)) 1/4)) (fma (/ (sqrt (/ 1 (* (+ (sqrt 1/2) 1) (* (+ (sqrt 1/2) 1) (+ (sqrt 1/2) 1))))) (* 1/2 (* x x))) 1/512 (fma (/ 1/256 (* (* (sqrt 1/2) 1/2) (* x x))) (sqrt (/ 1 (+ (sqrt 1/2) 1))) (fma (/ 1/32 (* (sqrt 1/2) x)) (sqrt (/ 1 (+ (sqrt 1/2) 1))) (* 1/4 (/ (sqrt (+ (sqrt 1/2) 1)) x))))))) 85.662 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (fma (/ 1/4 (* x x)) (sqrt (+ (sqrt 1/2) 1)) (- (fma (/ 1/32 (* (* (sqrt 1/2) x) x)) (sqrt (/ 1 (+ (sqrt 1/2) 1))) (* (sqrt (+ (sqrt 1/2) 1)) 1/4)) (fma (/ (sqrt (/ 1 (* (+ (sqrt 1/2) 1) (* (+ (sqrt 1/2) 1) (+ (sqrt 1/2) 1))))) (* 1/2 (* x x))) 1/512 (fma (/ 1/256 (* (* (sqrt 1/2) 1/2) (* x x))) (sqrt (/ 1 (+ (sqrt 1/2) 1))) (fma (/ 1/32 (* (sqrt 1/2) x)) (sqrt (/ 1 (+ (sqrt 1/2) 1))) (* 1/4 (/ (sqrt (+ (sqrt 1/2) 1)) x)))))))))) 85.662 * * * * [progress]: [ 218 / 223 ] simplifiying candidate # 85.662 * [simplify]: Simplifying (- (+ (* 3/16 (pow x 2)) (* 35/128 (pow x 6))) (* 15/64 (pow x 4))) 85.662 * * [simplify]: iters left: 6 (15 enodes) 85.672 * * [simplify]: iters left: 5 (66 enodes) 85.689 * * [simplify]: iters left: 4 (120 enodes) 85.714 * * [simplify]: iters left: 3 (211 enodes) 85.760 * * [simplify]: iters left: 2 (372 enodes) 85.878 * * [simplify]: Extracting #0: cost 1 inf + 0 85.878 * * [simplify]: Extracting #1: cost 35 inf + 0 85.879 * * [simplify]: Extracting #2: cost 123 inf + 5 85.881 * * [simplify]: Extracting #3: cost 106 inf + 3837 85.890 * * [simplify]: Extracting #4: cost 22 inf + 21345 85.905 * * [simplify]: Extracting #5: cost 1 inf + 27276 85.916 * * [simplify]: Extracting #6: cost 0 inf + 27539 85.927 * [simplify]: Simplified to (fma (* x x) (fma 35/128 (* (* x x) (* x x)) 3/16) (* (* (* x x) (* x x)) -15/64)) 85.927 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (fma (* x x) (fma 35/128 (* (* x x) (* x x)) 3/16) (* (* (* x x) (* x x)) -15/64)) (* (sqrt (+ 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))))))))) 85.927 * * * * [progress]: [ 219 / 223 ] simplifiying candidate # 85.928 * [simplify]: Simplifying (- (+ (* 3/16 (/ 1 (pow x 5))) 1/8) (* 1/8 (/ 1 (pow x 3)))) 85.928 * * [simplify]: iters left: 6 (14 enodes) 85.939 * * [simplify]: iters left: 5 (68 enodes) 85.967 * * [simplify]: iters left: 4 (134 enodes) 86.005 * * [simplify]: iters left: 3 (241 enodes) 86.063 * * [simplify]: iters left: 2 (428 enodes) 86.177 * * [simplify]: Extracting #0: cost 1 inf + 0 86.177 * * [simplify]: Extracting #1: cost 19 inf + 0 86.178 * * [simplify]: Extracting #2: cost 93 inf + 3 86.178 * * [simplify]: Extracting #3: cost 192 inf + 49 86.180 * * [simplify]: Extracting #4: cost 162 inf + 7249 86.183 * * [simplify]: Extracting #5: cost 86 inf + 34410 86.189 * * [simplify]: Extracting #6: cost 6 inf + 68751 86.196 * * [simplify]: Extracting #7: cost 0 inf + 71573 86.206 * [simplify]: Simplified to (- (+ 1/8 (/ 3/16 (pow x 5))) (/ (/ (/ 1/8 x) x) x)) 86.206 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- (+ 1/8 (/ 3/16 (pow x 5))) (/ (/ (/ 1/8 x) x) x)) (* (sqrt (+ 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))))))))) 86.206 * * * * [progress]: [ 220 / 223 ] simplifiying candidate # 86.207 * [simplify]: Simplifying (- (+ (* 1/8 (/ 1 (pow x 3))) 1/8) (* 3/16 (/ 1 (pow x 5)))) 86.207 * * [simplify]: iters left: 6 (14 enodes) 86.218 * * [simplify]: iters left: 5 (68 enodes) 86.233 * * [simplify]: iters left: 4 (136 enodes) 86.270 * * [simplify]: iters left: 3 (242 enodes) 86.334 * * [simplify]: iters left: 2 (431 enodes) 86.463 * * [simplify]: Extracting #0: cost 1 inf + 0 86.463 * * [simplify]: Extracting #1: cost 19 inf + 0 86.463 * * [simplify]: Extracting #2: cost 94 inf + 3 86.465 * * [simplify]: Extracting #3: cost 185 inf + 335 86.468 * * [simplify]: Extracting #4: cost 156 inf + 11845 86.476 * * [simplify]: Extracting #5: cost 79 inf + 37129 86.484 * * [simplify]: Extracting #6: cost 7 inf + 63358 86.492 * * [simplify]: Extracting #7: cost 0 inf + 65375 86.500 * [simplify]: Simplified to (- (+ 1/8 (/ (/ (/ 1/8 x) x) x)) (/ 3/16 (pow x 5))) 86.500 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- (+ 1/8 (/ (/ (/ 1/8 x) x) x)) (/ 3/16 (pow x 5))) (* (sqrt (+ 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))))))))) 86.500 * * * * [progress]: [ 221 / 223 ] simplifiying candidate # 86.500 * [simplify]: Simplifying (- (+ (* 1/4 (pow x 4)) 1/4) (* 1/4 (pow x 2))) 86.501 * * [simplify]: iters left: 6 (10 enodes) 86.504 * * [simplify]: iters left: 5 (46 enodes) 86.513 * * [simplify]: iters left: 4 (80 enodes) 86.532 * * [simplify]: iters left: 3 (133 enodes) 86.556 * * [simplify]: iters left: 2 (212 enodes) 86.601 * * [simplify]: iters left: 1 (260 enodes) 86.659 * * [simplify]: Extracting #0: cost 1 inf + 0 86.660 * * [simplify]: Extracting #1: cost 34 inf + 0 86.660 * * [simplify]: Extracting #2: cost 76 inf + 100 86.662 * * [simplify]: Extracting #3: cost 40 inf + 5629 86.667 * * [simplify]: Extracting #4: cost 2 inf + 9849 86.673 * * [simplify]: Extracting #5: cost 0 inf + 9210 86.677 * * [simplify]: Extracting #6: cost 0 inf + 9130 86.680 * [simplify]: Simplified to (fma (- (* (* x x) (* x x)) (* x x)) 1/4 1/4) 86.680 * [simplify]: Simplified (2 2 2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (fma (- (* (* x x) (* x x)) (* x x)) 1/4 1/4) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 86.680 * * * * [progress]: [ 222 / 223 ] simplifiying candidate # 86.681 * [simplify]: Simplifying (- (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))) (* 1/4 (/ 1 (pow x 4)))) 86.681 * * [simplify]: iters left: 6 (17 enodes) 86.688 * * [simplify]: iters left: 5 (79 enodes) 86.706 * * [simplify]: iters left: 4 (143 enodes) 86.733 * * [simplify]: iters left: 3 (233 enodes) 86.784 * * [simplify]: iters left: 2 (367 enodes) 86.888 * * [simplify]: Extracting #0: cost 1 inf + 0 86.888 * * [simplify]: Extracting #1: cost 28 inf + 0 86.889 * * [simplify]: Extracting #2: cost 102 inf + 2 86.890 * * [simplify]: Extracting #3: cost 145 inf + 1024 86.896 * * [simplify]: Extracting #4: cost 73 inf + 12068 86.902 * * [simplify]: Extracting #5: cost 15 inf + 27869 86.909 * * [simplify]: Extracting #6: cost 1 inf + 31816 86.916 * * [simplify]: Extracting #7: cost 0 inf + 32279 86.922 * [simplify]: Simplified to (- (/ 1/4 (* (* (* x x) (* x x)) (* x x))) (+ (/ 1/4 (* (* x x) (* x x))) (/ -1/4 (* x x)))) 86.922 * [simplify]: Simplified (2 2 2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (- (/ 1/4 (* (* (* x x) (* x x)) (* x x))) (+ (/ 1/4 (* (* x x) (* x x))) (/ -1/4 (* x x)))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 86.923 * * * * [progress]: [ 223 / 223 ] simplifiying candidate # 86.923 * [simplify]: Simplifying (- (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))) (* 1/4 (/ 1 (pow x 4)))) 86.923 * * [simplify]: iters left: 6 (17 enodes) 86.929 * * [simplify]: iters left: 5 (79 enodes) 86.948 * * [simplify]: iters left: 4 (143 enodes) 86.973 * * [simplify]: iters left: 3 (233 enodes) 87.056 * * [simplify]: iters left: 2 (367 enodes) 87.162 * * [simplify]: Extracting #0: cost 1 inf + 0 87.162 * * [simplify]: Extracting #1: cost 28 inf + 0 87.163 * * [simplify]: Extracting #2: cost 102 inf + 2 87.164 * * [simplify]: Extracting #3: cost 145 inf + 1024 87.167 * * [simplify]: Extracting #4: cost 73 inf + 12068 87.176 * * [simplify]: Extracting #5: cost 15 inf + 27869 87.185 * * [simplify]: Extracting #6: cost 1 inf + 31816 87.191 * * [simplify]: Extracting #7: cost 0 inf + 32279 87.198 * [simplify]: Simplified to (- (/ 1/4 (* (* (* x x) (* x x)) (* x x))) (+ (/ 1/4 (* (* x x) (* x x))) (/ -1/4 (* x x)))) 87.198 * [simplify]: Simplified (2 2 2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* 1/2 1/2) (+ (- (/ 1/4 (* (* (* x x) (* x x)) (* x x))) (+ (/ 1/4 (* (* x x) (* x x))) (/ -1/4 (* x x)))) (* 1/2 (/ 1/2 (hypot 1 x))))))))) 87.199 * * * [progress]: adding candidates to table 90.864 * [progress]: [Phase 3 of 3] Extracting. 90.864 * * [regime]: Finding splitpoints for: (# # # #) 90.868 * * * [regime-changes]: Trying 2 branch expressions: (x (hypot 1 x)) 90.868 * * * * [regimes]: Trying to branch on x from (# # # #) 90.950 * * * * [regimes]: Trying to branch on (hypot 1 x) from (# # # #) 91.021 * * * * [regimes]: Trying to branch on (hypot 1 x) from (# # #) 91.082 * * * [regime]: Found split indices: #